Solved papers for J & K CET Engineering J and K - CET Engineering Solved Paper-2003

done J and K - CET Engineering Solved Paper-2003 Total Questions - 225

• question_answer1) The following is the truth table for

  A	B	Y
  0	0	1
  1	0	1
  0	1	1
  1	1	0

  A)
   NAND      
  done clear
  B)
   AND
  done clear
  C)
   XOR       
  done clear
  D)
   NOT
  done clear
  View Answer play_arrow

• question_answer2) In a full wave rectifier circuit operating from \[50\text{ }Hz\]main frequency, the fundamental frequency in the ripple would be
  A)
   \[\text{25 }Hz\]
  done clear
  B)
   \[50\text{ }Hz\]
  done clear
  C)
   \[70.7\text{ }Hz\]
  done clear
  D)
   \[100\text{ }Hz\]
  done clear
  View Answer play_arrow

• question_answer3) The current gain a of a transistor is 0.9. The transistor is connected to common base configuration. What would be the change in collector current when base current changes by \[4mA\]?
  A)
   \[1.2\,\,mA\]      
  done clear
  B)
   \[12\,\,mA\]
  done clear
  C)
   \[24\,\,mA\]      
  done clear
  D)
   \[36\,\,mA\]
  done clear
  View Answer play_arrow

• question_answer4) What is the name of the level formed due to impurity atom in p-type in the forbidden gap?
  A)
   Donor level
  done clear
  B)
   Acceptor level
  done clear
  C)
   Conduction level
  done clear
  D)
   Forbidden level
  done clear
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• question_answer5) Which of the following is not true?
  A)
   All unit cells are primitive
  done clear
  B)
   FCC structure is a closed packed structure
  done clear
  C)
   A unit cell is primitive if it contains lattice points only at its corner
  done clear
  D)
   A lattice does not contain any atom or molecule
  done clear
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• question_answer6) A radioactive element A decays into B with a half-life of 2 days. A fresh prepared sample of A has a mass of \[12\text{ }g\]. What mass of A and B are there in the sample after 4 days?
  A)
   \[~A=3g,B=9g\]
  done clear
  B)
   \[A=6g,B=6g\]
  done clear
  C)
   \[A=12g,B=0g\]
  done clear
  D)
   \[A=9g,B=3g\]
  done clear
  View Answer play_arrow

• question_answer7)  How many \[\alpha \]-particle and \[\beta \]-particles are emitted when uranium nucleus \[_{92}^{238}U\] decays to lead nucleus \[_{82}^{206}Pb\]?
  A)
   \[\alpha =6,\beta =8\]  
  done clear
  B)
   \[\alpha =10,\beta =8\]
  done clear
  C)
   \[\alpha =8,\beta =10\]
  done clear
  D)
   \[\alpha =8,\beta =6\]
  done clear
  View Answer play_arrow

• question_answer8) The angular speed of the electric in the nth orbit of Bohr hydrogen atom is
  A)
   directly proportional to n
  done clear
  B)
   inversely proportional to \[\sqrt{n}\]
  done clear
  C)
   inversely proportional to \[{{n}^{2}}\]
  done clear
  D)
   inversely proportional to \[{{n}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer9) If the electron in hydrogen atom jumps from the third to second orbit, the wavelength of the emitted radiation in terms of Rydberg constant R is given by
  A)
   \[\lambda =\frac{36}{5R}\]
  done clear
  B)
   \[\lambda =\frac{5R}{36}\]
  done clear
  C)
   \[\lambda =\frac{5}{R}\]
  done clear
  D)
   \[\lambda =\frac{R}{6}\]
  done clear
  View Answer play_arrow

• question_answer10) When a monochromatic point source of light is at a distance of \[0.2\text{ }m\]from a photocell, the cut-off voltage and the saturation current are respectively \[{{\text{V}}_{0}}=0.6\]volt and\[{{I}_{s}}=18.0\,mA\]. If the same source is placed 0.6 m away from the photocell, then
  A)
   stopping  potential \[{{V}_{0}}\text{=}0.2\]volt  and saturation current \[{{I}_{s}}=18.0\text{ }mA\]
  done clear
  B)
   stopping potential  \[{{V}_{0}}=0.6\]volt and saturation current \[{{I}_{s}}=18.0\text{ }mA\]
  done clear
  C)
   stopping potential \[{{V}_{0}}=0.6\] volt  and saturation current \[{{I}_{s}}=2.0\,mA\]
  done clear
  D)
   stopping potential \[{{V}_{0}}=2.0\] volt and saturation current \[{{I}_{s}}=2.0\,mA\]
  done clear
  View Answer play_arrow

• question_answer11) When  light  of wavelength  \[300~nm\](nanometer) falls on a photoelectric emitter, photoelectrons are just liberated. For another emitter, however, light of \[600\text{ }nm\]wavelength is sufficient for creating photoemission. What is the ratio of the work function of the two emitters?
  A)
   \[1:2\]        
  done clear
  B)
   \[2:1\]
  done clear
  C)
   \[4:1\]       
  done clear
  D)
   \[1:4\]
  done clear
  View Answer play_arrow

• question_answer12) In Millikan's oil drop experiment, a charged drop of mass \[1.8\times {{10}^{-14}}\text{ }kg\] is stationary between the plates. The distance between the plates \[0.9\text{ }cm\]and potential difference between the plates is\[2000\text{ }V\]. The number of electons on the oil drop is
  A)
   \[10\]           
  done clear
  B)
   \[5\]
  done clear
  C)
   \[50\]
  done clear
  D)
   \[20\]
  done clear
  View Answer play_arrow

• question_answer13) In the experiment for the determination of \[\frac{e}{m}\]of electrons by the Thomson method, electric and magnetic fields are
  A)
   parallel and both are perpendicular to the motion of the electron
  done clear
  B)
   both mutually perpendicular and parallel to the motion of electron
  done clear
  C)
   both mutually perpendicular and also perpendicular to the motion of electron
  done clear
  D)
   both mutually perpendicular and have no relation with motion of the electron
  done clear
  View Answer play_arrow

• question_answer14) Blue colour of sky is due to
  A)
   interference
  done clear
  B)
   scattering of light
  done clear
  C)
   dispersion of light
  done clear
  D)
   sun emits more of blue light
  done clear
  View Answer play_arrow

• question_answer15) In Young's double slit experiment distance between source is 1 mm and distance between the screen and source is 1 m. If the fringe width on the screen is 0.06 cm, then K is
  A)
   \[6000\text{ }\overset{\text{o}}{\mathop{\text{A}}}\,\]      
  done clear
  B)
   \[4000\text{ }\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
  C)
   \[1200\text{ }\overset{\text{o}}{\mathop{\text{A}}}\,\]      
  done clear
  D)
   \[2400\text{ }\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
  View Answer play_arrow

• question_answer16) Angle of minimum deviation for a prism of refractive index \[1.5\] is equal to the angle of the prism. The angle of the prism is (given \[\cos \,{{41}^{o}}-24'-36''=0.75\])
  A)
   \[{{82}^{o}}-49'-12''\]    
  done clear
  B)
   \[{{72}^{o}}-48'-30''\]
  done clear
  C)
   \[{{41}^{o}}-24'-36''\]
  done clear
  D)
   \[{{31}^{o}}-49'-30''\]
  done clear
  View Answer play_arrow

• question_answer17) Two media having speeds of light \[2\times {{10}^{8}}\text{ }m/s\] and \[2.4\times {{10}^{8}}\text{ }m/s,\] are separated by a plane surface. What is the critical angle for a ray going from medium I to medium II ?
  A)
   \[{{\sin }^{-1}}\left( \frac{5}{6} \right)\]
  done clear
  B)
   \[{{\sin }^{-1}}\left( \frac{5}{12} \right)\]
  done clear
  C)
   \[{{\sin }^{-1}}\left( \frac{1}{\sqrt{2}} \right)\]
  done clear
  D)
   \[{{\sin }^{-1}}\left( \frac{1}{2} \right)\]
  done clear
  View Answer play_arrow

• question_answer18) When sunlight is incident son a prism, it produces a spectrum due to
  A)
   interference of light
  done clear
  B)
   diffraction of light
  done clear
  C)
   total internal reflection
  done clear
  D)
   variation in speeds of different colours of light in the prism
  done clear
  View Answer play_arrow

