Solved papers for JEE Main & Advanced AIEEE Solved Paper-2002

done AIEEE Solved Paper-2002 Total Questions - 225

• question_answer1) The inductance between A and D is              AIEEE  Solved  Paper-2002    
  A)
  3.66 H                    
  done clear
  B)
  9 H                            
  done clear
  C)
  0.66 H                
  done clear
  D)
  1 H
  done clear
  View Answer play_arrow

• question_answer2) A ball whose kinetic energy is E, is projected at an angle of \[{{45}^{o}}\] to the horizontal. The kinetic energy of the ball at the highest point of its flight will be   AIEEE  Solved  Paper-2002
  A)
          E          
  done clear
  B)
                            \[E/\sqrt{2}\].      
  done clear
  C)
            \[E/2\]                  
  done clear
  D)
            zero
  done clear
  View Answer play_arrow

• question_answer3) From a building, two balls A and B are thrown such that A is thrown upwards and B downwards (both vertically). If \[{{v}_{A}}\] and \[{{v}_{B}}\] are their respective velocities on reaching the ground, then   AIEEE  Solved  Paper-2002
  A)
  \[{{v}_{B}}>{{v}_{A}}\]     
  done clear
  B)
            \[{{v}_{A}}={{v}_{B}}\]
  done clear
  C)
  \[{{v}_{A}}>{{v}_{B}}\]
  done clear
  D)
  their velocities depend on their masses
  done clear
  View Answer play_arrow

• question_answer4) If a body loses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest? AIEEE  Solved  Paper-2002
  A)
  1 cm         
  done clear
  B)
                            2 cm                         
  done clear
  C)
            3 cm                         
  done clear
  D)
            4 cm
  done clear
  View Answer play_arrow

• question_answer5) If suddenly the gravitational force of attraction between earth and a satellite revolving around it becomes zero, then the satellite will   AIEEE  Solved  Paper-2002
  A)
  continue to move in its orbit with same velocity
  done clear
  B)
  move tangentially to the original orbit with the same velocity
  done clear
  C)
  become stationary in its orbit
  done clear
  D)
  move towards the earth
  done clear
  View Answer play_arrow

• question_answer6) If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter a   AIEEE  Solved  Paper-2002
  A)
  low resistance in parallel
  done clear
  B)
  high resistance in parallel
  done clear
  C)
  high resistance in series
  done clear
  D)
  low resistance in series
  done clear
  View Answer play_arrow

• question_answer7) If in a circular coil A of radius R, current j is flowing and in another coil B of radius 2 R, a current 2 i is flowing, then the ratio of the magnetic fields, \[{{B}_{A}}\] and \[{{B}_{B}}\] produced by them will be   AIEEE  Solved  Paper-2002
  A)
  1
  done clear
  B)
                                            2                                
  done clear
  C)
            \[1/2\]                    
  done clear
  D)
            4
  done clear
  View Answer play_arrow

• question_answer8) If two mirrors are kept at 60° to each other, then the number of images formed by them is   AIEEE  Solved  Paper-2002
  A)
  5    
  done clear
  B)
                                           6                                
  done clear
  C)
            7                                
  done clear
  D)
            8
  done clear
  View Answer play_arrow

• question_answer9) A wire when connected to 220 V mains supply has power dissipation \[{{P}_{1}}\]. Now, the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is \[{{P}_{2}}\]. Then, \[{{P}_{2}}:{{P}_{1}}\] is   AIEEE  Solved  Paper-2002
  A)
  1   
  done clear
  B)
                                            4                                
  done clear
  C)
  2                                
  done clear
  D)
            3
  done clear
  View Answer play_arrow

• question_answer10) If \[13.6\] eV energy is required to ionize the hydrogen atom, then the energy required to remove an electron from \[n=2\], is   AIEEE  Solved  Paper-2002
  A)
  \[10.2\] eV  
  done clear
  B)
                            0 eV                         
  done clear
  C)
  \[3.4\] eV      
  done clear
  D)
            \[6.8\] eV
  done clear
  View Answer play_arrow

• question_answer11) Tube A has both ends open while tube B has one end closed, otherwise they are identical. The ratio of fundamental frequency of tubes A and B is   AIEEE  Solved  Paper-2002
  A)
  \[1:2\]   
  done clear
  B)
                            \[1:4\]                                     
  done clear
  C)
  \[2:1\]                     
  done clear
  D)
            \[4:1\]
  done clear
  View Answer play_arrow

• question_answer12) A tuning fork arrangement (pair) produces 4 beats/s with one fork of frequency 288 cps. A little wax is placed on the unknown fork and it then produces 2 beats/s. The frequency of the unknown fork is   AIEEE  Solved  Paper-2002
  A)
  286 cps
  done clear
  B)
                            292 cps    
  done clear
  C)
                            294 cps                    
  done clear
  D)
  288 cps
  done clear
  View Answer play_arrow

• question_answer13) A wave \[y=a\sin \,(\omega t-kx)\] on a string meets with another wave producing a node at \[x=0\]. Then, the equation of the unknown wave is   AIEEE  Solved  Paper-2002
  A)
  \[y=a\sin \,(\omega \,t+kx)\]
  done clear
  B)
            \[y=-a\sin \,(\omega \,t+kx)\]
  done clear
  C)
  \[y=a\sin \,(\omega \,t-kx)\]
  done clear
  D)
  \[y=-a\sin \,(\omega \,t-kx)\]
  done clear
  View Answer play_arrow

• question_answer14) On moving a charge of 20 C by 2 cm, 2 J of work is done, then the potential difference between the points is   AIEEE  Solved  Paper-2002
  A)
  \[0.1\] V                 
  done clear
  B)
            8 V                            
  done clear
  C)
            2 V                            
  done clear
  D)
            \[0.2\] V
  done clear
  View Answer play_arrow

• question_answer15) If an electron and a proton having same momenta enter perpendicularly to a magnetic field, then   AIEEE  Solved  Paper-2002
  A)
  curved path of electron and proton will be same (ignoring the sense of revolution)
  done clear
  B)
  they will move undeflected
  done clear
  C)
  curved path of electron is more curved than that of proton
  done clear
  D)
  path of proton is more curved
  done clear
  View Answer play_arrow

• question_answer16) Energy required to move a body of mass m from an orbit of radius 2 R to 3 R is   AIEEE  Solved  Paper-2002
  A)
  \[GMm/12{{R}^{2}}\]                       
  done clear
  B)
  \[GMm/3{{R}^{2}}\]         
  done clear
  C)
            \[GMm/8R\]        
  done clear
  D)
            \[GMm/6R\]
  done clear
  View Answer play_arrow

• question_answer17) If a spring has time period T, and is cut into n equal parts, then the time period of each part will be   AIEEE  Solved  Paper-2002
  A)
  \[T\sqrt{n}\]    
  done clear
  B)
                            \[\frac{T}{\sqrt{n}}\]                        
  done clear
  C)
            \[nT\]                      
  done clear
  D)
            T
  done clear
  View Answer play_arrow

• question_answer18) A charged particle g is placed at the centre O of cube of length L (ABCDEFGH). Another same charge q is placed at a distance L from O. Then, the electric flux through ABCD is     AIEEE  Solved  Paper-2002
  A)
  \[q/4\pi {{\varepsilon }_{0}}L\]     
  done clear
  B)
            zero                         
  done clear
  C)
            \[q/2\pi {{\varepsilon }_{0}}L\]         
  done clear
  D)
            \[q/3\pi {{\varepsilon }_{0}}L\]
  done clear
  View Answer play_arrow

• question_answer19) If in the circuit, power dissipation is 150 W, then R is   AIEEE  Solved  Paper-2002
  A)
  \[2\,\,\Omega \]                                
  done clear
  B)
            \[6\,\,\Omega \]                
  done clear
  C)
            \[5\,\,\Omega \]                
  done clear
  D)
            \[4\,\,\Omega \]
  done clear
  View Answer play_arrow

• question_answer20) Wavelength of light used in an optical instrument   are   \[{{\lambda }_{1}}=4000\,\overset{0}{\mathop{A}}\,\]   and \[{{\lambda }_{2}}=5000\,\overset{0}{\mathop{A}}\,\], then ratio of their respective resolving powers (corresponding to \[{{\lambda }_{1}}\] and \[{{\lambda }_{2}}\]) is   AIEEE  Solved  Paper-2002
  A)
  \[16:25\]                
  done clear
  B)
            \[9:1\]                     
  done clear
  C)
            \[4:5\]   
  done clear
  D)
                            \[5:4\]
  done clear
  View Answer play_arrow

• question_answer21) Two identical particles move towards each other with velocity 2v and v respectively. The velocity of centre of mass is   AIEEE  Solved  Paper-2002
  A)
  v 
  done clear
  B)
                                            \[v/3\]                    
  done clear
  C)
            \[v/2\]   
  done clear
  D)
            zero
  done clear
  View Answer play_arrow

• question_answer22) If a current is passed through a spring, then the spring will   AIEEE  Solved  Paper-2002
  A)
  expand       
  done clear
  B)
                            compress               
  done clear
  C)
            remain same     
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer23) Heat given to a body which raises its temperature by \[{{1}^{o}}C\] is   AIEEE  Solved  Paper-2002
  A)
  water equivalent   
  done clear
  B)
            thermal capacity
  done clear
  C)
  specific heat      
  done clear
  D)
            temperature gradient
  done clear
  View Answer play_arrow

• question_answer24) At absolute zero, Si acts as   AIEEE  Solved  Paper-2002
  A)
  non-metal             
  done clear
  B)
  metal                       
  done clear
  C)
            insulator      
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer25) Electromagnetic waves are transverse in nature is evident by   AIEEE  Solved  Paper-2002
  A)
  polarisation           
  done clear
  B)
  interference         
  done clear
  C)
            reflection           
  done clear
  D)
            diffraction
  done clear
  View Answer play_arrow

• question_answer26) Which of the following is used in optical fibres?   AIEEE  Solved  Paper-2002
  A)
  Total internal reflection
  done clear
  B)
  Scattering
  done clear
  C)
  Diffraction             
  done clear
  D)
            Refraction
  done clear
  View Answer play_arrow

• question_answer27) The escape velocity of a body depends upon mass as   AIEEE  Solved  Paper-2002
  A)
  \[{{m}^{o}}\]                          
  done clear
  B)
            \[{{m}^{1}}\]                        
  done clear
  C)
            \[{{m}^{2}}\]                        
  done clear
  D)
            \[{{m}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer28) Which of the following are not electromagnetic waves?   AIEEE  Solved  Paper-2002
  A)
  Cosmic-rays          
  done clear
  B)
  \[\gamma \]-rays               
  done clear
  C)
            \[\beta \]-rays                     
  done clear
  D)
            X-rays
  done clear
  View Answer play_arrow

• question_answer29) Identify the pair whose dimensions are equal.   AIEEE  Solved  Paper-2002
  A)
  Torque and work                
  done clear
  B)
  Stress and energy              
  done clear
  C)
  Force and stress                 
  done clear
  D)
  Force and work
  done clear
  View Answer play_arrow

• question_answer30) If \[{{\theta }_{i}}\] is the inversion temperature, \[{{\theta }_{n}}\] is the neutral temperature, \[{{\theta }_{c}}\] is the temperature of the cold junction, then   AIEEE  Solved  Paper-2002
  A)
  \[{{\theta }_{i}}+{{\theta }_{c}}={{\theta }_{n}}\]      
  done clear
  B)
            \[{{\theta }_{i}}-{{\theta }_{c}}=2{{\theta }_{n}}\]                               
  done clear
  C)
  \[\frac{{{\theta }_{i}}+{{\theta }_{c}}}{2}={{\theta }_{n}}\]                             
  done clear
  D)
  \[{{\theta }_{c}}-{{\theta }_{i}}=2{{\theta }_{n}}\]
  done clear
  View Answer play_arrow

• question_answer31) Infrared radiations are detected by   AIEEE  Solved  Paper-2002
  A)
  spectrometer     
  done clear
  B)
            pyrometer                            
  done clear
  C)
  nanometer       
  done clear
  D)
            photometer
  done clear
  View Answer play_arrow

• question_answer32) If \[{{N}_{0}}\] is the original mass of the substance of half-life period \[{{t}_{1/2}}\,=5\,\,yr,\] then the amount of substance left after \[15\,yr\] is   AIEEE  Solved  Paper-2002
  A)
  \[\frac{{{N}_{0}}}{8}\]   
  done clear
  B)
                            \[\frac{{{N}_{0}}}{16}\]                    
  done clear
  C)
            \[\frac{{{N}_{0}}}{2}\]                      
  done clear
  D)
            \[\frac{{{N}_{0}}}{4}\]
  done clear
  View Answer play_arrow

• question_answer33) By increasing the temperature, the specific resistance of a conductor and a semiconductor,   AIEEE  Solved  Paper-2002
  A)
  increases for both              
  done clear
  B)
  decreases for both
  done clear
  C)
  increases and decreases, respectively
  done clear
  D)
  decreases and increases, respectively
  done clear
  View Answer play_arrow

• question_answer34) If there are n capacitors in parallel connected to V volt source, then the energy stored is equal to AIEEE  Solved  Paper-2002
  A)
  CV  
  done clear
  B)
                            \[\frac{1}{2}nC{{V}^{2}}\]               
  done clear
  C)
            \[C{{V}^{2}}\]                      
  done clear
  D)
            \[\frac{1}{2n}C{{V}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer35) Which of the following is more close to a black body?   AIEEE  Solved  Paper-2002
  A)
  Black board paint
  done clear
  B)
            Green leaves       
  done clear
  C)
            Black holes            
  done clear
  D)
            Red roses
  done clear
  View Answer play_arrow

• question_answer36) Which statement is incorrect?   AIEEE  Solved  Paper-2002
  A)
  All reversible cycles have same efficiency
  done clear
  B)
  Reversible cycle has more efficiency than an irreversible one
  done clear
  C)
  Carnot cycle is a reversible one
  done clear
  D)
  Carnot cycle has the maximum efficiency in all cycles
  done clear
  View Answer play_arrow

• question_answer37) Length of a string tied to two rigid supports is 40 cm. Maximum length (wavelength in cm) of a stationary wave produced on it, is   AIEEE  Solved  Paper-2002
  A)
  20             
  done clear
  B)
            80                              
  done clear
  C)
            40             
  done clear
  D)
            120
  done clear
  View Answer play_arrow

• question_answer38) The power factor of an AC circuit having resistance R and inductance L (connected in series) and an angular velocity co is   AIEEE  Solved  Paper-2002
  A)
  \[\frac{R}{\omega L}\]                     
  done clear
  B)
            \[\frac{R}{{{({{R}^{2}}+{{\omega }^{2}}{{L}^{2}})}^{1/2}}}\]
  done clear
  C)
                            \[\frac{\omega L}{R}\]                     
  done clear
  D)
            \[\frac{R}{{{({{R}^{2}}-{{\omega }^{2}}{{L}^{2}})}^{1/2}}}\]
  done clear
  View Answer play_arrow

• question_answer39) An astronomical telescope has a large aperture to   AIEEE  Solved  Paper-2002
  A)
  reduce spherical aberration
  done clear
  B)
  have high resolution
  done clear
  C)
  increase span of observation
  done clear
  D)
  have low dispersion
  done clear
  View Answer play_arrow

• question_answer40) The kinetic energy needed to project a body of mass m from the earth's surface (radius R) to infinity is AIEEE  Solved  Paper-2002
  A)
  \[\frac{mgR}{2}\]
  done clear
  B)
                            \[2mgR\]                
  done clear
  C)
            \[mgR\]      
  done clear
  D)
  \[\frac{mgR}{4}\]
  done clear
  View Answer play_arrow

• question_answer41) Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will AIEEE  Solved  Paper-2002
  A)
  increase 
  done clear
  B)
            decrease
  done clear
  C)
  remain same
  done clear
  D)
  decrease for some while increase for others
  done clear
  View Answer play_arrow

• question_answer42) When temperature increases, the frequency of a tuning fork   AIEEE  Solved  Paper-2002
  A)
  increases
  done clear
  B)
            decreases
  done clear
  C)
  remains same
  done clear
  D)
  increases or decreases depending on the material
  done clear
  View Answer play_arrow

• question_answer43) If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should   AIEEE  Solved  Paper-2002
  A)
  increase 
  done clear
  B)
            remain unchanged
  done clear
  C)
  decrease
  done clear
  D)
  first increase then decrease
  done clear
  View Answer play_arrow

• question_answer44) The energy band gap is maximum in AIEEE  Solved  Paper-2002
  A)
  metals     
  done clear
  B)
            superconductors
  done clear
  C)
  insulators               
  done clear
  D)
            semiconductors
  done clear
  View Answer play_arrow

• question_answer45) The part of a transistor which is most heavily doped to produce large number of majority carriers is   AIEEE  Solved  Paper-2002
  A)
  emitter   
  done clear
  B)
            base
  done clear
  C)
  collector
  done clear
  D)
  can be any of the above three
  done clear
  View Answer play_arrow

• question_answer46) In a simple harmonic oscillator, at the mean position   AIEEE  Solved  Paper-2002
  A)
  kinetic energy is minimum, potential energy is maximum
  done clear
  B)
  both kinetic and potential energies are maximum
  done clear
  C)
  kinetic energy is maximum, potential energy is minimum    
  done clear
  D)
  both kinetic and potential energies are minimum 
  done clear
  View Answer play_arrow

• question_answer47) Initial angular velocity of a circular disc of mass M is \[{{\omega }_{\,1}}\]. Then, two small spheres of mass m are attached gently to two diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?   AIEEE  Solved  Paper-2002
  A)
  \[\left( \frac{M+m}{M} \right){{\omega }_{1}}\]  
  done clear
  B)
            \[\left( \frac{M+m}{m} \right){{\omega }_{1}}\]
  done clear
  C)
  \[\left( \frac{M}{M+4m} \right){{\omega }_{1}}\]               
  done clear
  D)
            \[\left( \frac{M}{M+2m} \right){{\omega }_{1}}\]
  done clear
  View Answer play_arrow

• question_answer48) The minimum velocity (in \[m{{s}^{-1}}\]) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction \[0.6\] to avoid skidding is   AIEEE  Solved  Paper-2002
  A)
  60                              
  done clear
  B)
            30    
  done clear
  C)
  15                              
  done clear
  D)
            25
  done clear
  View Answer play_arrow

• question_answer49) A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in \[m{{s}^{-1}}\]) through a small hole on the side wall of the cylinder near its bottom, is   AIEEE  Solved  Paper-2002
  A)
  10                              
  done clear
  B)
            20    
  done clear
  C)
  \[25.5\]  
  done clear
  D)
            5
  done clear
  View Answer play_arrow

• question_answer50) A spring of force constant 800 N/m has an extension of 5 cm. The work done in extending it from 5 cm to 15 cm is   AIEEE  Solved  Paper-2002
  A)
  16 J                           
  done clear
  B)
            8 J   
  done clear
  C)
  32 J                           
  done clear
  D)
            24 J
  done clear
  View Answer play_arrow

• question_answer51) A child swinging on a swing in sitting position, stands up, then the time period of the swing will   AIEEE  Solved  Paper-2002
  A)
  increase                 
  done clear
  B)
  decrease
  done clear
  C)
  remain same
  done clear
  D)
  increase if the child is long and decrease if the child is short
  done clear
  View Answer play_arrow

• question_answer52) A lift is moving down with acceleration a. A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground are respectively   AIEEE  Solved  Paper-2002
  A)
  g, g                           
  done clear
  B)
  g-a, g-a
  done clear
  C)
  g-a, g       
  done clear
  D)
            a, g
  done clear
  View Answer play_arrow

• question_answer53) The mass of a product liberated on anode in an electrochemical cell depends on   AIEEE  Solved  Paper-2002
  A)
  \[{{(lt)}^{1/2}}\]  
  done clear
  B)
                            \[lt\]                        
  done clear
  C)
            \[l/t\]     
  done clear
  D)
            \[{{l}^{2}}t\] (where t is the time period for which the current is passed)
  done clear
  View Answer play_arrow

• question_answer54) At what temperature is the \[rms\] velocity of a hydrogen molecule equal to that of an oxygen molecule at \[{{47}^{o}}C\]?   AIEEE  Solved  Paper-2002
  A)
  80 K                                          
  done clear
  B)
  -73 K                        
  done clear
  C)
  3 K                            
  done clear
  D)
            20 K
  done clear
  View Answer play_arrow

• question_answer55) The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its   AIEEE  Solved  Paper-2002
  A)
  speed                                      
  done clear
  B)
  mass                                        
  done clear
  C)
  charge     
  done clear
  D)
            magnetic induction
  done clear
  View Answer play_arrow

• question_answer56) A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then, maximum acceleration down the plane is for (no rolling)   AIEEE  Solved  Paper-2002
  A)
  solid sphere   
  done clear
  B)
            hollow sphere     
  done clear
  C)
            ring                           
  done clear
  D)
            All same
  done clear
  View Answer play_arrow

• question_answer57) In a transformer, number of turns in the primary are 140 and that in the secondary are 280. If current in primary is 4 A, then that in the secondary is AIEEE  Solved  Paper-2002
  A)
  4 A            
  done clear
  B)
                            2 A  
  done clear
  C)
            6 A                            
  done clear
  D)
            10 A
  done clear
  View Answer play_arrow

• question_answer58) Even Carnot engine cannot give 100% efficiency because we cannot   AIEEE  Solved  Paper-2002
  A)
  prevent radiation               
  done clear
  B)
  find ideal sources
  done clear
  C)
  reach absolute zero temperature
  done clear
  D)
  eliminate friction
  done clear
  View Answer play_arrow

• question_answer59) Moment of inertia of a circular wire of mass M and radius R about its diameter is   AIEEE  Solved  Paper-2002
  A)
  \[M{{R}^{2}}/2\]
  done clear
  B)
            \[M{{R}^{2}}\]     
  done clear
  C)
                            \[2M{{R}^{2}}\]   
  done clear
  D)
            \[M{{R}^{2}}/4\]
  done clear
  View Answer play_arrow

• question_answer60) When forces \[{{F}_{1}},{{F}_{2}},{{F}_{3}}\] are acting on a particle of mass m such that \[{{F}_{1}}\] and \[{{F}_{2}}\] are mutually perpendicular, then the particle remains stationary. If the force \[{{F}_{1}}\] is now removed, then the acceleration of the particle is   AIEEE  Solved  Paper-2002
  A)
  \[{{F}_{1}}/m\]                    
  done clear
  B)
            \[{{F}_{2}}{{F}_{3}}/m{{F}_{1}}\] 
  done clear
  C)
            \[({{F}_{2}}-{{F}_{3}})/m\]      
  done clear
  D)
           \[{{F}_{2}}/m\]
  done clear
  View Answer play_arrow

• question_answer61) Two forces are such that the sum of their magnitudes is 18 N and their resultant which has magnitude 12 N, is perpendicular to the smaller force. Then, the magnitudes of the forces are   AIEEE  Solved  Paper-2002
  A)
  12 N, 6 N      
  done clear
  B)
                           13 N, 5 N
  done clear
  C)
  10 N, 8 N                
  done clear
  D)
            16 N, 2 N
  done clear
  View Answer play_arrow

• question_answer62) Speeds of two identical cars are u and 4 u at a specific instant. The ratio of the respective distances at which the two cars are stopped from that instant is   AIEEE  Solved  Paper-2002
  A)
  \[1:1\]   
  done clear
  B)
                              \[1:4\]
  done clear
  C)
  \[1:8\]                     
  done clear
  D)
            \[1:16\]
  done clear
  View Answer play_arrow

• question_answer63) 1 mole of a gas with \[\gamma =7/5\] is mixed with 1 mole of a gas with \[\gamma =5/3\] , then the value of y for the resulting mixture is   AIEEE  Solved  Paper-2002
  A)
  \[7/5\]
  done clear
  B)
                                            \[2/5\]
  done clear
  C)
  \[24/16\]                
  done clear
  D)
  \[12/7\]
  done clear
  View Answer play_arrow

• question_answer64) If a charge q is placed at the centre of the line joining two equal charges Q such that the system is in equilibrium, then the value of q is   AIEEE  Solved  Paper-2002
  A)
  \[Q/2\]      
  done clear
  B)
                            \[-Q/2\]
  done clear
  C)
  \[Q/4\]                   
  done clear
  D)
            \[-Q/4\]
  done clear
  View Answer play_arrow

• question_answer65) Capacitance (in F) of a spherical conductor having radius 1 m, is   AIEEE  Solved  Paper-2002
  A)
  \[1.1\times {{10}^{-10}}\]        
  done clear
  B)
            \[{{10}^{-6}}\]
  done clear
  C)
  \[9\times {{10}^{-9}}\]                     
  done clear
  D)
            \[{{10}^{-3}}\]
  done clear
  View Answer play_arrow

• question_answer66) A light string passing over a smooth light pulley connects two blocks of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] (vertically). If the acceleration of the system is g/8, then the ratio of the masses is   AIEEE  Solved  Paper-2002
  A)
  \[8:1\]     
  done clear
  B)
                            \[9:7\]  
  done clear
  C)
  \[4:3\]                     
  done clear
  D)
            \[5:3\]
  done clear
  View Answer play_arrow

• question_answer67) Two spheres of the same material have radii 1 m and 4 m and temperatures 4000 K and 2000 K respectively. The ratio of the energy radiated per second by the first sphere to that by the second is   AIEEE  Solved  Paper-2002
  A)
  \[1:1\]        
  done clear
  B)
                            \[16:1\]
  done clear
  C)
  \[4:1\]                     
  done clear
  D)
            \[1:9\]
  done clear
  View Answer play_arrow