• question_answer19) The transverse nature of light is shown by
  A)
   interference of light
  done clear
  B)
   diffraction of light
  done clear
  C)
   polarization
  done clear
  D)
   radiation spectrum of black body
  done clear
  View Answer play_arrow

• question_answer20) An electromagnetic radiation of wavelength \[\lambda ,\] frequency v and propagating in air with velocity v is incident on a glass plate and is transmitted through. Which of the following statement is true for the wave inside the glass plate?
  A)
   The velocity v remains unchanged but \[\lambda \]changes
  done clear
  B)
   The frequency v and wavelength remain unchanged but v changes
  done clear
  C)
   The wavelength \[\lambda \] remains unchanged but velocity v changes
  done clear
  D)
   The frequency v remains unchanged but \[\lambda \]changes
  done clear
  View Answer play_arrow

• question_answer21) The oscillating electric and magnetic vectors of an electromagnetic wave in vacuum are oriented along
  A)
   the same direction but differ in phase by \[{{90}^{o}}\]
  done clear
  B)
   the same direction and are in phase
  done clear
  C)
   mutually perpendicular directions and differ in phase by \[{{90}^{o}}\]
  done clear
  D)
   mutually perpendicular directions and are in phase
  done clear
  View Answer play_arrow

• question_answer22) In an AC circuit the instantaneous values of emf and current are \[e=200\text{ }sin\text{ }300\,t\text{ }volt\] and  \[i=2\,\sin \left( 300t+\frac{\pi }{3} \right)amp\] the average power consumed in watts is
  A)
   \[200\]         
  done clear
  B)
   \[100\]
  done clear
  C)
   \[50\]          
  done clear
  D)
   \[400\]
  done clear
  View Answer play_arrow

• question_answer23) A transformer is used to light a 140 W, \[24\text{ }V\] lamp from \[240\text{ }VAC\]mains. The current in the mains cable of \[0.7\text{ }A\]. The efficiency of the transformer is
  A)
   \[48%\]        
  done clear
  B)
   \[63.8%\]
  done clear
  C)
   \[83.3%~\]
  done clear
  D)
   \[90%\]
  done clear
  View Answer play_arrow

• question_answer24) A solenoid has 2000 turns wound over a length of \[0.30\text{ }m\]. The area of its cross-section is \[1.2\times {{10}^{-3}}{{m}^{2}}\]. Around its central section a coil of 300 turns is wound. If an initial current of 2 A in the solenoid is reversed in \[0.25\text{ }s,\] the emf induced in the coil is
  A)
   \[48\text{ }V\]         
  done clear
  B)
   \[4.8\text{ }V\]
  done clear
  C)
   \[4.8\times {{10}^{-1}}\,V\]  
  done clear
  D)
   \[4.8\times {{10}^{-2}}\,V\]
  done clear
  View Answer play_arrow

• question_answer25) A copper ring is held horizontally and a bar magnet with its length along the axis of the ring is dropped through the ring. The acceleration of the falling magnet is
  A)
   less than that due to gravity
  done clear
  B)
   equal to that due to gravity
  done clear
  C)
   more than that due to gravity
  done clear
  D)
   depends on the length of the magnet and diameter of the ring
  done clear
  View Answer play_arrow

• question_answer26) The dimensional formula of Planck's constant (h) is
  A)
   \[[M{{L}^{-2}}{{T}^{-3}}]\]    
  done clear
  B)
   \[[M{{L}^{2}}{{T}^{-1}}]\]
  done clear
  C)
   \[[ML{{T}^{-2}}]\] 
  done clear
  D)
   \[[M{{L}^{-2}}{{T}^{-1}}]\]
  done clear
  View Answer play_arrow

• question_answer27) A particle starts from rest and experiences constant acceleration for 6 s. If it travels a distance d-^ in the first two seconds, a distance  \[{{d}_{2}}\] in the next two seconds and a distance \[{{d}_{3}}\] in the last two seconds, then
  A)
   \[{{d}_{1}}:{{d}_{2}}:{{d}_{3}}=1:1:1\]
  done clear
  B)
   \[{{d}_{1}}:{{d}_{2}}:{{d}_{3}}=1:2:3\]
  done clear
  C)
   \[{{d}_{1}}:{{d}_{2}}:{{d}_{3}}=1:3:5\]
  done clear
  D)
   \[{{d}_{1}}:{{d}_{2}}:{{d}_{3}}=1:5:9\]
  done clear
  View Answer play_arrow

• question_answer28) A particle originally at rest at the highest point of a smooth circle in a vertical plane, is gently pushed and starts sliding/along the circle. It will leave the circle at a' vertical distance h. below the highest point such that             
  A)
   \[h=2R\]
  done clear
  B)
   \[h=\frac{R}{2}\]
  done clear
  C)
   \[h=R\]
  done clear
  D)
   \[h=\frac{R}{3}\]
  done clear
  View Answer play_arrow

• question_answer29) An inclined plane has an inclination \[\theta \] with horizontal. A body of mass m rests on it. If the coefficient of friction between the body and the plane is \[\mu ,\] then the minimum force that needs to be applied parallel to the inclined plane is
  A)
   \[mg\,\,\sin \,\theta \]
  done clear
  B)
   \[\mu mg\,\,\cos \,\theta \]
  done clear
  C)
   \[\mu mg\,\,\cos \,\theta +mg\,\,\sin \,\theta \]
  done clear
  D)
   \[\mu mg\,\,\cos \,\theta -mg\,\,\sin \,\theta \]
  done clear
  View Answer play_arrow

• question_answer30) A \[60\text{ }kg\]man stands on a spring scale in a lift. At some instant he finds that the scale reading has changed from \[60\text{ }kg\] to \[50\text{ }kg\] for a while and then comes again to \[60\text{ }kg\] mark. What should he conclude?
  A)
   The lift was in constant motion upwards
  done clear
  B)
   The lift was in constant motion downwards
  done clear
  C)
   The lift while in motion suddenly stopped
  done clear
  D)
   The lift while in motion upwards suddenly' stopped
  done clear
  View Answer play_arrow

• question_answer31) A diatomic molecule is formed by two atoms which may be treated as mass points \[{{m}_{1}}\] and \[{{m}_{2}},\] joined by a massless rod of length r. Then the moment of inertia of the molecule about an axis passing through the centre of mass and perpendicular to rod is
  A)
   zero         
  done clear
  B)
   \[({{m}_{1}}+{{m}_{2}}){{r}^{2}}\]
  done clear
  C)
   \[\left( \frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{1}}{{m}_{2}}} \right){{r}^{2}}\]
  done clear
  D)
   \[\left( \frac{{{m}_{1}}{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right){{r}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer32) If the polar ice caps of earth melt, how long it affect the length of day?
  A)
   Length of day would remain unchanged
  done clear
  B)
   Length of day would increase
  done clear
  C)
   Length of day would decrease
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer33) A planet revolves in an elliptical orbit around the sun. The semi-major and semi-minor axes are a and b, their the period is given by
  A)
   \[{{T}^{2}}\propto {{b}^{3}}\]
  done clear
  B)
   \[{{T}^{2}}\propto {{\left( \frac{a+b}{2} \right)}^{3}}\]
  done clear
  C)
   \[{{T}^{2}}\propto {{a}^{3}}\]
  done clear
  D)
   \[{{T}^{2}}\propto {{\left( \frac{a-b}{2} \right)}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer34) In a capillary tube of which the lower end dips in a liquid, the liquid rises to a height of\[10\text{ }cm\]If a capillary of the same bore is taken, whose length is 5 cm and dipped in liquid, then
  A)
   a fountain of liquid will be obtain
  done clear
  B)
   the liquid will not rise in the tube at all
  done clear
  C)
   the liquid will rise upto the top and slowly ooze out of it
  done clear
  D)
   the liquid will rise to the top and will stay there
  done clear
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• question_answer35) There relation between Y (Young's modulus), K (bulk modulus) and \[\eta \] (shear modulus) is
  A)
   \[\frac{9}{Y}=\frac{1}{K}+\frac{3}{\eta }\]
  done clear
  B)
   \[\frac{1}{Y}=\frac{1}{3\lambda }+\frac{1}{9K}\]
  done clear
  C)
   \[\frac{9}{Y}=\frac{1}{\eta }+\frac{3}{K}\]
  done clear
  D)
   \[\frac{1}{\eta }=\frac{1}{K}+\frac{1}{Y}\]
  done clear
  View Answer play_arrow

• question_answer36) Solar radiation emitted by sun correspond to that emitted by black body at a temperature of \[6000\text{ }K\]. Maximum intensity is emitted at wavelength of\[4800\text{ }\overset{\text{o}}{\mathop{\text{A}}}\,\]. If the sun was to cool down from \[6000\text{ }K\]to \[3000\text{ }K,\] then the peak intensity of emitted radiation would occur at a wavelength
  A)
   \[4800\overset{\text{o}}{\mathop{\text{A}}}\,\]      
  done clear
  B)
   \[9600\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
  C)
   \[2400\overset{\text{o}}{\mathop{\text{A}}}\,\]      
  done clear
  D)
   \[19200\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
  View Answer play_arrow

• question_answer37) An ideal gas heat engine operates in a Carnot cycle between \[{{227}^{o}}C\]and\[{{127}^{o}}C\]. It absorbs \[6\times {{10}^{4}}cal\] at the higher temperature. The amount of heat converted into work is
  A)
   \[4.8\times {{10}^{4}}\text{ }cal\] 
  done clear
  B)
   \[1.2\times {{10}^{4}}\text{ }cal\]
  done clear
  C)
   \[3.5\times {{10}^{4}}\text{ }cal\] 
  done clear
  D)
   \[1.6\times {{10}^{4}}\text{ }cal\]
  done clear
  View Answer play_arrow

• question_answer38) A certain mass of gas at NTP is expanded to three times its volume under adiabatic conditions. The resulting temperature of gas ,' will be (7 for gas is \[1.40\])
  A)
   \[273\times {{\left( \frac{1}{3} \right)}^{1.4}}\]
  done clear
  B)
   \[273\times {{(3)}^{0.4}}\]
  done clear
  C)
   \[273\times {{\left( \frac{1}{3} \right)}^{0.4}}\]
  done clear
  D)
   \[273\times {{(3)}^{1.4}}\]
  done clear
  View Answer play_arrow

• question_answer39) If for a gas \[\frac{R}{{{C}_{V}}}=0.67,\] this gas is made up of molecules which "are
  A)
   monoatomic
  done clear
  B)
   diatomic
  done clear
  C)
   polyatomic
  done clear
  D)
   mixture of diatomic and polyatomic molecules
  done clear
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• question_answer40) The velocity of a small ball of mass M and density \[{{d}_{1}}\] when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is \[{{d}_{2}},\] the viscous force acting on the ball is
  A)
   \[Mg\left( 1-\frac{{{d}_{2}}}{{{d}_{1}}} \right)\]
  done clear
  B)
   \[Mg\frac{{{d}_{1}}}{{{d}_{2}}}\]
  done clear
  C)
   \[Mg({{d}_{1}}-{{d}_{2}})\]
  done clear
  D)
   \[Mg{{d}_{1}}{{d}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer41) The length of an elastic spring is a meters when a force of \[4\text{ }N\]is applied, and b meters when the \[\text{5 }N\] force is applied. Then the length of the spring when the \[9N\] force is applied is
  A)
   \[a+b\]         
  done clear
  B)
   \[~9b-9a\]
  done clear
  C)
   \[5b-4a\]       
  done clear
  D)
   \[4a-5b\]
  done clear
  View Answer play_arrow

• question_answer42) Moment of inertia of a uniform disc about a diameter is I. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be
  A)
   \[5I\]            
  done clear
  B)
   \[3I\]
  done clear
  C)
   \[4I\]           
  done clear
  D)
   \[6I\]
  done clear
  View Answer play_arrow

• question_answer43) The escape velocity of a body from the surface of earth is \[11.2\text{ }km/s\]. It is thrown up with a velocity 4 times this velocity of escape. The velocity of the body when it has escaped the gravitational pull of earth (neglecting presence of all other heavenly bodies) is
  A)
    \[4\times 11.2\text{ }km/s\]
  done clear
  B)
   \[\sqrt{15}\times 11.2\text{ }km/s\]
  done clear
  C)
   zero
  done clear
  D)
   \[3\times 11.2\text{ }km/s\]
  done clear
  View Answer play_arrow

• question_answer44) If a planet of given density were made larger (keeping its density unchanged) its force of attraction for an object on its surface would increase because of increased mass of the planet but would decrease because of larger separation between the centre of the planet and its surface. Which effect would dominate?
  A)
   Increase in mass
  done clear
  B)
   Increase in radius
  done clear
  C)
   Both affect the attraction equally
  done clear
  D)
   None of the above                     
  done clear
  View Answer play_arrow

• question_answer45) Two balls each of mass m are placed on the vertices A and B of an equilateral triangle ABC of side\[1\text{ }m\]. A ball of mass \[2m\] is placed at vertex C. The centre of mass of this system from vertex A (located at origin) is
  A)
   \[\left( \frac{1}{2}m,\,\frac{1}{2}m \right)\]
  done clear
  B)
   \[\left( \frac{1}{2}m,\sqrt{3}m \right)\]
  done clear
  C)
   \[\left( \frac{1}{2}m,\frac{\sqrt{3}}{4}m \right)\]
  done clear
  D)
   \[\left( \frac{\sqrt{3}}{4}m,\frac{\sqrt{3}}{4}m \right)\]
  done clear
  View Answer play_arrow

• question_answer46) A particle moves along the x-axis from \[x={{x}_{1}}\] to \[x={{x}_{2}}\] under the action of a force given by\[F=2\text{ }x\]. Then the work done in the process is
  A)
   zero         
  done clear
  B)
   \[{{x}_{2}}^{2}-{{x}_{1}}^{2}\]
  done clear
  C)
   \[2{{x}_{2}}({{x}_{2}}-{{x}_{1}})\]
  done clear
  D)
   \[2{{x}_{1}}({{x}_{1}}-{{x}_{2}})\]
  done clear
  View Answer play_arrow

• question_answer47) A body of mass 5 kg strikes another body of mass \[2.5\text{ }kg\]initially at rest. The bodies after collision coalesce and begin to move as whole with a kinetic energy of\[5\text{ }J\]. The kinetic energy of the first body before collision is
  A)
   \[7.5\text{ }J\]         
  done clear
  B)
   \[5\text{ }J\]
  done clear
  C)
   \[2.5\text{ }J\]         
  done clear
  D)
   \[10\text{ }J\]
  done clear
  View Answer play_arrow

• question_answer48) For traffic moving at \[60\text{ }km/h\]along a circular track of radius \[0.1\text{ }km,\]the correct angle of banking is
  A)
   \[{{\tan }^{-1}}\left( \frac{{{60}^{2}}}{0.1} \right)\]
  done clear
  B)
   \[{{\tan }^{-1}}\left( \frac{{{(50/3)}^{2}}}{100\times 9.8} \right)\]
  done clear
  C)
   \[{{\tan }^{-1}}{{(60\times 0.1\times 9.8)}^{1/2}}\]
  done clear
  D)
   \[{{\tan }^{-1}}\left( \frac{100\times 9.8}{{{(50/3)}^{2}}} \right)\]
  done clear
  View Answer play_arrow

• question_answer49) Two projectiles are fired at different angles with the same magnitude of velocity, such that they have the same range. At what angles they might have been projected?
  A)
   \[{{25}^{o}}\] and \[{{65}^{o}}\]   
  done clear
  B)
   \[{{35}^{o}}\] and \[{{75}^{o}}\]
  done clear
  C)
   \[{{10}^{o}}\] and \[{{50}^{o}}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer50) If two non-zero vectors obey the relation \[|\vec{P}+\vec{Q}|=|\vec{P}-\vec{Q}|\].then the angle between  the vectors \[\vec{P},\] \[\vec{Q}\] is
  A)
   \[{{0}^{o}}\]
  done clear
  B)
   \[\pi \]
  done clear
  C)
   \[\frac{\pi }{4}\]
  done clear
  D)
   \[\frac{\pi }{2}\]
  done clear
  View Answer play_arrow