• question_answer68) Three identical blocks of masses \[m=2\] kg are drawn by a force \[F=10.2\] N with an acceleration of \[0.6\,\,m{{s}^{-2}}\] on a frictionless surface, then what is the tension (in N) in the string between the blocks B and C?                AIEEE  Solved  Paper-2002
  A)
  \[9.2\]  
  done clear
  B)
                                            \[7.8\]     
  done clear
  C)
            4                
  done clear
  D)
            \[9.8\]
  done clear
  View Answer play_arrow

• question_answer69) One end of massless rope, which passes over a massless and frictionless pulley P is tied to a hook C while the other end is free. Maximum tension that the rope can bear is 360 N. With what value of maximum safe acceleration (in \[m{{s}^{-2}}\]) can a man of 60 kg climb on the rope?                             AIEEE  Solved  Paper-2002
  A)
  16   
  done clear
  B)
                                              6
  done clear
  C)
  4                                
  done clear
  D)
            8
  done clear
  View Answer play_arrow

• question_answer70) A particle of mass m moves along line PC with velocity v as shown. What is the angular momentum of the particle about O?                AIEEE  Solved  Paper-2002
  A)
  \[mvL\]                                   
  done clear
  B)
  \[mvl\]                    
  done clear
  C)
            \[mvr\]          
  done clear
  D)
  0
  done clear
  View Answer play_arrow

• question_answer71) Wires 1 and 2 carrying currents, \[{{i}_{1}}\] and \[{{i}_{2}}\] respectively are inclined at an angle \[\theta \] to each other. What is the force on a small element dl of wire 2 at a distance r from wire 1 (as shown in figure) due to the magnetic field of wire 1?                             AIEEE  Solved  Paper-2002
  A)
  \[\frac{{{\mu }_{0}}}{2\pi r}{{i}_{1}}{{i}_{2}}\,dl\tan \theta \]         
  done clear
  B)
  \[\frac{{{\mu }_{0}}}{2\pi r}{{i}_{1}}{{i}_{2}}\,dl\sin \theta \]
  done clear
  C)
            \[\frac{{{\mu }_{0}}}{2\pi r}{{i}_{1}}{{i}_{2}}\,dl\cos \theta \] 
  done clear
  D)
           \[\frac{{{\mu }_{0}}}{2\pi r}{{i}_{1}}{{i}_{2}}\,dl\sin \theta \]
  done clear
  View Answer play_arrow

• question_answer72) At a specific instant emission of radioactive compound is deflected in a magnetic field. The compound can emit (i) electrons                           (ii) protons (iii) \[H{{e}^{+}}\]                                (iv) neutrons The emission at the instant can be   AIEEE  Solved  Paper-2002
  A)
  (i), (ii), (iii) 
  done clear
  B)
                            (i), (ii), (iii), (iv)     
  done clear
  C)
  (iv)                        
  done clear
  D)
            (ii), (iii)
  done clear
  View Answer play_arrow

• question_answer73) Sodium and copper have work functions \[2.3\] eV and \[4.5\] eV respectively. Then, the ratio of the wavelengths is nearest to   AIEEE  Solved  Paper-2002
  A)
  \[1:2\]                     
  done clear
  B)
            \[4:1\]                     
  done clear
  C)
            \[2:1\]                     
  done clear
  D)
            \[1:4\]
  done clear
  View Answer play_arrow

• question_answer74) Formation of covalent bonds in compounds exhibits   AIEEE  Solved  Paper-2002
  A)
  wave nature of electron
  done clear
  B)
  particle nature of electron
  done clear
  C)
  both wave and particle nature of electron
  done clear
  D)
  None of the above
  done clear
  View Answer play_arrow

• question_answer75) A conducting square loop of side L and resistance R moves in its plane with a uniform velocity v perpendicular to one of its sides. A magnetic induction B constant in time and space, pointing perpendicular and into the plane at the loop exist everywhere with half the loop outside the field, as shown in figure. The induced emf is                AIEEE  Solved  Paper-2002
  A)
  zero             
  done clear
  B)
                            \[RvB\]
  done clear
  C)
  \[\frac{vBL}{R}\]                                 
  done clear
  D)
  \[vBL\]
  done clear
  View Answer play_arrow

• question_answer76) Which of the following is a redox reaction?   AIEEE  Solved  Paper-2002
  A)
  \[NaCl+KN{{O}_{3}}\xrightarrow{{}}NaN{{O}_{3}}+KCl\]
  done clear
  B)
  \[Ca{{C}_{2}}{{O}_{4}}+2HCl\xrightarrow{{}}CaC{{l}_{2}}+{{H}_{2}}{{C}_{2}}{{O}_{4}}\]
  done clear
  C)
  \[Ca{{(OH)}_{2}}+2N{{H}_{4}}Cl\xrightarrow{{}}CaC{{l}_{2}}+2N{{H}_{3}}\]\[+2{{H}_{2}}O\]
  done clear
  D)
  \[2K[Ag{{(CN)}_{2}}]+Zn\xrightarrow{{}}2Ag+{{K}_{2}}[Zn{{(CN)}_{4}}]\]
  done clear
  View Answer play_arrow

• question_answer77) For an ideal gas, number of mol per litre in terms of its pressure p, temperature T and gas constant R is   AIEEE  Solved  Paper-2002
  A)
       \[\frac{pT}{R}\]                   
  done clear
  B)
                      pRT                           
  done clear
  C)
                      \[\frac{p}{RT}\]                   
  done clear
  D)
                      \[\frac{RT}{p}\]
  done clear
  View Answer play_arrow

• question_answer78) Number of P - O bonds in \[{{P}_{4}}{{O}_{10}}\] is   AIEEE  Solved  Paper-2002
  A)
  17                 
  done clear
  B)
  16              
  done clear
  C)
  15    
  done clear
  D)
  6
  done clear
  View Answer play_arrow

• question_answer79) \[K{{O}_{2}}\] is used in space and submarines because it   AIEEE  Solved  Paper-2002
  A)
  absorbs \[C{{O}_{2}}\] and increases \[{{O}_{2}}\] concentration
  done clear
  B)
  absorbs moisture
  done clear
  C)
  absorbs \[C{{O}_{2}}\]
  done clear
  D)
  produces ozone
  done clear
  View Answer play_arrow

• question_answer80) Which of the following ions has the maximum magnetic moment?   AIEEE  Solved  Paper-2002
  A)
  \[M{{n}^{2+}}\]                  
  done clear
  B)
  \[F{{e}^{2+}}\]    
  done clear
  C)
            \[T{{i}^{2+}}\]      
  done clear
  D)
            \[C{{r}^{2+}}\]
  done clear
  View Answer play_arrow

• question_answer81) Acetylene does not react with AIEEE  Solved  Paper-2002
  A)
  Na          
  done clear
  B)
                            ammoniacal \[AgN{{O}_{3}}\]
  done clear
  C)
  \[HCl\]                    
  done clear
  D)
            \[NaOH\]
  done clear
  View Answer play_arrow

• question_answer82) Compound A given below is              AIEEE  Solved  Paper-2002
  A)
  antiseptic      
  done clear
  B)
            antibiotic
  done clear
  C)
            analgesic          
  done clear
  D)
            pesticide
  done clear
  View Answer play_arrow

• question_answer83) For the following cell with hydrogen electrodes at two different pressures pi and?2 \[\underset{{{p}_{1}}}{\mathop{\operatorname{P}t({{H}_{2}})}}\,\,\,\underset{1M}{\mathop{\left| {{H}^{+}}(aq) \right|}}\,\,\,\underset{{{p}_{2}}}{\mathop{\operatorname{P}t({{H}_{2}})}}\,\]  emf is given by   AIEEE  Solved  Paper-2002
  A)
  \[\frac{RT}{F}{{\log }_{e}}\frac{{{p}_{1}}}{{{p}_{2}}}\]                       
  done clear
  B)
  \[\frac{RT}{2F}{{\log }_{e}}\frac{{{p}_{1}}}{{{p}_{2}}}\]     
  done clear
  C)
            \[\frac{RT}{F}{{\log }_{e}}\frac{{{p}_{2}}}{{{p}_{1}}}\]       
  done clear
  D)
            \[\frac{RT}{2F}{{\log }_{e}}\frac{{{p}_{2}}}{{{p}_{1}}}\]
  done clear
  View Answer play_arrow

• question_answer84) Acetylene reacts with hypochlorous acid to form   AIEEE  Solved  Paper-2002
  A)
  \[C{{l}_{2}}CHCHO\]      
  done clear
  B)
            \[ClC{{H}_{2}}COOH\]
  done clear
  C)
            \[C{{H}_{3}}COCl\]       
  done clear
  D)
            \[ClC{{H}_{2}}CHO\]
  done clear
  View Answer play_arrow

• question_answer85) On heating benzyl amine with chloroform and ethanolic KOH, product obtained is   AIEEE  Solved  Paper-2002
  A)
  benzyl alcohol    
  done clear
  B)
            benzaldehyde     
  done clear
  C)
  benzonitrile       
  done clear
  D)
            benzyl isocyanide
  done clear
  View Answer play_arrow

• question_answer86) Which of the following reaction is possible at anode?   AIEEE  Solved  Paper-2002
  A)
  \[{{F}_{2}}+2{{e}^{-}}\xrightarrow{{}}2{{F}^{-}}\]
  done clear
  B)
  \[2{{H}^{+}}+\frac{1}{2}{{O}_{2}}+2{{e}^{-}}\xrightarrow{{}}{{H}_{2}}O\]
  done clear
  C)
  \[2C{{r}^{3+}}+7{{H}_{2}}O\xrightarrow{{}}C{{r}_{2}}O_{7}^{2-}+14{{H}^{+}}+6{{e}^{-}}\]
  done clear
  D)
  \[F{{e}^{2+}}\xrightarrow{{}}F{{e}^{3+}}+{{e}^{-}}\]
  done clear
  View Answer play_arrow

• question_answer87) Which of the following concentration factor is affected by change in temperature?   AIEEE  Solved  Paper-2002
  A)
  Molarity     
  done clear
  B)
            Molality  
  done clear
  C)
            Mole fraction     
  done clear
  D)
           Weight fraction
  done clear
  View Answer play_arrow

• question_answer88) Cyanide process is used for the extraction of   AIEEE  Solved  Paper-2002
  A)
  barium
  done clear
  B)
                            silver                        
  done clear
  C)
  boron      
  done clear
  D)
            zinc
  done clear
  View Answer play_arrow

• question_answer89) Following reaction, \[{{(C{{H}_{3}})}_{3}}CBr+{{H}_{2}}O\xrightarrow{{}}{{(C{{H}_{3}})}_{3}}COH+HBr\]              is an example of     AIEEE  Solved  Paper-2002
  A)
  elimination reaction
  done clear
  B)
  free radical substitution
  done clear
  C)
  nucleophilic substitution
  done clear
  D)
  electrophilic substitution
  done clear
  View Answer play_arrow

• question_answer90) A metal M forms water soluble \[MS{{O}_{4}}\] and inert MO. MO in aqueous solution forms insoluble \[M{{(OH)}_{2}}\] soluble in \[NaOH\]. Metal M is   AIEEE  Solved  Paper-2002
  A)
  \[Be\]                                      
  done clear
  B)
  \[Mg\]                    
  done clear
  C)
  \[Ca\]                      
  done clear
  D)
            \[Si\]
  done clear
  View Answer play_arrow

• question_answer91) Half-life of a substance A following first order kinetics is 5 days. Starting with 100g of A, amount left after 15 days is   AIEEE  Solved  Paper-2002
  A)
  25 g   
  done clear
  B)
                            50 g                          
  done clear
  C)
  \[12.5\]g                
  done clear
  D)
            \[6.25\]g
  done clear
  View Answer play_arrow

• question_answer92) The most stable ion is   AIEEE  Solved  Paper-2002
  A)
  \[{{[Fe{{(OH)}_{5}}]}^{3-}}\]     
  done clear
  B)
            \[{{[FeC{{l}_{6}}]}^{3-}}\]
  done clear
  C)
            \[{{[Fe{{(CN)}_{6}}]}^{3-}}\]          
  done clear
  D)
  \[{{[Fe{{({{H}_{2}}O)}_{6}}]}^{3+}}\]
  done clear
  View Answer play_arrow

• question_answer93) A substance forms Zwitter ion. It can have functional groups   AIEEE  Solved  Paper-2002
  A)
  \[-N{{H}_{2}},-COOH\] 
  done clear
  B)
            \[-N{{H}_{2}},-S{{O}_{3}}H\]
  done clear
  C)
  Both (a) and (b)
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer94) If \[F{{e}^{3+}}\] and \[C{{r}^{3+}}\] both are present in group III of qualitative analysis, then distinction can be made by   AIEEE  Solved  Paper-2002
  A)
  addition of \[N{{H}_{4}}OH\] in the presence of \[N{{H}_{4}}Cl\] when only \[Fe{{(OH)}_{3}}\] is precipitated
  done clear
  B)
  addition of \[N{{H}_{4}}OH\]) in the presence of \[N{{H}_{4}}Cl\]I when \[Cr{{(OH)}_{3}}\] and \[Fe{{(OH)}_{3}}\] both are precipitated and on adding \[B{{r}_{2}}\] water and NaOH, \[Cr{{(OH)}_{3}}\] dissolves
  done clear
  C)
  precipitate of \[Cr{{(OH)}_{3}}\] and \[Fe{{(OH)}_{3}}\] as obtained in (b) are treated with cone. HCI when only \[Fe{{(OH)}_{3}}\] dissolves
  done clear
  D)
  Both (b) and (c)
  done clear
  View Answer play_arrow