• question_answer51) A weightless spring which has a force constant k oscillates with a frequency r% when a mass m is suspended from it. The spring is cut into two equal halves and a mass 2m is attached to one of the halves. The frequency of oscillation will not become
  A)
   \[\sqrt{2n}\]         
  done clear
  B)
   \[\frac{n}{\sqrt{2}}\]
  done clear
  C)
   \[2n\]           
  done clear
  D)
   \[n\]
  done clear
  View Answer play_arrow

• question_answer52) A particle moves so that its acceleration a is given by \[a=-bx,\] where x is displacement from equilibrium position and b is a non-negative real constant. The time period of oscillation of the particle is
  A)
   \[2\pi \sqrt{b}\]        
  done clear
  B)
   \[\frac{2\pi }{b}\]
  done clear
  C)
   \[\frac{2\pi }{\sqrt{b}}\]
  done clear
  D)
   \[2\frac{\pi }{\sqrt{b}}\]             
  done clear
  View Answer play_arrow

• question_answer53) A tuning fork of frequency \[500\text{ }cycles/s\]is sounded on a resonance tube. The first and second resonance is obtained at \[17\text{ }cm\]and\[52\text{ }cm\]. The velocity of sound in m/s is
  A)
   \[175\]        
  done clear
  B)
   \[350\]
  done clear
  C)
   \[525\]          
  done clear
  D)
   \[700\]
  done clear
  View Answer play_arrow

• question_answer54) Which of the following characteristics does not change due to the damping of simple harmonic motion?
  A)
   Angular frequency
  done clear
  B)
   Time period
  done clear
  C)
   Initial phase
  done clear
  D)
   Amplitude
  done clear
  View Answer play_arrow

• question_answer55) A hollow charged metal sphere has a radius r. If the potential difference between its surface and a point at a distance \[3\text{ }r\]from the centre is V, then electrical intensity at distance \[3\text{ }r\]from the centre is
  A)
   \[\frac{V}{2r}\]
  done clear
  B)
   \[\frac{V}{3r}\]
  done clear
  C)
   \[\frac{V}{4r}\]
  done clear
  D)
   \[\frac{V}{6r}\]
  done clear
  View Answer play_arrow

• question_answer56) Current is flowing with a current density  \[J=480\,A/c{{m}^{2}}\]in a copper wire. Assuming that each copper atom contributes one free electron and given that Avogadro number \[=6.0\times {{10}^{23}}\text{ }atoms/mol\] Density of copper \[=9.0\text{ }g/c{{m}^{3}}\] Atomic weight of copper \[=64\text{ }g/mol\] Electronic charge \[=1.6\times {{10}^{-19}}C\] The drift velocity of electrons is
  A)
   \[1\text{ }mm/s\]
  done clear
  B)
   \[\text{2 }mm/s\]
  done clear
  C)
   \[0.5\text{ }mm/s\]     
  done clear
  D)
   \[0.36\text{ }mm/s\]
  done clear
  View Answer play_arrow

• question_answer57) A tap supplies water at \[{{20}^{o}}C\]. A man takes \[1\text{ }L\]of water per minute at \[{{35}^{o}}C\]from a geyser connected to the tap. The power of geyser is
  A)
   \[1050\text{ }W\]      
  done clear
  B)
   \[2100\text{ }W\]
  done clear
  C)
   \[1500\text{ }W\]      
  done clear
  D)
   \[3000\text{ }W\]
  done clear
  View Answer play_arrow

• question_answer58) A charge is fired through a magnetic field. The force acting on the charge is maximum when the angle between the direction of motion of charge and the magnetic field is
  A)
   zero          
  done clear
  B)
   \[\frac{\pi }{4}\]
  done clear
  C)
   \[\pi \]              
  done clear
  D)
   \[\frac{\pi }{2}\]
  done clear
  View Answer play_arrow

• question_answer59) At a place the angle of dip is \[{{30}^{o}}\]. If the horizontal component of earth's magnetic field is H, then the total field intensity is
  A)
   \[\frac{H}{2}\]
  done clear
  B)
   \[\frac{2H}{\sqrt{3}}\]
  done clear
  C)
   \[H\sqrt{2}\]
  done clear
  D)
   \[H\sqrt{3}\]
  done clear
  View Answer play_arrow

• question_answer60) A particle is vibrating in simple harmonic motion with an amplitude of\[4\text{ }cm\]. At what displacement from the equilibrium position is its energy half potential and half-kinetic?
  A)
   \[2\sqrt{2}cm\]      
  done clear
  B)
   \[\sqrt{2}cm\]
  done clear
  C)
   \[2\,cm\]         
  done clear
  D)
   \[1\,cm\]
  done clear
  View Answer play_arrow

• question_answer61) A tuning fork of frequency \[480\text{ }Hz\]produces 10 beats/s, when sounded with a sonometer string. A slight increase in tension in the sonometer string produces fewer beats/s than before. What was the frequency of sonometer string?
  A)
   \[470\text{ }Hz\]      
  done clear
  B)
   \[490\text{ }Hz\]
  done clear
  C)
   \[480\text{ }Hz\]      
  done clear
  D)
   \[460\text{ }Hz\]
  done clear
  View Answer play_arrow

• question_answer62) A hollow metal sphere of radius \[5\text{ }cm\]is charged such that potential at its surface is\[10\text{ }V\]. The potential at the centre of the sphere is
  A)
   zero volt
  done clear
  B)
   \[10\text{ }V\]
  done clear
  C)
   same as at point \[5\text{ }cm\]away from the surface
  done clear
  D)
   same as at point \[\text{10 }cm\] away from the surface
  done clear
  View Answer play_arrow

• question_answer63) An electric dipole consisting of two opposite charges of \[2\times {{10}^{-6}}\text{ }C\]each, separated by a distance of \[3\text{ }cm\]is placed in an electric field of  \[2\times {{10}^{5}}\text{ }N/C\]. The maximum torque on the dipole is
  A)
    \[12\times {{10}^{-1}}\text{ }Nm\]
  done clear
  B)
   \[12\times {{10}^{-3}}\text{ }Nm\]
  done clear
  C)
   \[24\times {{10}^{-1}}Nm\]
  done clear
  D)
   \[24\times {{10}^{-3}}\text{ }Nm\]
  done clear
  View Answer play_arrow

• question_answer64) A given piece of wire of length I and radius r is having a resistance R. This wire is stretched uniformly to a wire of radius \[\frac{r}{2}\]. What is the new resistance?
  A)
   \[4R\]          
  done clear
  B)
   \[8R\]
  done clear
  C)
   \[16R\]         
  done clear
  D)
   \[2R\]
  done clear
  View Answer play_arrow

• question_answer65) Two .thin long parallel wires separated by a distance b are carrying current i ampere each. The magnitude of the force per unit length exerted by one wire on the other is
  A)
   \[\frac{{{\mu }_{0}}}{2\pi }\frac{{{i}^{2}}}{b}\]
  done clear
  B)
   \[\frac{{{\mu }_{0}}}{2\pi }\frac{{{i}^{2}}}{{{b}^{2}}}\]
  done clear
  C)
   \[\frac{{{\mu }_{0}}}{2\pi }\frac{i}{b}\]
  done clear
  D)
   \[\frac{{{\mu }_{0}}}{2\pi }\frac{i}{{{b}^{2}}}\]
  done clear
  View Answer play_arrow

• question_answer66) To increase the range of a voltmeter, we need    to connect a suitable                        
  A)
   high resistance in parallel                
  done clear
  B)
   high resistance in series                 
  done clear
  C)
   low resistance in series                    
  done clear
  D)
   low resistance in parallel                  
  done clear
  View Answer play_arrow

• question_answer67) Two wires made up of the same material are of equal lengths but their radii are in the ratio of\[1:2\]. On stretching each of these two strings by the same tension, the ratio between the fundamental frequencies is                 
  A)
   \[1:4\]          
  done clear
  B)
   4 : 1               
  done clear
  C)
   \[2:1\]          
  done clear
  D)
   \[1:2\]               
  done clear
  View Answer play_arrow

• question_answer68) An object producing a pitch of \[400\text{ }Hz\]flies past a stationary person. The object was moving in a straight line with a velocity 200 m/s. The velocity of sound is 300 m/s. What is the change in frequency noted by the person as the object flies past him?                      
  A)
   \[1440\text{ }Hz\]
  done clear
  B)
   \[240\text{ }Hz\]
  done clear
  C)
   \[1200\text{ }Hz\]     
  done clear
  D)
   \[960\text{ }Hz\]
  done clear
  View Answer play_arrow

• question_answer69) Four capacitors each of \[1\mu F\] are connected as shown. The equivalent capacitance between P and Q is
  A)
   \[4\mu F\]
  done clear
  B)
   \[\frac{1}{4}\mu F\]
  done clear
  C)
   \[\frac{3}{4}\mu F\]
  done clear
  D)
   \[\frac{4}{3}\mu F\]
  done clear
  View Answer play_arrow

• question_answer70) The magnitude of electric field at distance r from an infinitely thin rod having a linear charge density \[\lambda ,\]is (use Gauss's law)
  A)
   \[E=\frac{\lambda }{2\pi {{\varepsilon }_{0}}r}\]
  done clear
  B)
   \[E=\frac{2\lambda }{\pi {{\varepsilon }_{0}}r}\]
  done clear
  C)
   \[E=\frac{2\lambda }{4\pi {{\varepsilon }_{0}}r}\]
  done clear
  D)
   \[E=\frac{4\lambda }{\pi {{\varepsilon }_{0}}r}\]
  done clear
  View Answer play_arrow

• question_answer71) A \[200\text{ }W\]and a \[100\text{ }W\]bulb, both. meant for operation at \[220\text{ }V\]are connected in series. When connected to a \[220\text{ }V\] supply the power consumed by the, combination is
  A)
   \[33.3\text{ }W\]
  done clear
  B)
   \[66.7\text{ }W\]
  done clear
  C)
   \[300W\]
  done clear
  D)
   \[100W\]
  done clear
  View Answer play_arrow

• question_answer72) The sensitivity of a moving coil galvanometer depends on
  A)
   angle of deflection   -
  done clear
  B)
   earth's magnetic field
  done clear
  C)
   torsional constant of the spring
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer73) Domain formation is the necessary feature of
  A)
   diamagnetic substances
  done clear
  B)
   paramagnetic substances
  done clear
  C)
   ferromagnetic substances
  done clear
  D)
   All of the above
  done clear
  View Answer play_arrow

• question_answer74) In a charged capacitor the energy stored in
  A)
   the positive charges
  done clear
  B)
   the negative charges
  done clear
  C)
   the field between the plates
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer75) For a given temperature difference which of the following pairs will generate maximum thermo-emf?
  A)
   lead-nickel
  done clear
  B)
   copper-iron
  done clear
  C)
   gold-silver
  done clear
  D)
   antimony-bismuth
  done clear
  View Answer play_arrow

• question_answer76) The electrons identified by quantum numbers:

  (I) \[n=4,l=1\]

  (II) \[n=4,l=0\]

  (III) \[n=3,l=2\]

  (IV) \[n=2,l=1\]

  can be placed in order of increasing energy from the lowest to highest as
  A)
   \[(IV)<(II)<(III)<(I)\]
  done clear
  B)
  \[(II)<(IV)<(I)<(III)\]
  done clear
  C)
   \[(I)<(III)<(II)<(IV)\]
  done clear
  D)
   \[(III)<(I)<(IV)<(II)\]
  done clear
  View Answer play_arrow

• question_answer77) Ground state electronic configuration of nitrogen atom can be represented as
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer78) The first emission line in the electronic spectrum of hydrogen in the Balmer series appears at\[c{{m}^{-1}}\]
  A)
  \[\frac{9R}{400}c{{m}^{-1}}\]
  done clear
  B)
  \[\frac{7R}{144}c{{m}^{-1}}\]
  done clear
  C)
   \[\frac{3R}{4}c{{m}^{-1}}\]
  done clear
  D)
   \[\frac{5R}{36}c{{m}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer79) \[\text{KMn}{{\text{O}}_{\text{4}}}\]reacts with oxalic acid according to the equation \[2MnO_{4}^{-}+5{{C}_{2}}O_{4}^{2-}+16{{H}^{+}}\xrightarrow{{}}2M{{n}^{2+}}\]\[+\,10C{{O}_{2}}+8{{H}_{2}}O\] Here, 20 mL of \[\text{0}\text{.1}\,\text{M}\,\text{KMn}{{\text{O}}_{\text{4}}}\] is equivalent to
  A)
   \[\text{20 mL}\]of \[\text{0}\text{.5}\,\text{M }{{\text{H}}_{\text{2}}}{{\text{C}}_{\text{2}}}{{\text{O}}_{\text{4}}}\]
  done clear
  B)
   \[\text{50}\,\text{mL}\]of \[\text{0}\text{.1}\,\text{M}\,{{\text{H}}_{\text{2}}}{{\text{C}}_{\text{2}}}{{\text{O}}_{\text{4}}}\]
  done clear
  C)
  \[\text{ }\!\!~\!\!\text{ 50 mL}\]of \[\text{0}\text{.01}\,\text{M}\,{{\text{H}}_{2}}{{C}_{2}}{{O}_{4}}\]
  done clear
  D)
   \[\text{20}\,\text{mL}\]of \[\text{0}\text{.1 M}\,{{\text{H}}_{\text{2}}}{{\text{C}}_{\text{2}}}{{\text{O}}_{\text{4}}}\]
  done clear
  View Answer play_arrow

• question_answer80) Half-life of a sample is 160 days. After 800 days, 1 g of the sample shall be reduced to
  A)
   \[\frac{1}{2}g\]
  done clear
  B)
  \[\frac{1}{5}g\]
  done clear
  C)
   \[\frac{1}{4}g\]
  done clear
  D)
   \[\frac{1}{32}g\]
  done clear
  View Answer play_arrow

• question_answer81) Radio-carbon dating was discovered by
  A)
   GN Lewis     
  done clear
  B)
   J Williard Gibbs
  done clear
  C)
   WF Libby     
  done clear
  D)
   W Nernst
  done clear
  View Answer play_arrow

• question_answer82) An aqueous solution of 6.3 g oxalic acid dihydrate is made up to 250 mL. The volume of N sodium hydroxide required to completely neutralise 10 mL of this solution is
  A)
   40 mL       
  done clear
  B)
   20 mL
  done clear
  C)
   10 mL       
  done clear
  D)
   4 mL
  done clear
  View Answer play_arrow

• question_answer83) How will increase of pressure affect the equation? \[C(s)+{{H}_{2}}O(g)CO(g)+{{H}_{2}}(g)\]
  A)
   Shift in the forward direction
  done clear
  B)
   Shift in the reverse direction
  done clear
  C)
   Increase in the yield of hydrogen
  done clear
  D)
   No effect   
  done clear
  View Answer play_arrow

• question_answer84) For which of the following reactions,\[{{K}_{p}}={{K}_{c}}?\]
  A)
  \[{{N}_{2}}+3{{H}_{2}}2N{{H}_{3}}\]
  done clear
  B)
   \[{{N}_{2}}+{{O}_{2}}2NO\]
  done clear
  C)
   \[PC{{l}_{5}}PC{{l}_{3}}+C{{l}_{2}}\]
  done clear
  D)
   \[2S{{O}_{3}}2S{{O}_{2}}+{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer85) Which of the following salts is most soluble?
  A)
  \[B{{i}_{2}}{{S}_{3}}({{K}_{sp}}=1\times {{10}^{-17}})\]
  done clear
  B)
   \[MnS({{K}_{sp}}=7\times {{10}^{-16}})\]
  done clear
  C)
   \[CuS({{K}_{sp}}=8\times {{10}^{-37}})\]
  done clear
  D)
   \[A{{g}_{2}}S({{K}_{sp}}=6\times {{10}^{-51}})\]
  done clear
  View Answer play_arrow

• question_answer86) Ostwald dilution law is applicable to
  A)
   strong electrolytes only
  done clear
  B)
   weak electrolytes only
  done clear
  C)
   non-electrolytes only
  done clear
  D)
   strong as well as weak electrolytes
  done clear
  View Answer play_arrow