• question_answer95) In an organic compound of molar mass \[108\,g\,mo{{l}^{-1}}\] C, H and N atoms are present in \[9:1:3.5\] by weight. Molecular formula can be   AIEEE  Solved  Paper-2002
  A)
  \[{{C}_{6}}{{H}_{8}}{{N}_{2}}\]  
  done clear
  B)
                            \[{{C}_{7}}{{H}_{10}}N\]  
  done clear
  C)
            \[{{C}_{5}}{{H}_{6}}{{N}_{3}}\]     
  done clear
  D)
            \[{{C}_{4}}{{H}_{18}}{{N}_{3}}\]  
  done clear
  View Answer play_arrow

• question_answer96) Solubility of \[Ca{{(OH)}_{2}}\] is s \[mol{{L}^{-1}}\]. The solubility product \[({{K}_{sp}})\] under the same condition is   AIEEE  Solved  Paper-2002
  A)
  \[4{{s}^{3}}\]  
  done clear
  B)
                            \[3{{s}^{4}}\]                        
  done clear
  C)
            \[4{{s}^{2}}\]                        
  done clear
  D)
            \[{{s}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer97) Heat required to raise the temperature of mole of a substance by \[{{1}^{o}}C\] is called   AIEEE  Solved  Paper-2002
  A)
  specific heat      
  done clear
  B)
           molar heat capacity
  done clear
  C)
                            water equivalent                
  done clear
  D)
  specific gravity
  done clear
  View Answer play_arrow

• question_answer98) \[\beta \]-particle is emitted in a radioactive reaction when   AIEEE  Solved  Paper-2002
  A)
  a proton changes to neutron
  done clear
  B)
  a neutron changes to proton
  done clear
  C)
  a neutron changes to electron
  done clear
  D)
  an electron changes to neutron
  done clear
  View Answer play_arrow

• question_answer99) In a mixture of A and B, components show negative deviation when   AIEEE  Solved  Paper-2002
  A)
  A-B interaction is stronger than A-A and B-B interaction
  done clear
  B)
  A-B interaction is weaker than A-A and B-B interaction             
  done clear
  C)
  \[\Delta {{V}_{\operatorname{mi}x}}>0\],  \[\Delta {{S}_{\operatorname{mi}x}}>0\]
  done clear
  D)
  \[\Delta {{V}_{\operatorname{mi}x}}=0\], \[\Delta {{S}_{\operatorname{mi}x}}>0\]
  done clear
  View Answer play_arrow

• question_answer100) Refining of impure copper with zinc impurity is to be done by electrolysis using electrodes as   AIEEE  Solved  Paper-2002
  A)
  Cathode - pure copper                  Anode- pure zinc
  done clear
  B)
  Cathode - pure zinc                         Anode- pure copper
  done clear
  C)
  Cathode - pure copper                  Anode- impure copper
  done clear
  D)
  Cathode - pure zinc                         Anode- impure zinc
  done clear
  View Answer play_arrow

• question_answer101) Aluminium is extracted by the electrolysis of   AIEEE  Solved  Paper-2002
  A)
  alumina  
  done clear
  B)
            bauxite   
  done clear
  C)
  molten cryolite
  done clear
  D)
  alumina mixed with molten cryolite
  done clear
  View Answer play_arrow

• question_answer102) For an aqueous solution, freezing point is\[{{0.186}^{o}}C\]. Elevation of the boiling point of the same solution is (\[{{K}_{f}}={{1.86}^{o}}mo{{l}^{-1}}kg\] and \[{{K}_{b}}={{0512}^{o}}mo{{l}^{-1}}kg\])   AIEEE  Solved  Paper-2002
  A)
  \[{{0.186}^{o}}\]
  done clear
  B)
            \[{{0.0.512}^{o}}\]             
  done clear
  C)
             \[{{186}^{o}}\]    
  done clear
  D)
            \[{{5.12}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer103) Underlined carbon is \[s{{p}^{3}}\] hybridised in   AIEEE  Solved  Paper-2002
  A)
   \[C{{H}_{3}}\underline{C}H=C{{H}_{2}}\]   
  done clear
  B)
            \[C{{H}_{3}}\underline{C}{{H}_{2}}N{{H}_{2}}\]   
  done clear
  C)
            \[C{{H}_{3}}\underline{C}ON{{H}_{2}}\]     
  done clear
  D)
            \[C{{H}_{3}}C{{H}_{2}}\underline{C}N\]
  done clear
  View Answer play_arrow

• question_answer104) Bond angle of \[{{109}^{o}}28\]'is found in   AIEEE  Solved  Paper-2002
  A)
  \[N{{H}_{3}}\]      
  done clear
  B)
            \[{{H}_{2}}O\]      
  done clear
  C)
            \[\overset{\oplus }{\mathop{C}}\,{{H}_{5}}\]       
  done clear
  D)
            \[\overset{\oplus }{\mathop{N}}\,{{H}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer105) For a reaction \[A+2B\xrightarrow{{}}C\], rate is given by \[+\frac{d[C]}{dt}=k[A][B]\], hence the order of the reaction is   AIEEE  Solved  Paper-2002
  A)
  3                                
  done clear
  B)
            2                                
  done clear
  C)
  1                                
  done clear
  D)
            0
  done clear
  View Answer play_arrow

• question_answer106) \[C{{H}_{3}}MgI\]is an organometallic compound due to   AIEEE  Solved  Paper-2002
  A)
  Mg-l bond      
  done clear
  B)
  C-l bond              
  done clear
  C)
  C-Mg bond     
  done clear
  D)
  C-H bond
  done clear
  View Answer play_arrow

• question_answer107) One of the following species acts as both Bronsted acid and base   AIEEE  Solved  Paper-2002
  A)
  \[{{H}_{2}}PO_{2}^{-}\]                   
  done clear
  B)
            \[HPO_{3}^{2-}\]
  done clear
  C)
            \[HPO_{4}^{2-}\]                
  done clear
  D)
            All of these
  done clear
  View Answer play_arrow

• question_answer108) Hybridisation of the underline atom changes in   AIEEE  Solved  Paper-2002
  A)
  \[\underline{A}\,l{{H}_{3}}\] changes to \[\underline{A}\,lH_{4}^{-}\]
  done clear
  B)
  \[{{H}_{2}}\underline{O}\] changes to \[{{H}_{3}}{{O}^{+}}\]
  done clear
  C)
  \[\underline{N}{{H}_{3}}\] changes to \[NH_{4}^{+}\]
  done clear
  D)
  in all the above cases
  done clear
  View Answer play_arrow

• question_answer109) Racemic mixture is formed by mixing two   AIEEE  Solved  Paper-2002
  A)
  isomeric compounds        
  done clear
  B)
  chiral compounds
  done clear
  C)
   meso compounds
  done clear
  D)
  enantiomers with chiral carbon
  done clear
  View Answer play_arrow

• question_answer110) The number of lone pairs on \[Xe\] in \[Xe{{F}_{2}},Xe{{F}_{4}}\] and \[Xe{{F}_{6}}\]respectively are   AIEEE  Solved  Paper-2002
  A)
  3, 2, 1            
  done clear
  B)
            2, 4, 6                       
  done clear
  C)
            1, 2, 3                       
  done clear
  D)
            6, 4, 2
  done clear
  View Answer play_arrow

• question_answer111) An aqueous solution of \[1\,M\,NaCl\] and \[1\,M\,HCl\] is   AIEEE  Solved  Paper-2002
  A)
  not a buffer but \[pH<7\]
  done clear
  B)
  not a buffer but \[pH>7\]
  done clear
  C)
  a buffer with \[pH<7\]
  done clear
  D)
  a buffer with \[pH>7\]
  done clear
  View Answer play_arrow

• question_answer112) Consider the following two reactions, \[A\xrightarrow{{}}\] Product \[-\frac{d[A]}{dt}={{k}_{1}}{{[A]}^{o}}\] \[B\xrightarrow{{}}\] Product \[-\frac{d[B]}{dt}={{k}_{2}}[B]\] \[{{k}_{1}}\] and \[{{k}_{2}}\] are expressed in terms of molarity(mol \[{{L}^{-1}}\]) and time \[({{s}^{-1}})\] as   AIEEE  Solved  Paper-2002
  A)
  \[{{s}^{-1}},M\,{{s}^{-1}}\,{{L}^{-1}}\]      
  done clear
  B)
            \[M\,{{s}^{-1}},\,\,M\,{{s}^{-1}}\]              
  done clear
  C)
            \[{{s}^{-1}},{{M}^{-1}}\,{{s}^{-1}}\]       
  done clear
  D)
            \[M\,{{s}^{-1}},\,{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer113) RNA contains
  A)
  ribose sugar and thymine
  done clear
  B)
  ribose sugar and uracil
  done clear
  C)
  deoxyribose sugar and uracil
  done clear
  D)
  deoxyribose sugar and thymine
  done clear
  View Answer play_arrow

• question_answer114) For a cell given below \[Ag\,\left| A{{g}^{+}} \right|\left| C{{u}^{2+}} \right|\,\,Cu\]                                                                                                    -                    + \[A{{g}^{+}}+{{e}^{-}}\xrightarrow{{}}Ag,\,{{E}^{o}}=x\] \[C{{u}^{2+}}2\,{{e}^{-}}\xrightarrow{{}}Cu,\,{{E}^{o}}=y\] \[{{E}^{o}}_{cell}\] is   AIEEE  Solved  Paper-2002
  A)
  \[x+2y\]       
  done clear
  B)
                            \[2x+y\] 
  done clear
  C)
            \[y-x\]                     
  done clear
  D)
            \[y-2x\]
  done clear
  View Answer play_arrow

• question_answer115) Based on kinetic theory of gases, following laws can be proved   AIEEE  Solved  Paper-2002
  A)
  Boyle's law            
  done clear
  B)
            Charle's law          
  done clear
  C)
            Avogadro's law    
  done clear
  D)
  All of the above
  done clear
  View Answer play_arrow

• question_answer116) \[MnO_{4}^{-}\] is a good oxidising agent in different medium changing to                    \[MnO_{4}^{-}\]              \[\xrightarrow{{}}M{{n}^{2+}}\]                                    \[\xrightarrow{{}}MnO_{4}^{2+}\]                                    \[\xrightarrow{{}}Mn{{O}_{2}}\]                                    \[\xrightarrow{{}}M{{n}_{2}}{{O}_{3}}\] Changes    in    oxidation    number respectively are   AIEEE  Solved  Paper-2002
  A)
  1, 3, 4, 5      
  done clear
  B)
                            5, 4, 3, 2  
  done clear
  C)
            5, 1, 3, 4                  
  done clear
  D)
            2, 6, 4, 3
  done clear
  View Answer play_arrow

• question_answer117) For the reaction, \[{{H}_{2}}+{{I}_{2}}\xrightarrow{{}}2Hl\], the differential rate law is   AIEEE  Solved  Paper-2002
  A)
  \[-\frac{d\,[{{H}_{2}}]}{dt}=-\frac{d\,[{{l}_{2}}]}{dt}=2\frac{d\,[Hl]}{dt}\]
  done clear
  B)
  \[-2\frac{d\,[{{H}_{2}}]}{dt}=-2\frac{d\,[{{l}_{2}}]}{dt}=\frac{d\,[Hl]}{dt}\]
  done clear
  C)
  \[-\frac{d\,[{{H}_{2}}]}{dt}=-\frac{d\,[{{l}_{2}}]}{dt}=\frac{d\,[Hl]}{dt}\]
  done clear
  D)
  \[-\frac{d\,[{{H}_{2}}]}{2dt}=-\frac{d\,[{{l}_{2}}]}{2dt}=\frac{d\,[Hl]}{dt}\]
  done clear
  View Answer play_arrow

• question_answer118) Number of atoms in 560 g of Fe (atomic mass 56 g \[mo{{l}^{-1}}\]) is   AIEEE  Solved  Paper-2002
  A)
  twice that of 70 g N           
  done clear
  B)
  half that of 20 g H
  done clear
  C)
            Both (a) and (b) 
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer119) Geometrical isomerism is not shown by   AIEEE  Solved  Paper-2002
  A)
  1, 1 -dichloro-1 ?pentene
  done clear
  B)
  1, 2-dichloro-l-pentene
  done clear
  C)
  1, 3-dichloro-2-pentene
  done clear
  D)
  1, 4-dichloro-2-pentene
  done clear
  View Answer play_arrow