• question_answer87) In the reaction \[2A+B\xrightarrow{{}}{{A}_{2}}B,\] if the  concentration of A is doubled and that of B is halved, then the rate of reaction will
  A)
   increase by 4 times
  done clear
  B)
   decrease by 2 times
  done clear
  C)
   increase by 2 times
  done clear
  D)
   remains the same
  done clear
  View Answer play_arrow

• question_answer88) The Arrhenius equation expressing the effect of temperature on the rate constant of a reaction is
  A)
   \[k={{e}^{-E/RT}}\]
  done clear
  B)
  \[k=\ln \frac{E}{RT}\]
  done clear
  C)
   \[k=\frac{A.E}{RT}\]
  done clear
  D)
   \[k=A.{{e}^{-{{E}_{a}}/RT}}\]
  done clear
  View Answer play_arrow

• question_answer89) If the half-time for a particular reaction is found to be constant and independent of the initial concentration of the reactants, then the reaction is of
  A)
   first order    
  done clear
  B)
   zero order
  done clear
  C)
   second order  
  done clear
  D)
   none of these     
  done clear
  View Answer play_arrow

• question_answer90) Normality of \[\text{2}\,\text{M}{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\] is               
  A)
   \[\text{2N}\]
  done clear
  B)
  \[\text{4}\,\text{N}\]
  done clear
  C)
   \[\frac{N}{2}\]
  done clear
  D)
   \[\frac{N}{4}\]
  done clear
  View Answer play_arrow

• question_answer91) Which of the following is a non-colligative property?
  A)
   Elevation in boiling point
  done clear
  B)
   Osmotic pressure
  done clear
  C)
   Optical activity
  done clear
  D)
   Depression in freezing point
  done clear
  View Answer play_arrow

• question_answer92) The freezing point of equimolal aqueous solution will be highest for
  A)
   \[{{C}_{6}}{{H}_{5}}N{{H}_{3}}Cl\]
  done clear
  B)
   \[La{{(N{{O}_{3}})}_{3}}\]
  done clear
  C)
   glucose      
  done clear
  D)
  \[Ca{{(N{{O}_{3}})}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer93) The van't Hoff factor for \[\text{0}\text{.1}\,\text{M}\,\text{Ba(N}{{\text{O}}_{\text{3}}}{{\text{)}}_{\text{2}}}\] solution is 2.74. The degree of dissociation is
  A)
   91.3%       
  done clear
  B)
   87%
  done clear
  C)
   100%        
  done clear
  D)
   74%
  done clear
  View Answer play_arrow

• question_answer94) The enthalpy of vaporisation of liquid water using the data \[{{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow{{}}{{H}_{2}}O(l)\] \[\Delta H=-285.77\,kJ/mol\] \[{{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow{{}}{{H}_{2}}O(g);\] \[\Delta H=-241.84\,kJ/mol\]is
  A)
   \[+\,43.93\,kJ/mol\]
  done clear
  B)
   \[-43.93\,kJ/mol\]
  done clear
  C)
   \[527.61\,kJ/mol\]
  done clear
  D)
   \[-527.61\,kJ/mol\]
  done clear
  View Answer play_arrow

• question_answer95) The enthalpy change for the transition of liquid water to steam is \[40.8\,kJ\,mo{{l}^{-1}}\]at \[373\,K.\] Calculate the entropy of vaporisation of water.
  A)
   \[109.4\,J{{K}^{-1}}\,mo{{l}^{-1}}\]
  done clear
  B)
   \[-109.4\,J{{K}^{-1}}\,mo{{l}^{-1}}\]
  done clear
  C)
   \[218.8\,J{{K}^{-1}}\,mo{{l}^{-1}}\]
  done clear
  D)
   \[-218.8\,J{{K}^{-1}}\,mo{{l}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer96) The occurrence of the reaction is impossible if
  A)
  \[\Delta H\] is\[+\,ve;\Delta S\] is also \[+\,ve\]
  done clear
  B)
  \[\Delta H\]is\[~-ve;\text{ }\Delta S\] is also \[-ve\]
  done clear
  C)
  \[\Delta H\]is \[-ve;\Delta \,S\]is \[+\,ve\]
  done clear
  D)
  \[\Delta H\] is \[+\,ve;\Delta S\]is \[-ve\]
  done clear
  View Answer play_arrow

• question_answer97) The bond energy of an\[O-H\] bond is 109 kcal/mol. When a mole of water is formed, then
  A)
   109 kcal is released
  done clear
  B)
   218 kcal is absorbed
  done clear
  C)
   109 kcal is absorbed
  done clear
  D)
   218 kcal is released
  done clear
  View Answer play_arrow

• question_answer98) Of the following reaction, only one is a redox reaction. Identify this reaction.
  A)
  \[Ca{{(OH)}_{2}}+2HCl\xrightarrow{{}}CaC{{l}_{2}}+2{{H}_{2}}O\]
  done clear
  B)
   \[2{{S}_{2}}O_{7}^{2-}+2{{H}_{2}}O\xrightarrow{{}}2SO_{4}^{2-}+4{{H}^{+}}\]
  done clear
  C)
   \[BaC{{l}_{2}}+MgS{{O}_{4}}\xrightarrow{{}}BaS{{O}_{4}}+MgC{{l}_{2}}\]
  done clear
  D)
   \[C{{u}_{2}}S+2FeO\xrightarrow{{}}2Cu+2Fe+S{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer99) Oxidation number of nitrogen is highest in
  A)
  \[{{N}_{3}}H\]
  done clear
  B)
   \[{{N}_{2}}{{O}_{4}}\]
  done clear
  C)
   \[N{{H}_{2}}OH\]
  done clear
  D)
  \[N{{H}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer100) Correct order of first ionization potential among the following elements Be, B, C, N, O is
  A)
   \[B<Be<C<O<N\]
  done clear
  B)
   \[B<Be<C<N<O\]
  done clear
  C)
  \[~Be<B<C<N<\text{O}\]
  done clear
  D)
  \[~Be<B<C<O<N\]
  done clear
  View Answer play_arrow

• question_answer101) The unit of equivalent conductivity is
  A)
   ohm cm
  done clear
  B)
  \[~oh{{m}^{-1}}c{{m}^{2}}\text{ }g\text{ }equi{{v}^{-1}}\]
  done clear
  C)
   \[oh{{m}^{-2}}c{{m}^{-2}}\text{ }g\text{ }equiv\]
  done clear
  D)
  \[oh{{m}^{-2}}c{{m}^{-2}}g\,equiv\]
  done clear
  View Answer play_arrow

• question_answer102) In which of the following crystals of ionic compounds would you expect maximum distance between the centres of cations and anions?
  A)
  \[\text{ }\!\!~\!\!\text{ LiF}\]            
  done clear
  B)
  \[\text{CsF}\]
  done clear
  C)
  \[CsI\]            
  done clear
  D)
  \[LiI\]
  done clear
  View Answer play_arrow

• question_answer103)  50 mL of hydrogen diffuses through small hole from a vessel in 20 min time. Time taken for 40  mL of oxygen to diffuse out under similar conditions will be
  A)
   12 min       
  done clear
  B)
   32 min
  done clear
  C)
   8 min        
  done clear
  D)
   64 min
  done clear
  View Answer play_arrow

• question_answer104) A gas will approach ideal behaviour at
  A)
   low temperature and high pressure
  done clear
  B)
   low temperature and low pressure
  done clear
  C)
   high temperature and low pressure
  done clear
  D)
   high temperature and high pressure
  done clear
  View Answer play_arrow

• question_answer105) A colloidal system in which gas bubbles are dispersed in a liquid is known as
  A)
   foam         
  done clear
  B)
   aerosol
  done clear
  C)
   sol           
  done clear
  D)
   emulsion
  done clear
  View Answer play_arrow

• question_answer106) In which of the following, Tyndall effect is not observed?
  A)
   Smoke       
  done clear
  B)
   Emulsions
  done clear
  C)
   Sugar solution
  done clear
  D)
   Gold sol
  done clear
  View Answer play_arrow

• question_answer107) Which is not correct regarding the adsorption of a gas on surface of a solid?
  A)
   Enthalpy and entropy change is negative
  done clear
  B)
   Adsorption is more for some specific substance
  done clear
  C)
   On increasing temperature, adsorption increases progressively
  done clear
  D)
   It is a reversible reaction
  done clear
  View Answer play_arrow