• question_answer120) Number of atoms in the unit cell of Na (bcc type crystal) and Mg (fee type crystal) are respectively   AIEEE  Solved  Paper-2002
  A)
  4, 4                                           
  done clear
  B)
  4, 2                           
  done clear
  C)
  2, 4                           
  done clear
  D)
            1, 1
  done clear
  View Answer play_arrow

• question_answer121) Which of the following compounds has incorrect IUPAC nomenclature?   AIEEE  Solved  Paper-2002
  A)
  \[C{{H}_{3}}\underset{\,\text{Ethylbutanoate}}{\mathop{C{{H}_{2}}\overset{\begin{smallmatrix}  O \\  || \end{smallmatrix}}{\mathop{C}}\,{{H}_{2}}CO{{C}_{2}}}}\,{{H}_{5}}\]
  done clear
  B)
  \[C{{H}_{3}}CH\underset{\begin{smallmatrix}  | \\  \underset{\text{3}-\text{ methyl butanal}}{\mathop{C{{H}_{3}}}}\, \end{smallmatrix}}{\mathop{C}}\,{{H}_{2}}CHO\]
  done clear
  C)
           \[C{{H}_{3}}CH\underset{\begin{smallmatrix}  | \\  \underset{\text{2}-\text{methyl }-\text{3}-\text{ pentanone}}{\mathop{C{{H}_{3}}}}\, \end{smallmatrix}}{\mathop{\overset{\begin{smallmatrix}  O \\  || \end{smallmatrix}}{\mathop{C}}\,C}}\,{{H}_{2}}C{{H}_{3}}\]
  done clear
  D)
  \[\underset{\text{2}-\text{ methyl }-\text{3}-\text{ butanol}}{\mathop{C{{H}_{3}}\underset{\begin{smallmatrix}  | \\  {{H}_{3}}C \end{smallmatrix}}{\mathop{C}}\,H\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{C}}\,HC{{H}_{3}}}}\,\]     
  done clear
  View Answer play_arrow

• question_answer122) End product of the following reaction is \[C{{H}_{3}}C{{H}_{2}}COOH\xrightarrow[\text{Red P}]{C\,{{l}_{2}}}\xrightarrow{\text{Alcoholic KOH}}\]   AIEEE  Solved  Paper-2002
  A)
               \[C{{H}_{3}}\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{C}}\,HCOOH\]                    
  done clear
  B)
               \[C{{H}_{2}}\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{C}}\,{{H}_{2}}COOH\]             
  done clear
  C)
            \[C{{H}_{2}}=CHCOOH\]
  done clear
  D)
           \[\underset{\begin{smallmatrix}  | \\  Cl \end{smallmatrix}}{\mathop{C}}\,{{H}_{2}}\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{C}}\,HCOOH\]
  done clear
  View Answer play_arrow

• question_answer123) For the following reaction in gaseous phase \[CO+\frac{1}{2}{{O}_{2}}\xrightarrow{{}}C{{O}_{2}}\] \[{{K}_{c}}/{{K}_{p}}\] is   AIEEE  Solved  Paper-2002
  A)
  \[{{(RT)}^{1/2}}\]
  done clear
  B)
                            \[{{(RT)}^{-1/2}}\]              
  done clear
  C)
            (RT)          
  done clear
  D)
            \[{{(RT)}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer124) Energy of H-atom in the ground state is -13.6 eV, hence energy in the second excited state is   AIEEE  Solved  Paper-2002
  A)
  \[-6.8\] eV             
  done clear
  B)
            \[-3.4\] eV             
  done clear
  C)
            \[-1.51\] eV          
  done clear
  D)
            \[-4.53\] Ev
  done clear
  View Answer play_arrow

• question_answer125) A square planar complex is formed by hybridisation of the following atomic orbitals   AIEEE  Solved  Paper-2002
  A)
  \[s,{{p}_{x}},{{p}_{y}},{{p}_{Z}}\]     
  done clear
  B)
           \[s,{{p}_{x}},{{p}_{y}},{{p}_{Z}},d\]
  done clear
  C)
                            \[d,s,{{p}_{x}},{{p}_{y}}\]       
  done clear
  D)
            \[s,{{p}_{x}},{{p}_{y}},{{p}_{Z}},d,d\]
  done clear
  View Answer play_arrow

• question_answer126) Type   of   isomerism   shown   by \[[Cr{{(N{{H}_{3}})}_{5}}N{{O}_{2}}]C{{l}_{2}}\] is   AIEEE  Solved  Paper-2002
  A)
  optical 
  done clear
  B)
                                            ionization               
  done clear
  C)
            geometrical       
  done clear
  D)
            linkage
  done clear
  View Answer play_arrow

• question_answer127) One of the following equilibria is not affected by change in volume of the flask   AIEEE  Solved  Paper-2002
  A)
  \[PC{{l}_{5}}(g)\underset{{}}{\leftrightarrows}PC{{l}_{3}}(g)+C{{l}_{2}}(g)\]
  done clear
  B)
  \[{{N}_{2}}(g)+3{{H}_{2}}(g)\underset{\,}{\leftrightarrows}2N{{H}_{3}}(g)\]
  done clear
  C)
  \[{{N}_{2}}(g)+{{O}_{2}}(g)\overset{\,}{leftrightarrows}2NO(g)\]
  done clear
  D)
  \[S{{O}_{2}}C{{l}_{2}}(g)\underset{\,}{\leftrightarrows}S{{O}_{2}}(g)+C{{l}_{2}}(g)\]
  done clear
  View Answer play_arrow

• question_answer128) Uncertainty in position of a particle of 25 g in space is \[{{10}^{-5}}\] m. Hence, uncertainty in velocity \[(m{{s}^{-1}})\] is (Planck's constant \[h=6.6\times {{10}^{-34}}Js\])   AIEEE  Solved  Paper-2002
  A)
  \[2.1\times {{10}^{-28}}\]   
  done clear
  B)
                            \[2.1\times {{10}^{-34}}\]               
  done clear
  C)
            \[0.5\times {{10}^{-34}}\]       
  done clear
  D)
            \[5.0\times {{10}^{-24}}\]
  done clear
  View Answer play_arrow

• question_answer129) Consider the following reactions at \[{{1100}^{o}}C\] (I) \[2C+{{O}_{2}}\xrightarrow{{}}2CO\], \[\Delta {{G}^{o}}=-460\,kJ\,mo{{l}^{-1}}\] (II) \[2Zn+{{O}_{2}}\xrightarrow{{}}2ZnO\], \[\Delta {{G}^{o}}+=-360\,kJ\,mo{{l}^{-1}}\] Based on these, select the correct alternate.   AIEEE  Solved  Paper-2002
  A)
  Zinc can be oxidised by CO
  done clear
  B)
  Zinc oxide can be reduced by carbon
  done clear
  C)
  Both (a) and (b)
  done clear
  D)
  None of the above
  done clear
  View Answer play_arrow

• question_answer130) A reaction is non-spontaneous at the freezing point of water but is spontaneous at the boiling point of water then   AIEEE  Solved  Paper-2002
  A)
  \[\Delta H\,\,\,\,\,+ve\]                \[\Delta S\,\,\,\,+ve\]
  done clear
  B)
  \[\Delta H\,\,\,\,\,-ve\]                 \[\Delta S\,\,\,\,-ve\]
  done clear
  C)
  \[\Delta H\,\,\,\,\,-ve\]                 \[\Delta S\,\,\,\,+ve\]
  done clear
  D)
  \[\Delta H\,\,\,\,\,+ve\]                \[\Delta S\,\,\,\,-ve\]
  done clear
  View Answer play_arrow

• question_answer131) Monomers are converted to polymer by   AIEEE  Solved  Paper-2002
  A)
  hydrolysis of monomers
  done clear
  B)
  condensation reaction between monomers
  done clear
  C)
  protonation of monomers
  done clear
  D)
  None of the above
  done clear
  View Answer play_arrow

• question_answer132) Increasing order of bond strength of \[{{O}_{2}},O_{2}^{-}\,O_{2}^{2-}\] and \[O_{2}^{+}\] is   AIEEE  Solved  Paper-2002
  A)
  \[O_{2}^{+}<{{O}_{2}}<O_{2}^{-}<O_{2}^{2-}\]   
  done clear
  B)
  \[{{O}_{2}}<O_{2}^{+}<O_{2}^{-}<O_{2}^{2-}\]
  done clear
  C)
  \[O_{2}^{-}<O_{2}^{2-}<O_{2}^{+}<{{O}_{2}}\]
  done clear
  D)
  \[O_{2}^{2-}<O_{2}^{-}<{{O}_{2}}<O_{2}^{+}\]
  done clear
  View Answer play_arrow

• question_answer133) Most common oxidation states of Ce (cerium) are   AIEEE  Solved  Paper-2002
  A)
  \[+3,\,\,+4\]       
  done clear
  B)
                            \[+2,\,\,+3\]         
  done clear
  C)
            \[+2,\,\,+4\]                         
  done clear
  D)
            \[+3,\,\,+5\]
  done clear
  View Answer play_arrow

• question_answer134) \[C{{e}^{3+}},\,\,L{{a}^{3+}},\,P{{m}^{3+}}\] and \[Y{{b}^{3+}}\] have ionic radii in the increasing order as   AIEEE  Solved  Paper-2002
  A)
  \[L{{a}^{3+}}<C{{e}^{3+}}<P{{m}^{3+}}<Y{{b}^{3+}}\]
  done clear
  B)
  \[Y{{b}^{3+}}<P{{m}^{3+}}<C{{e}^{3+}}<L{{a}^{3+}}\]
  done clear
  C)
  \[L{{a}^{3+}}\,=C{{e}^{3+}}\,<P{{m}^{3+}}\,<Y{{b}^{3+}}\]
  done clear
  D)
  \[Y{{b}^{3+}}<P{{m}^{3+}}<L{{a}^{3+}}<C{{e}^{3+}}\]
  done clear
  View Answer play_arrow

• question_answer135) pH of \[0.005\] M calcium acetate (\[P{{K}_{a}}\] of \[C{{H}_{3}}COOH=4.74\]) is   AIEEE  Solved  Paper-2002
  A)
  \[7.04\]   
  done clear
  B)
                            \[9.37\]                   
  done clear
  C)
  \[9.26\]                   
  done clear
  D)
            \[8.37\]   
  done clear
  View Answer play_arrow

• question_answer136) \[{{H}_{2}}\] gas is absorbed on the metal surface like tungsten. This follows ...... order reaction.     AIEEE  Solved  Paper-2002
  A)
  third          
  done clear
  B)
                            second    
  done clear
  C)
            zero                         
  done clear
  D)
            first
  done clear
  View Answer play_arrow

• question_answer137) Rate constant k of the first order reaction when initial concentration \[{{C}_{0}}\] and concentration \[{{C}_{t}}\] at time \[t\] is given by equation \[kt=\log \,{{C}_{0}}-\log {{C}_{t}}\] Graph is a straight line if we plot   AIEEE  Solved  Paper-2002
  A)
  \[t\,\,vs\,\,\log \,\,{{C}_{0}}\]   
  done clear
  B)
            \[t\,\,vs\,\,\log \,{{C}_{t}}\]          
  done clear
  C)
            \[{{t}^{-1}}\,\,vs\,\,\log \,{{C}_{t}}\]       
  done clear
  D)
            \[\log \,\,{{C}_{t}}\,vs\,\,\log \,\,{{C}_{t}}\]
  done clear
  View Answer play_arrow

• question_answer138) Alum is widely used to purify water since   AIEEE  Solved  Paper-2002
  A)
  it forms complex with clay particles
  done clear
  B)
  it coagulates the mud particles
  done clear
  C)
  it exchanges \[C{{a}^{2+}}\] and \[M{{g}^{2+}}\] ions present in hard water
  done clear
  D)
  its sulphate ion is water purifier
  done clear
  View Answer play_arrow

• question_answer139) On vigorous oxidation by permangnate solution \[{{(C{{H}_{3}})}_{2}}C=CHC{{H}_{2}}CHO\] gives   AIEEE  Solved  Paper-2002
  A)
  \[{{(C{{H}_{3}})}_{2}}CO\] and \[OHCC{{H}_{2}}CHO\]
  done clear
  B)
  \[{{(C{{H}_{3}})}_{2}}\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{C}}\,-\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{C}}\,HC{{H}_{2}}CHO\]
  done clear
  C)
  \[{{(C{{H}_{3}})}_{2}}CO\] and \[OHCC{{H}_{2}}COOH\]
  done clear
  D)
  \[{{(C{{H}_{3}})}_{2}}CO\] and \[C{{H}_{2}}{{(COOH)}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer140) In the following benzyl/allyl system \[R-CH=C{{H}_{2}}\]      or      [R is alkyl group)             decreasing order of inductive effect is   AIEEE  Solved  Paper-2002
  A)
  \[{{(C{{H}_{3}})}_{3}}C->{{(C{{H}_{3}})}_{2}}CH->C{{H}_{3}}C{{H}_{2}}-\]
  done clear
  B)
  \[C{{H}_{3}}C{{H}_{2}}->{{(C{{H}_{3}})}_{2}}CH->{{(C{{H}_{3}})}_{3}}C-\]
  done clear
  C)
  \[(C{{H}_{3}}){{  }_{2}}CH->C{{H}_{3}}C{{H}_{2}}->{{(C{{H}_{3}})}_{3}}C-\]
  done clear
  D)
  \[(C{{H}_{3}}){{  }_{2}}C->C{{H}_{3}}C{{H}_{2}}->{{(C{{H}_{3}})}_{3}}CH-\]
  done clear
  View Answer play_arrow