• question_answer108) The ionic radii of isoelectronic species\[{{N}^{3-}},{{O}^{2-}}\]and \[{{F}^{-}}\]are in the order
  A)
   1.36, 1.40, 1.71
  done clear
  B)
   1.36, 1.71, 1.40
  done clear
  C)
   1.71, 1.40, 1.36
  done clear
  D)
   1.71, 1.36, 1.40
  done clear
  View Answer play_arrow

• question_answer109) Which of the following element is most electropositive?
  A)
   Al           
  done clear
  B)
   Mg
  done clear
  C)
   P            
  done clear
  D)
   S
  done clear
  View Answer play_arrow

• question_answer110) The compound in which carbon atom uses only \[s{{p}^{3}}-\]hybrid orbitals for bond formation is
  A)
  \[HCOOH\]
  done clear
  B)
  \[N{{H}_{2}}CON{{H}_{2}}\]
  done clear
  C)
   \[{{(C{{H}_{3}})}_{3}}COH\]
  done clear
  D)
  \[C{{H}_{3}}CHO\]
  done clear
  View Answer play_arrow

• question_answer111) The only molecule having dipole moment is
  A)
   2,2-dimethylpropane
  done clear
  B)
   trans-2-pentene
  done clear
  C)
   trans-3-hexene
  done clear
  D)
   2,2,3,3-tetramethylbutane
  done clear
  View Answer play_arrow

• question_answer112) \[{{N}_{2}}\]and\[{{O}_{2}}\]are converted into\[N_{2}^{+}\]and \[O_{2}^{+}\]respectively. Which of the following is .not correct?
  A)
   In \[{{N}_{2}}^{+},\]the N?N bond weakens
  done clear
  B)
   In \[O_{2}^{+},O-O\] bond order increases
  done clear
  C)
   ln \[{{O}_{2}}^{+},\] paramagnetism decreases
  done clear
  D)
   \[{{\text{N}}_{\text{2}}}^{\text{+}}\]becomes diamagnetic
  done clear
  View Answer play_arrow

• question_answer113) The hybridisation of carbon atoms in C?C single bond of\[HC\equiv C-CH=C{{H}_{2}}\]is
  A)
  \[s{{p}^{3}}-s{{p}^{3}}\]
  done clear
  B)
  \[s{{p}^{2}}-s{{p}^{2}}\]
  done clear
  C)
   \[sp-s{{p}^{2}}\]
  done clear
  D)
   \[s{{p}^{3}}-sp\]
  done clear
  View Answer play_arrow

• question_answer114) Chemical A is used for water softening to remove temporary hardness. A reacts with sodium carbonate to generate caustic soda. When\[\text{C}{{\text{O}}_{\text{2}}}\] is bubbled through A, it turns cloudy. What is A?
  A)
  \[\text{CaC}{{\text{O}}_{3}}\]
  done clear
  B)
  \[CaO\]
  done clear
  C)
   \[Ca{{(OH)}_{2}}\]
  done clear
  D)
  \[Ca{{(HC{{O}_{3}})}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer115) Which of the following pentafluorides can't be formed?
  A)
  \[P{{F}_{5}}\]
  done clear
  B)
  \[As{{F}_{5}}\]
  done clear
  C)
   \[Sb{{F}_{5}}\]
  done clear
  D)
  \[Bi{{F}_{5}}\]
  done clear
  View Answer play_arrow

• question_answer116) The correct order of increasing oxidising power is
  A)
  \[~{{F}_{2}}<C{{l}_{2}}<{{I}_{2}}>B{{r}_{2}}\]
  done clear
  B)
  \[~{{F}_{2}}<B{{r}_{2}}<C{{l}_{2}}<{{I}_{2}}\]
  done clear
  C)
  \[~C{{l}_{2}}<B{{r}_{2}}<{{F}_{2}}<{{I}_{2}}\]
  done clear
  D)
   \[{{I}_{2}}<B{{r}_{2}}<C{{l}_{2}}<{{F}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer117) Amongst \[TiF_{6}^{2-},CoF_{6}^{3-},C{{u}_{2}}C{{l}_{2}}\]and \[NiCl_{4}^{2-}\]at. no.\[Ti=22,Co=27,Cu=29,Ni=28\]). The. colourless species are
  A)
   \[CoF_{6}^{3-}\]and \[NiCl_{4}^{2-}\]
  done clear
  B)
   \[TiF_{6}^{2-}\]and \[CoF_{6}^{3-}\]
  done clear
  C)
  \[C{{u}_{2}}C{{l}_{2}}\] and \[NiCl_{4}^{2-}\]
  done clear
  D)
   \[TiF_{6}^{2-}\] and \[C{{u}_{2}}C{{l}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer118) The number of S?S bonds in sulphur trioxide is
  A)
   three         
  done clear
  B)
   two
  done clear
  C)
   one          
  done clear
  D)
   zero
  done clear
  View Answer play_arrow

• question_answer119) Choose the correct statement.
  A)
   Transition elements have low melting point
  done clear
  B)
   Transition elements do not have catalytic activity
  done clear
  C)
   Transition elements exhibit variable oxidation states
  done clear
  D)
   Transition elements show inert pair effect
  done clear
  View Answer play_arrow

• question_answer120) Two of the constituents of German silver are
  A)
  \[Ag+Cu\]
  done clear
  B)
  \[Ag+Zn\]
  done clear
  C)
   \[Cu+Zn\]
  done clear
  D)
  \[Cu+Sn\]
  done clear
  View Answer play_arrow

• question_answer121) Aufbau principle does not Jgrve the correct arrangement of filling Up T of atomic orbitals in
  A)
   Cu and Zn    
  done clear
  B)
   Co and Zn
  done clear
  C)
   Mn and Cr    
  done clear
  D)
   Cu and Cr
  done clear
  View Answer play_arrow

• question_answer122) Which of the following compounds exhibit linkage isomerism?
  A)
  \[[Co{{(en)}_{3}}]C{{l}_{3}}\]
  done clear
  B)
  \[[Co{{(en)}_{3}}]C{{l}_{3}}\]
  done clear
  C)
   \[[Co{{(en)}_{2}}N{{O}_{2}}Cl]Br\]
  done clear
  D)
   \[[Co{{(N{{H}_{3}})}_{5}}Cl]B{{r}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer123) IUPAC name of\[[Pt{{(N{{H}_{3}})}_{3}}Br(N{{O}_{2}})Cl]Cl\]
  A)
   triamminechlorobromonitro platinum (IV) chloride                          
  done clear
  B)
   triamminebromonitrochloro platinum (IV) chloride           
  done clear
  C)
   triamminebromochloronitro platinum (IV) chloride            
  done clear
  D)
   triamminenitrochlorobromo platinum (IV)chloride                          
  done clear
  View Answer play_arrow

• question_answer124) According to postulates ofWemefs theory for coordination compounds, which of the following is true?
  A)
   Primary valencies are ionisable      
  done clear
  B)
   Secondary valencies are ionisable     
  done clear
  C)
   Only primary valencies are non-ionizable
  done clear
  D)
   Primary and secondary valencies are non- ionisable                            
  done clear
  View Answer play_arrow

• question_answer125) Ferrocene is an example of
  A)
   sand-wiched complex
  done clear
  B)
   pi-bonded complex                  
  done clear
  C)
   a complex in which all the five carbon atoms of cyclopentadiene anion are bonded to the metal
  done clear
  D)
   all of the above          
  done clear
  View Answer play_arrow

• question_answer126) Which form of iron is least ductile?         
  A)
   Hard steel    
  done clear
  B)
   Cast iron         
  done clear
  C)
   Mild steel     
  done clear
  D)
   Wrought steel     
  done clear
  View Answer play_arrow

• question_answer127) Which of the following is known as Lunar caustic when in the fused state?            
  A)
   Silver nitrate
  done clear
  B)
   Silver sulphate
  done clear
  C)
   Silver chloride
  done clear
  D)
   Sodium sulphate
  done clear
  View Answer play_arrow