• question_answer141) \[PC{{l}_{3}}\] and \[PC{{l}_{5}}\], both exist; \[NC{{l}_{3}}\] exists but \[NC{{l}_{5}}\] does not exist. It is due to   AIEEE  Solved  Paper-2002
  A)
  lower electronegativity of P than N
  done clear
  B)
  lower tendency of N to form covalent bond
  done clear
  C)
  availability of vacant d-obital in P but not in N
  done clear
  D)
  statement is itself incorrect
  done clear
  View Answer play_arrow

• question_answer142) Following types of compounds (as I, II) (I) \[C{{H}_{3}}CH=CHC{{H}_{3}}\] (II) \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  C{{H}_{2}}C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,H-OH\] are studied in terms of isomerism in   AIEEE  Solved  Paper-2002
  A)
  chain isomerism  
  done clear
  B)
  position isomerism            
  done clear
  C)
  conformers           
  done clear
  D)
            stereoisomerism
  done clear
  View Answer play_arrow

• question_answer143) Conductivity (Seimen's S) is directly proportional to area of the vessel and the concentration of the solution in it and is inversely proportional to the length of the vessel, then constant of  proportionality is expressed in   AIEEE  Solved  Paper-2002
  A)
  S m \[mo{{l}^{-1}}\]       
  done clear
  B)
            \[{{S}^{2}}\,{{m}^{2}}\,mo{{l}^{-2}}\]
  done clear
  C)
  S \[{{m}^{2}}\,mo{{l}^{-1}}\]        
  done clear
  D)
            \[{{S}^{2}}\,{{m}^{2}}\,mol\]
  done clear
  View Answer play_arrow

• question_answer144) A heat engine absorbs heat \[{{q}_{1}}\] from a source at temperature \[{{T}_{1}}\] and heat \[{{q}_{2}}\] from a source at temperature \[{{T}_{2}}\]. Work done is found to be \[J({{q}_{1}}+{{q}_{2}})\] This is in accordance with
  A)
  first law of thermodynamics
  done clear
  B)
  second law of thermodynamics
  done clear
  C)
  Joules equivalent law
  done clear
  D)
  None of the above
  done clear
  View Answer play_arrow

• question_answer145) Select the correct statement.   AIEEE  Solved  Paper-2002
  A)
  When a covalent bond is formed, transfer of electrons takes place
  done clear
  B)
  Pure \[{{H}_{2}}O\] does not contain any ion
  done clear
  C)
  A bond is formed when attractive forces overcome repulsive forces
  done clear
  D)
  HF is less polar than \[HBr\]
  done clear
  View Answer play_arrow

• question_answer146) The metallic sodium dissolves in liquid ammonia to form a deep blue coloured solution. The deep blue colour is due to formation of   AIEEE  Solved  Paper-2002
  A)
  solvated electron, \[{{e}^{-}}(N{{H}_{3}})_{x}^{-}\]
  done clear
  B)
  solvated atomic sodium, \[Na{{(N{{H}_{3}})}_{y}}\]
  done clear
  C)
  \[(N{{a}^{+}}+N{{a}^{-}})\]            
  done clear
  D)
            \[NaN{{H}_{2}}+{{H}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer147) Maximum dehydration takes place that of   AIEEE  Solved  Paper-2002
  A)
                              
  done clear
  B)
              
  done clear
  C)
                 
  done clear
  D)
           
  done clear
  View Answer play_arrow

• question_answer148) \[{{S}_{N}}1\] reaction is feasible in   AIEEE  Solved  Paper-2002
  A)
  \[->-\,Cl+KOH\xrightarrow{{}}\]
  done clear
  B)
    \[+KOH\xrightarrow{{}}\]
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer149) Oxidation number of \[Cl\] in \[CaOC{{l}_{2}}\] (bleaching powder) is   AIEEE  Solved  Paper-2002
  A)
  zero, since it contains \[C{{l}_{2}}\]
  done clear
  B)
  -1, since it contains \[C{{l}^{-}}\]
  done clear
  C)
  +1, since it contains \[Cl{{O}^{-}}\]
  done clear
  D)
  +1 and -1 since it contains \[Cl{{O}^{-}}\] and \[C{{l}^{-}}\]
  done clear
  View Answer play_arrow

• question_answer150) Picric acid is   AIEEE  Solved  Paper-2002
  A)
                                 
  done clear
  B)
                  
  done clear
  C)
                     
  done clear
  D)
             
  done clear
  View Answer play_arrow

• question_answer151) If \[\alpha \ne \beta ,\,{{\alpha }^{2}}=5\alpha -3\] and \[{{\beta }^{2}}=5\beta -3\], then the equation having \[\alpha /\beta \] and \[\beta /\alpha \] as its roots, is   AIEEE  Solved  Paper-2002
  A)
  \[3{{x}^{2}}+19x+3=0\]    
  done clear
  B)
  \[3{{x}^{2}}-19x+3=0\]
  done clear
  C)
       \[3{{x}^{2}}-19x-3=0\]           
  done clear
  D)
       \[{{x}^{2}}-16x+1=0\]
  done clear
  View Answer play_arrow

• question_answer152) If \[y={{(x+\sqrt{1+{{x}^{2}}})}^{n}}\] , then \[(1+{{x}^{2}})\frac{{{d}^{2}}y}{d{{x}^{2}}}+\frac{dy}{dx}\] is   AIEEE  Solved  Paper-2002
  A)
                       \[{{n}^{2}}y\]                                    
  done clear
  B)
               \[-{{n}^{2}}y\]                                  
  done clear
  C)
               \[-y\]                                    
  done clear
  D)
                         \[2{{x}^{2}}y\]
  done clear
  View Answer play_arrow

• question_answer153) If 1, \[{{\log }_{3}}\sqrt{({{3}^{1-x}}+2)},\,{{\log }_{3}}\,({{4.3}^{x}}-1)\] are in AP, then x equals   AIEEE  Solved  Paper-2002
  A)
  \[{{\log }_{3}}4\]                 
  done clear
  B)
            \[1-{{\log }_{3}}4\]             
  done clear
  C)
            \[1-{{\log }_{4}}3\]             
  done clear
  D)
            \[{{\log }_{4}}3\]
  done clear
  View Answer play_arrow

• question_answer154) A problem in Mathematics is given to three students A, B, C and their respective probability of solving the problem is \[\frac{1}{2},\frac{1}{3}\] and \[\frac{1}{4}\]. Probability that the problem is solved, is   AIEEE  Solved  Paper-2002
  A)
  3/4            
  done clear
  B)
            1/2                            
  done clear
  C)
  2/3                            
  done clear
  D)
            1/3
  done clear
  View Answer play_arrow

• question_answer155) The period of \[{{\sin }^{2}}\theta \] is   AIEEE  Solved  Paper-2002
  A)
  \[{{\pi }^{2}}\]   
  done clear
  B)
                                           \[\pi \]     
  done clear
  C)
            \[2\pi \]                  
  done clear
  D)
            \[\pi /2\]
  done clear
  View Answer play_arrow

• question_answer156) \[l,\,m,\,n\] are the pth, qth and rth terms of a GP and all positive, then \[\left| \begin{matrix}    \log \,\,l & p & 1  \\    \log \,\,m & q & 1  \\    \log \,\,n & r & 1  \\ \end{matrix} \right|\] equals   AIEEE  Solved  Paper-2002
  A)
  3                                
  done clear
  B)
            2                                
  done clear
  C)
  1                                
  done clear
  D)
            zero
  done clear
  View Answer play_arrow

• question_answer157) \[\underset{x\to 0}{\mathop{\lim }}\,\frac{\sqrt{1-\cos 2x}}{\sqrt{2}x}\] is   AIEEE  Solved  Paper-2002
  A)
  \[\lambda \]
  done clear
  B)
                                            \[-1\]                       
  done clear
  C)
            zero                         
  done clear
  D)
            does not exist
  done clear
  View Answer play_arrow

• question_answer158) A triangle with vertices (4, 0), (-1, -1), (3, 5) is
  A)
  isosceles and right angled
  done clear
  B)
  isosceles but not right angled
  done clear
  C)
  right angled but not isosceles
  done clear
  D)
  neither right angled nor isosceles
  done clear
  View Answer play_arrow

• question_answer159) In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average marks of the girls?   AIEEE  Solved  Paper-2002
  A)
  73
  done clear
  B)
                                            65   
  done clear
  C)
            68                              
  done clear
  D)
            74
  done clear
  View Answer play_arrow

• question_answer160) If \[{{\cot }^{-1}}(\sqrt{\cos \alpha })-{{\tan }^{-1}}(\sqrt{\cos \alpha })=x\], then \[\sin x\] is equal to   AIEEE  Solved  Paper-2002
  A)
  \[{{\tan }^{2}}\left( \frac{\alpha }{2} \right)\]
  done clear
  B)
  \[{{\cot }^{2}}\left( \frac{\alpha }{2} \right)\]        
  done clear
  C)
            \[\tan \alpha \]                   
  done clear
  D)
            \[\cot \left( \frac{\alpha }{2} \right)\]
  done clear
  View Answer play_arrow

• question_answer161) The order and degree of the differential equation \[{{\left( 1+3\frac{dy}{dx} \right)}^{2/3}}\] are   AIEEE  Solved  Paper-2002
  A)
  \[\left( 1,\frac{2}{3} \right)\]
  done clear
  B)
                            (3, 1)        
  done clear
  C)
            (3, 3)  
  done clear
  D)
            (1, 2)
  done clear
  View Answer play_arrow

• question_answer162) A plane which passes through the point (3, 2, 0) and the line \[\frac{x-4}{1}=\frac{y-7}{5}\frac{z-4}{4}\] is   AIEEE  Solved  Paper-2002
  A)
  \[x-y+z=1\] 
  done clear
  B)
  \[x+y+z=5\]          
  done clear
  C)
  \[x+2y-z=1\]   
  done clear
  D)
            \[2x-y+z=5\]
  done clear
  View Answer play_arrow

• question_answer163) The solution of the equation \[\frac{{{d}^{2}}y}{d{{x}^{2}}}={{e}^{-2x}}\] is   AIEEE  Solved  Paper-2002
  A)
       \[\frac{{{e}^{-2x}}}{4}\]                   
  done clear
  B)
                      \[\frac{{{e}^{-2x}}}{4}\,+cx+d\]
  done clear
  C)
  \[\frac{1}{4}{{e}^{-2x}}+c\,{{x}^{2}}+d\]
  done clear
  D)
            \[\frac{1}{4}{{e}^{-2x}}+c\,+d\]
  done clear
  View Answer play_arrow

• question_answer164) \[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{{{x}^{2}}+5x+3}{{{x}^{2}}+x+2} \right)}^{x}}\] is equal to   AIEEE  Solved  Paper-2002
  A)
  \[{{e}^{4}}\]
  done clear
  B)
                                            \[{{e}^{2}}\]                         
  done clear
  C)
  \[{{e}^{3}}\]                         
  done clear
  D)
            e
  done clear
  View Answer play_arrow

• question_answer165) The domain of \[{{\sin }^{-1}}[{{\log }_{3}}(x/3)]\] is   AIEEE  Solved  Paper-2002
  A)
  [1, 9]     
  done clear
  B)
                            [-1, 9]                      
  done clear
  C)
            [-9, 1]                      
  done clear
  D)
            [-9,-1]
  done clear
  View Answer play_arrow

• question_answer166) The value of \[{{2}^{1/4}}.\,{{4}^{1/8}}.\,\,{{8}^{1/16}}.....\,\,\infty \] is   AIEEE  Solved  Paper-2002
  A)
  1  
  done clear
  B)
                                            2    
  done clear
  C)
  3/2                            
  done clear
  D)
  4
  done clear
  View Answer play_arrow

• question_answer167) Fifth term of a GP is 2, then the product of its 9 terms is   AIEEE  Solved  Paper-2002
  A)
  256                           
  done clear
  B)
            512           
  done clear
  C)
            1024                         
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer168) \[\int{{{_{0}}^{10\pi }}}\left| \sin x \right|dx\] is   AIEEE  Solved  Paper-2002
  A)
  20    
  done clear
  B)
            8                                
  done clear
  C)
            10                              
  done clear
  D)
            18
  done clear
  View Answer play_arrow

• question_answer169) \[{{I}_{n}}=\int_{0}^{\pi /4}{{{\tan }^{n}}\,x\,dx,}\] , then    \[\underset{x\to \infty }{\mathop{\lim }}\,n\,[{{I}_{n}}+{{I}_{n+2}}]\] equals   AIEEE  Solved  Paper-2002
  A)
  \[\frac{1}{2}\]     
  done clear
  B)
                                            1  
  done clear
  C)
            \[\infty \]               
  done clear
  D)
                            zero
  done clear
  View Answer play_arrow

• question_answer170) \[\int_{0}^{2}{[{{x}^{2}}]}\,dx\] is   AIEEE  Solved  Paper-2002
  A)
  \[2-\sqrt{2}\]             
  done clear
  B)
            \[2+\sqrt{2}\]      
  done clear
  C)
            \[\sqrt{2}-1\]              
  done clear
  D)
            \[-\sqrt{2}-\sqrt{3}+5\]
  done clear
  View Answer play_arrow

• question_answer171) \[\int{_{-\pi }^{\pi }}\frac{2\pi (1+\sin x)}{1+{{\cos }^{2}}x}dx\] is   AIEEE  Solved  Paper-2002
  A)
  \[\frac{{{\pi }^{2}}}{4}\] 
  done clear
  B)
                            \[{{\pi }^{2}}\]    
  done clear
  C)
            zero                         
  done clear
  D)
            \[\frac{\pi }{2}\]
  done clear
  View Answer play_arrow

• question_answer172) The    period    of   the    function \[f(x)={{\sin }^{4}}x+{{\cos }^{4}}x\] is   AIEEE  Solved  Paper-2002
  A)
  \[\pi \]       
  done clear
  B)
                            \[\frac{\pi }{2}\]
  done clear
  C)
            \[2\pi \]                  
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer173) The domain of definition of the function\[f(x)=\sqrt{{{\log }_{10}}\left( \frac{5x-{{x}^{2}}}{4} \right)}\] is   AIEEE  Solved  Paper-2002
  A)
  [1, 4]         
  done clear
  B)
                            [1, 0]                        
  done clear
  C)
            [0, 5]                        
  done clear
  D)
            [5, 0]
  done clear
  View Answer play_arrow

• question_answer174) If \[\sin y=x\sin (a+y)\], then-,-is   AIEEE  Solved  Paper-2002
  A)
  \[\frac{\sin a}{{{\sin }^{2}}(a+y)}\]
  done clear
  B)
            \[\frac{{{\sin }^{2}}\,(a+y)}{\sin \,\,a}\]   
  done clear
  C)
            \[\sin \,a\,{{\sin }^{2}}(a+y)\]
  done clear
  D)
            \[\frac{{{\sin }^{2}}(a-y)}{\sin a}\]
  done clear
  View Answer play_arrow

• question_answer175) If \[{{x}^{y}}={{e}^{x-y}}\], then \[\frac{dy}{dx}\] is   AIEEE  Solved  Paper-2002
  A)
  \[\frac{1+x}{1+\log x}\]   
  done clear
  B)
                            \[\frac{1-\log x}{{{(1+\log x)}^{2}}}\]         
  done clear
  C)
            not defined       
  done clear
  D)
            \[\frac{\log x}{{{(1+\log x)}^{2}}}\]
  done clear
  View Answer play_arrow

• question_answer176) The two curves \[{{x}^{3}}-3x{{y}^{2}}+2=0\] and \[3\,{{x}^{2}}y-{{y}^{3}}-2=0\]   AIEEE  Solved  Paper-2002
  A)
  cut at right angle 
  done clear
  B)
            touch each other
  done clear
  C)
  cut at an angle \[\frac{\pi }{3}\] 
  done clear
  D)
           cut at an angle \[\frac{\pi }{4}\]
  done clear
  View Answer play_arrow

• question_answer177) The function \[f(x)={{\cot }^{-1}}x+x\] increases in the interval   AIEEE  Solved  Paper-2002
  A)
  \[(1,\infty )\]   
  done clear
  B)
                            \[(-1,\infty )\]      
  done clear
  C)
            \[(-\infty ,\infty )\]        
  done clear
  D)
  \[(0,\infty )\]
  done clear
  View Answer play_arrow

• question_answer178) The greatest value of \[f(x)={{(x+1)}^{1/3}}-{{(x-1)}^{1/3}}\] on [0, 1] is   AIEEE  Solved  Paper-2002
  A)
  1                
  done clear
  B)
                            2  
  done clear
  C)
            3                                                
  done clear
  D)
  1/3
  done clear
  View Answer play_arrow

• question_answer179) Evaluate \[\int{{{_{0}}^{\pi /2}}\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}dx}\]   AIEEE  Solved  Paper-2002
  A)
  \[\frac{\pi }{4}\]    
  done clear
  B)
  \[\frac{\pi }{2}\]                                  
  done clear
  C)
            0                                
  done clear
  D)
            1
  done clear
  View Answer play_arrow

• question_answer180) \[\int{\frac{dx}{x({{x}^{n}}+1)}}\] is equal to   AIEEE  Solved  Paper-2002
  A)
  \[\frac{1}{n}\log \left( \frac{{{x}^{n}}}{{{x}^{n}}+1} \right)+C\]     
  done clear
  B)
  \[\frac{1}{n}\log \left( \frac{{{x}^{n}}+1}{{{x}^{n}}} \right)+C\]
  done clear
  C)
            \[\log \left( \frac{{{x}^{n}}}{{{x}^{n}}+1} \right)+C\]
  done clear
  D)
           None of these
  done clear
  View Answer play_arrow

• question_answer181) The area bounded by the curve \[y=2x-{{x}^{2}}\] and the straight line \[y=-x\] is given by   AIEEE  Solved  Paper-2002
  A)
  \[\frac{9}{2}\] sq units     
  done clear
  B)
            \[\frac{43}{6}\] sq units      
  done clear
  C)
  \[\frac{35}{6}\] sq units       
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer182) The differential equation of all non-vertical lines in a plane is   AIEEE  Solved  Paper-2002
  A)
  \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=0\]              
  done clear
  B)
            \[\frac{{{d}^{2}}x}{d{{y}^{2}}}=0\]              
  done clear
  C)
            \[\frac{dy}{dx}=0\]              
  done clear
  D)
            \[\frac{dx}{dy}=0\]
  done clear
  View Answer play_arrow

• question_answer183) Given two vectors are \[\hat{i}-\hat{j}\] and \[\hat{i}+2\hat{j}\], the unit vector coplanar with the two vectors and perpendicular to first is   AIEEE  Solved  Paper-2002
  A)
  \[\frac{1}{\sqrt{2}}(\hat{i}+\hat{j})\]        
  done clear
  B)
            \[\frac{1}{\sqrt{5}}(2\hat{i}-\hat{j})\]       
  done clear
  C)
            \[\pm \frac{1}{\sqrt{2}}(\hat{i}-\hat{k})\]               
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer184) The vector \[\hat{i}+x\hat{j}+3\hat{k}\] is rotated through an angle \[\theta \] and doubled in magnitude, then it becomes \[4\hat{i}+(4x-2)\hat{j}+2\hat{k}\]. The values of \[x\] are   AIEEE  Solved  Paper-2002
  A)
  \[\left\{ -\frac{2}{3},2 \right\}\]
  done clear
  B)
            \[\left\{ \frac{1}{3},2 \right\}\]     
  done clear
  C)
            \[\left\{ \frac{2}{3},0 \right\}\]     
  done clear
  D)
            \[\left\{ 2,7 \right\}\]
  done clear
  View Answer play_arrow

• question_answer185) A parallelepiped is formed by planes drawn through the points (2, 3, 5) and (5, 9, 7), parallel to the coordinate planes. The length of a diagonal of the parallelopiped is   AIEEE  Solved  Paper-2002
  A)
  7 units      
  done clear
  B)
                            \[\sqrt{38}\] units              
  done clear
  C)
            \[\sqrt{155}\] units        
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer186) The equation of the plane containing the line \[\frac{x-{{x}_{1}}}{l}=\frac{y-{{y}_{1}}}{m}=\frac{z-{{z}_{1}}}{n}\] is \[a(x-{{x}_{1}})+b(y-{{y}_{1}})+c(z-{{z}_{1}})=0\]              where   AIEEE  Solved  Paper-2002
  A)
  \[a{{x}_{1}}+b{{y}_{1}}+c{{z}_{1}}=0\]      
  done clear
  B)
  \[al+bm+cn=0\]
  done clear
  C)
            \[\frac{a}{l}=\frac{b}{m}=\frac{c}{n}\]      
  done clear
  D)
            \[l\,{{x}_{1}}+m{{y}_{1}}+n{{z}_{1}}=0\]
  done clear
  View Answer play_arrow

• question_answer187) A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial, is   AIEEE  Solved  Paper-2002
  A)
  \[\frac{1}{25}\]          
  done clear
  B)
                            \[\frac{24}{25}\]
  done clear
  C)
  \[\frac{2}{25}\]                    
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer188) If A and B are two mutually exclusive events, then   AIEEE  Solved  Paper-2002
  A)
  \[P(A)<P(\overline{B})\]     
  done clear
  B)
           \[P(A)>P(\overline{B})\] 
  done clear
  C)
            \[P(A)<P(B)\]      
  done clear
  D)
           None of these
  done clear
  View Answer play_arrow

• question_answer189) The equation of the directrix of the parabola \[{{y}^{2}}+4y+4x+2=0\] is   AIEEE  Solved  Paper-2002
  A)
  \[x=-1\]   
  done clear
  B)
                                         \[x=1\]
  done clear
  C)
  \[x=-3/2\]              
  done clear
  D)
  \[x=3/2\]
  done clear
  View Answer play_arrow

• question_answer190) Let \[{{T}_{n}}\] denotes the number of triangles which can be formed using the vertices of a regular polygon of n sides. If \[{{T}_{n\,+1}}-{{T}_{n}}=21\], then n equals   AIEEE  Solved  Paper-2002
  A)
  5   
  done clear
  B)
                                            7   
  done clear
  C)
            6                                
  done clear
  D)
            4
  done clear
  View Answer play_arrow

• question_answer191) In a \[\Delta ABC,\,\,2ca\,\sin \,\left( \frac{A-B+C}{2} \right)\] is equal to   AIEEE  Solved  Paper-2002
  A)
  \[{{a}^{2}}+{{b}^{2}}-{{c}^{2}}\]                   
  done clear
  B)
           \[{{c}^{2}}+{{a}^{2}}-{{b}^{2}}\]   
  done clear
  C)
  \[{{b}^{2}}-{{c}^{2}}-{{a}^{2}}\]                    
  done clear
  D)
            \[{{c}^{2}}-{{a}^{2}}-{{b}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer192) For \[x\in R\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{x-3}{x+2} \right)}^{x}}\] is equal to   AIEEE  Solved  Paper-2002
  A)
  e     
  done clear
  B)
                                            \[{{e}^{-1}}\]                        
  done clear
  C)
            \[{{e}^{-5}}\]   
  done clear
  D)
            \[{{e}^{5}}\]
  done clear
  View Answer play_arrow

• question_answer193) The incentre of the triangle with vertices              \[(1,\sqrt{3})\], (0, 0) and (2,0) is   AIEEE  Solved  Paper-2002
  A)
  \[\left( 1,\frac{\sqrt{3}}{2} \right)\]
  done clear
  B)
                           \[\left( \frac{2}{3},\frac{1}{\sqrt{3}} \right)\]         
  done clear
  C)
            \[\left( \frac{2}{3},\frac{\sqrt{3}}{2} \right)\]         
  done clear
  D)
            \[\left( 1,\frac{1}{\sqrt{3}} \right)\]
  done clear
  View Answer play_arrow

• question_answer194) If the vectors a, b and c from the sides BC, CA and AB respectively of a \[\Delta ABC\], then   AIEEE  Solved  Paper-2002
  A)
  \[a.\,b=b.\,c=c.\,b=0\]    
  done clear
  B)
  \[a\times b=b\times c=c\times a\]
  done clear
  C)
  \[a.\,b=b.\,c=c.\,a=0\]
  done clear
  D)
           \[a\times a+a\times c+c\times a=0\]
  done clear
  View Answer play_arrow

• question_answer195) If \[\omega \] is an imaginary cube root of unity, then \[{{(1+\omega -{{\omega }^{2}})}^{7}}\] equals   AIEEE  Solved  Paper-2002
  A)
  \[128\,\omega \]                
  done clear
  B)
            \[-128\,\omega \]              
  done clear
  C)
            \[128\,{{\omega }^{2}}\]
  done clear
  D)
            \[-128\,{{\omega }^{2}}\]
  done clear
  View Answer play_arrow

• question_answer196) If \[\left| \begin{matrix} 6\,i & -3\,i & 1  \\ 4 & 3\,i & -1  \\    20 & 3 & i  \\ \end{matrix} \right|=x+iy\], then   AIEEE  Solved  Paper-2002
  A)
  \[x=3,\,y=1\]
  done clear
  B)
                            \[x=1,\,y=3\]        
  done clear
  C)
            \[x=0,\,y=3\]        
  done clear
  D)
            \[x=0,\,y=0\]
  done clear
  View Answer play_arrow

• question_answer197) \[{{\sin }^{2}}\theta =\frac{4xy}{{{(x+y)}^{2}}}\] is true if and only if   AIEEE  Solved  Paper-2002
  A)
  \[x-y\ne 0\]          
  done clear
  B)
            \[x=-y\]  
  done clear
  C)
            \[x=y\]                    
  done clear
  D)
            \[x\ne 0,y\ne 0\]
  done clear
  View Answer play_arrow

• question_answer198) The radius of the circle passing through the foci of the ellipse \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{9}\] and having its centre at (0, 3), is
  A)
  4 units
  done clear
  B)
            3 units     
  done clear
  C)
            \[\sqrt{12}\] units              
  done clear
  D)
            \[\frac{7}{2}\] units
  done clear
  View Answer play_arrow

• question_answer199) The probability of India winning a test match against West-Indies is \[1/2\] assuming independence from match to match. The probability that in a match series India's second win occurs at the third test is
  A)
  \[1/8\]                    
  done clear
  B)
  \[1/4\]
  done clear
  C)
  \[1/2\]   
  done clear
  D)
            \[2/3\]
  done clear
  View Answer play_arrow

• question_answer200) If \[(\omega \ne 1)\] is a cubic root of unity, then \[\left| \begin{matrix}    1 & 1+i+{{\omega }^{2}} & {{\omega }^{2}}  \\    1-i & -1 & {{\omega }^{2}}-1  \\    -i & -1+\omega -i & -1  \\ \end{matrix} \right|\] equals   AIEEE  Solved  Paper-2002
  A)
  0                
  done clear
  B)
            1                                
  done clear
  C)
            \[i\]                          
  done clear
  D)
            \[\omega \]
  done clear
  View Answer play_arrow

• question_answer201) A biased coin with probability \[p,0<p<1\], of heads is tossed until a head appears for the first time. If the probability that the number of tosses required is even, is \[2/5\], then p equals   AIEEE  Solved  Paper-2002
  A)
  \[1/3\]
  done clear
  B)
                            \[2/3\]                    
  done clear
  C)
            \[2/5\]    
  done clear
  D)
            \[3/5\]
  done clear
  View Answer play_arrow

• question_answer202) A fair die is tossed eight times. The probability that a third six is observed on the eighth throw, is   AIEEE  Solved  Paper-2002
  A)
  \[\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{7}}}\]           
  done clear
  B)
  \[\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{8}}}\]
  done clear
  C)
  \[\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{6}}}\]          
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer203) Let \[f(2)=4\] and \[f'\,(2)=4\]. Then,\[\underset{x\to 2}{\mathop{\lim }}\,\frac{xf(2)-2f(x)}{x-2}\] is given by   AIEEE  Solved  Paper-2002
  A)
  2                                                             
  done clear
  B)
  \[-2\]       
  done clear
  C)
                            \[-4\]       
  done clear
  D)
                         3
  done clear
  View Answer play_arrow

• question_answer204) Three   straight   lines   \[2x+11y-5=0\], \[24x+7y-20=0\] and \[4x-3y-2=0\]   AIEEE  Solved  Paper-2002
  A)
  form a triangle
  done clear
  B)
  are only concurrent
  done clear
  C)
  are concurrent with one line bisecting the angle between the other two
  done clear
  D)
  None of the above
  done clear
  View Answer play_arrow

• question_answer205) A straight line through the point (2, 2) intersects   the   lines   \[\sqrt{3}x+y=0\]   and \[\sqrt{3}x-y=0\] at the points A and B. The equation to the line AB so that the \[\Delta OAB\] is equilateral, is   AIEEE  Solved  Paper-2002
  A)
  \[x-2=0\]                                
  done clear
  B)
  \[y-2=0\]
  done clear
  C)
            \[x+y-4=0\]    
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer206) The greatest distance of the point P(10,7) from the circle \[{{x}^{2}}+{{y}^{2}}-4x-2y-20=0\] is   AIEEE  Solved  Paper-2002
  A)
  10 units       
  done clear
  B)
            15 units
  done clear
  C)
            5 units                     
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer207) The equation of the tangent to the circle \[{{x}^{2}}+{{y}^{2}}+4x-4y+4=0\] which make equal intercepts on the positive coordinate axes, is   AIEEE  Solved  Paper-2002
  A)
  \[x+y=2\]    
  done clear
  B)
                            \[x+y=2\sqrt{2}\]               
  done clear
  C)
  \[x+y=4\]               
  done clear
  D)
            \[x+y=8\]
  done clear
  View Answer play_arrow

• question_answer208) The equation of the ellipse whose foci are \[(\pm \,2,0)\] and eccentricity is \[1/2\], is AIEEE  Solved  Paper-2002
  A)
  \[\frac{{{x}^{2}}}{12}+\frac{{{y}^{2}}}{16}=1\]                       
  done clear
  B)
  \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{12}=1\]       
  done clear
  C)
            \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{8}=1\]      
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer209) The equation of the chord joining two points \[({{x}_{1}},{{y}_{1}})\] and \[({{x}_{2}},{{y}_{2}})\] on the rectangular hyperbola \[xy={{c}^{2}}\]is   AIEEE  Solved  Paper-2002
  A)
  \[\frac{x}{{{x}_{1}}+{{x}_{2}}}+\frac{y}{{{y}_{1}}+{{y}_{2}}}=1\]   
  done clear
  B)
  \[\frac{x}{{{x}_{1}}-{{x}_{2}}}+\frac{y}{{{y}_{1}}-{{y}_{2}}}=1\]
  done clear
  C)
  \[\frac{x}{{{y}_{1}}+{{y}_{2}}}+\frac{y}{{{x}_{1}}+{{x}_{2}}}=1\]
  done clear
  D)
  \[\frac{x}{{{y}_{1}}-{{y}_{2}}}+\frac{y}{{{x}_{1}}-{{x}_{2}}}=1\]
  done clear
  View Answer play_arrow

• question_answer210) If the vectors \[c,a=x\,\hat{i}+y\hat{j}+z\hat{k}\] and \[b=\hat{j}\] are such that a, c and b form a right handed system, then c is   AIEEE  Solved  Paper-2002
  A)
  \[z\hat{i}-x\hat{k}\]      
  done clear
  B)
                            0                
  done clear
  C)
            \[y\,\hat{i}\]                        
  done clear
  D)
            \[-z\,\hat{i}+x\,\hat{k}\]
  done clear
  View Answer play_arrow

• question_answer211) The centre of the circle given by \[r.\,(\hat{i}+2\hat{j}+2\hat{k})=15\] and \[\left| r-(\hat{j}+2\hat{k} \right|=4\]is
  A)
  (0, 1, 2)                        
  done clear
  B)
                 (1, 3, 4)        
  done clear
  C)
  (-1, 3, 4)                  
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer212) The value of \[\frac{1-{{\tan }^{2}}{{15}^{o}}}{1+{{\tan }^{2}}{{15}^{o}}}\] is   AIEEE  Solved  Paper-2002
  A)
  1                
  done clear
  B)
                            \[\sqrt{3}\]                                           
  done clear
  C)
               \[\frac{\sqrt{3}}{2}\]   
  done clear
  D)
                         2
  done clear
  View Answer play_arrow

• question_answer213) If \[\tan \theta =-\frac{4}{3}\] then sine is   AIEEE  Solved  Paper-2002
  A)
  \[-\frac{4}{5}\] but not \[\frac{4}{5}\]    
  done clear
  B)
            \[-\frac{4}{5}\] or \[\frac{4}{5}\]
  done clear
  C)
            \[\frac{4}{5}\] but not \[-\frac{4}{5}\]  
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer214) If \[\sin (\alpha +\beta )=1,\,\,\sin (\alpha -\beta )=\frac{1}{2}\] then \[\tan \,(a+2\beta )\tan \,(2\alpha +\beta )\] is equal to   AIEEE  Solved  Paper-2002
  A)
  1   
  done clear
  B)
  - 1             
  done clear
  C)
  zero                         
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer215) If \[y={{\sin }^{2}}\theta +\cos e{{c}^{2}}\theta ,\,\,\theta \ne 0\], then   AIEEE  Solved  Paper-2002
  A)
  \[y=0\]    
  done clear
  B)
                            \[y\le 2\]                                
  done clear
  C)
            \[y\ge -2\]             
  done clear
  D)
            \[y\ge 2\]  
  done clear
  View Answer play_arrow

• question_answer216) In a \[\Delta ABC\], \[a=4,\,b=3,\,\,\angle A={{60}^{o}}\], then c is the root of the equation   AIEEE  Solved  Paper-2002
  A)
  \[{{c}^{2}}-3c-7=0\]  
  done clear
  B)
  \[{{c}^{2}}+3c+7=0\]
  done clear
  C)
            \[{{c}^{2}}-3c+7=0\]   
  done clear
  D)
            \[{{c}^{2}}+3c-7=0\]
  done clear
  View Answer play_arrow

• question_answer217) In a \[\Delta ABC,\,\tan \frac{A}{2}=\frac{5}{6},\tan \frac{C}{2}=\frac{2}{5}\], then   AIEEE  Solved  Paper-2002
  A)
  a, c, b are in AP   
  done clear
  B)
            a, b, c are in AP
  done clear
  C)
            b, a, c are in AP  
  done clear
  D)
           a, b, care in GP
  done clear
  View Answer play_arrow

• question_answer218) The equation   \[a\sin x+b\cos x=c\], where \[\left| c \right|>\sqrt{{{a}^{2}}+{{b}^{2}}}\] has   AIEEE  Solved  Paper-2002
  A)
  a unique solution
  done clear
  B)
  infinite number of solutions
  done clear
  C)
  no solution
  done clear
  D)
  None of the above
  done clear
  View Answer play_arrow

• question_answer219) If \[\alpha \] is a root of \[25{{\cos }^{2}}\theta +5\cos \theta -12=0\frac{\pi }{2}<a<\pi \], then \[\sin 2\alpha \] is equal to   AIEEE  Solved  Paper-2002
  A)
  \[\frac{24}{25}\] 
  done clear
  B)
                            \[-\frac{24}{25}\]
  done clear
  C)
            \[\frac{13}{18}\]                 
  done clear
  D)
            \[-\frac{13}{18}\]
  done clear
  View Answer play_arrow

• question_answer220) \[{{\tan }^{-1}}\left( \frac{1}{4} \right)+{{\tan }^{-1}}\left( \frac{2}{9} \right)\] is equal to   AIEEE  Solved  Paper-2002
  A)
  \[\frac{1}{2}{{\cos }^{-1}}\left( \frac{3}{5} \right)\]             
  done clear
  B)
  \[\frac{1}{2}{{\sin }^{-1}}\left( \frac{3}{5} \right)\]              
  done clear
  C)
  \[\frac{1}{2}{{\tan }^{-1}}\left( \frac{3}{5} \right)\]     
  done clear
  D)
  \[{{\tan }^{-1}}\left( \frac{1}{2} \right)\]
  done clear
  View Answer play_arrow

• question_answer221) \[\sum\limits_{n=0}^{\infty }{\frac{{{({{\log }_{e}}x)}^{n}}}{n!}}\] is equal to   AIEEE  Solved  Paper-2002
  A)
                                          \[{{\log }_{e}}x\] 
  done clear
  B)
                                            \[x\]         
  done clear
  C)
            \[{{\log }_{x}}e\]                
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer222) \[{{x}^{(x-1)-\frac{1}{2}{{(x-1)}^{2}}+\frac{{{(x-1)}^{3}}}{3}-\frac{{{(x-1)}^{4}}}{4}+....}}\] is equal to   AIEEE  Solved  Paper-2002
  A)
  \[\log \,(x-1)\]                     
  done clear
  B)
  \[\log \,\,x\]                         
  done clear
  C)
  \[x\]      
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer223) The     coefficient    of    \[{{x}^{5}}\]  in \[{{(1+2x+3{{x}^{2}}+....)}^{-3/2}}\] is   AIEEE  Solved  Paper-2002
  A)
                                          21                              
  done clear
  B)
            25                              
  done clear
  C)
            26                              
  done clear
  D)
            None of these
  done clear
  View Answer play_arrow

• question_answer224) If \[\left| x \right|<1\], then the coefficient of \[{{x}^{n}}\] in expansion of \[{{(1+x+{{x}^{2}}+{{x}^{3}}+....)}^{2}}\] is   AIEEE  Solved  Paper-2002
  A)
  n                                
  done clear
  B)
            \[n-1\]                    
  done clear
  C)
            \[n+2\]                   
  done clear
  D)
            \[n+1\]
  done clear
  View Answer play_arrow

• question_answer225) The number of real roots of \[{{3}^{2{{x}^{2}}-7x+7}}=9\] is   AIEEE  Solved  Paper-2002
  A)
  zero         
  done clear
  B)
            2      
  done clear
  C)
            1                                
  done clear
  D)
            4
  done clear
  View Answer play_arrow