• question_answer128) One of the following metals is obtained by leaching its ore with dilute cyanide solution. Identify it.
  A)
   Titanium     
  done clear
  B)
   Vanadium
  done clear
  C)
   Silver        
  done clear
  D)
   Zinc
  done clear
  View Answer play_arrow

• question_answer129) Which of the following species could be expected to exhibit aromatic character? Select the correct answer from the following
  A)
   I and IV      
  done clear
  B)
   II and IV
  done clear
  C)
   I and III      
  done clear
  D)
   II and III
  done clear
  View Answer play_arrow

• question_answer130) The correct IUPAC name of the following compound is \[C{{H}_{3}}C{{H}_{2}}\underset{C{{H}_{3}}}{\mathop{\underset{|}{\mathop{CH}}\,}}\,-C=\underset{{{C}_{2}}{{H}_{5}}}{\mathop{\underset{|}{\mathop{C}}\,}}\,-\underset{{{C}_{2}}{{H}_{5}}}{\mathop{\underset{|}{\mathop{C}}\,}}\,HC{{H}_{2}}C{{H}_{2}}C{{H}_{2}}C{{H}_{3}}\]
  A)
   5, 6-dimethyl-8-methyl dec-6-ene
  done clear
  B)
   6-butyl-5-ethyl-3-methyl oct-4-ene
  done clear
  C)
   5, 6-diethyl-3-methyl dec-4-ene
  done clear
  D)
   2, 4, 5-triethyl non-3-ene
  done clear
  View Answer play_arrow

• question_answer131) The kind of delocalisation involving sigma bond is called
  A)
   inductive effect
  done clear
  B)
   hyperconjugation effect
  done clear
  C)
   electromeric effect
  done clear
  D)
   mesomeric effect
  done clear
  View Answer play_arrow

• question_answer132) Which of the following compounds react with HBr obeying Markownikoff?s rule?
  A)
   \[C{{H}_{2}}=C{{H}_{2}}\]
  done clear
  B)
  
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer133) How many cyclic isomers of \[{{\text{C}}_{\text{5}}}{{\text{H}}_{\text{10}}}\]are possible?
  A)
   Four         
  done clear
  B)
   Three
  done clear
  C)
   Two         
  done clear
  D)
   Six
  done clear
  View Answer play_arrow

• question_answer134) The (R) and (S) enantiomers of an optically active compound differ in
  A)
   their reactivity
  done clear
  B)
   their optical rotation of plane polarized light
  done clear
  C)
   their melting point
  done clear
  D)
   their solubility in achiral reagents
  done clear
  View Answer play_arrow

• question_answer135) Which of the following organic compounds exhibit acidic character?
  A)
  \[{{H}_{3}}C-C\equiv CH\]
  done clear
  B)
   \[{{H}_{3}}C-C\equiv C-C{{H}_{3}}\]
  done clear
  C)
   \[{{H}_{2}}C=C{{H}_{2}}\]
  done clear
  D)
   \[{{H}_{3}}C-C{{H}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer136) Methane is produced by the hydrolysis of
  A)
  \[A{{l}_{4}}{{C}_{3}}\]
  done clear
  B)
  \[Ca{{C}_{2}}\]
  done clear
  C)
  Dry ice
  done clear
  D)
   \[n-{{C}_{3}}{{H}_{7}}MgBr\]
  done clear
  View Answer play_arrow

• question_answer137) In the reaction of phenol with chloroform and aqueous solution of\[\text{NaOH}\]at \[\text{70}{{\,}^{o}}C,\] the electrophile attacking the ring is
  A)
   \[CHC{{l}_{3}}\]
  done clear
  B)
  \[CHC{{l}_{2}}\]
  done clear
  C)
   \[_{.}^{.}CC{{l}_{2}}\]
  done clear
  D)
   \[COC{{l}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer138) Which of the following compounds can exist in optically active form?
  A)
   1-butanol    
  done clear
  B)
   2-butanol
  done clear
  C)
   3-pentanol   
  done clear
  D)
   4-heptanol
  done clear
  View Answer play_arrow

• question_answer139) Chloroform is slowly oxidised by air in the presence of light and air to form
  A)
   formyl chloride
  done clear
  B)
   trichloro methanol
  done clear
  C)
   phosgene
  done clear
  D)
   formaldehyde
  done clear
  View Answer play_arrow

• question_answer140) Chlorination of toluene in the presence of light and heat followed by treatment with aqueous NaOH solution gives
  A)
   o-cresol      
  done clear
  B)
   p-cresol
  done clear
  C)
   benzoic acid  
  done clear
  D)
   2, 4-dihydroxytoluene
  done clear
  View Answer play_arrow

• question_answer141) Formation of cyanohydrin from the reaction of acetone with HCN is called
  A)
   electrophilic addition
  done clear
  B)
   nucleophilic addition
  done clear
  C)
   electrophilic substitution
  done clear
  D)
   nucleophilic substitution
  done clear
  View Answer play_arrow

• question_answer142) In the following reaction, \[C{{H}_{3}}COCl\frac{BaS{{O}_{4}}}{Pd/{{H}_{2}}}X\] Identify X out of the following
  A)
   acetaidehyde 
  done clear
  B)
   propionaldehyde
  done clear
  C)
   acetone       
  done clear
  D)
   acetic anhydride
  done clear
  View Answer play_arrow

• question_answer143) Reaction of t-butyl bromide with sodium methoxide produces
  A)
   isobutane
  done clear
  B)
   isobutylene
  done clear
  C)
   sodium-t-butoxide
  done clear
  D)
   t-butylmethylether
  done clear
  View Answer play_arrow

• question_answer144) The acid which does not contain \[-\text{COOH}\] group is
  A)
   ethanoic acid  
  done clear
  B)
   picric acid
  done clear
  C)
   lactic acid     
  done clear
  D)
   palmitic acid
  done clear
  View Answer play_arrow

• question_answer145) The decreasing order of basic character of the three amines and ammonia is
  A)
  \[N{{H}_{3}}>C{{H}_{3}}N{{H}_{2}}>{{C}_{2}}{{H}_{5}}N{{H}_{2}}>{{C}_{6}}{{H}_{5}}N{{H}_{2}}\]
  done clear
  B)
   \[{{C}_{2}}{{H}_{5}}N{{H}_{2}}>C{{H}_{3}}N{{H}_{2}}>N{{H}_{3}}>{{C}_{6}}{{H}_{5}}N{{H}_{2}}\]
  done clear
  C)
   \[{{C}_{6}}{{H}_{5}}N{{H}_{2}}>{{C}_{2}}{{H}_{5}}N{{H}_{2}}>C{{H}_{3}}N{{H}_{2}}>N{{H}_{3}}\]
  done clear
  D)
   \[C{{H}_{3}}N{{H}_{2}}>{{C}_{2}}{{H}_{5}}N{{H}_{2}}>{{C}_{6}}{{H}_{5}}N{{H}_{2}}>N{{H}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer146) Aniline is treated with a mixture of sodium nitrite and hypophosphorus acid, the product formed is
  A)
   aniline diazonium hypophosphate
  done clear
  B)
   benzene
  done clear
  C)
   anilinium hypophosphite
  done clear
  D)
   aniline diazonium hypophosphite
  done clear
  View Answer play_arrow

• question_answer147) Nitrosoamines \[({{R}_{2}}N-N=O)\] are soluble in  water. On heating them with cone \[{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\text{,}\]they give secondary amines. The reaction is called
  A)
   Perkin's reaction
  done clear
  B)
   Fries reaction
  done clear
  C)
   Libermann nitroso reaction
  done clear
  D)
   Etard reaction
  done clear
  View Answer play_arrow

• question_answer148) The compound obtained by heating a mixture of\[{{\text{1}}^{\text{o}}}\]amine and chloroform with ethanolic potassium hydroxide is
  A)
   an alkyl isocyanide             
  done clear
  B)
   an alkyl isothiocyanate
  done clear
  C)
   an amide                    
  done clear
  D)
   an amide and nitro compound
  done clear
  View Answer play_arrow

• question_answer149) Which of the following is not an amino acid?
  A)
   Glycine       
  done clear
  B)
   Alanine
  done clear
  C)
   Histidine     
  done clear
  D)
   Benzidine
  done clear
  View Answer play_arrow

• question_answer150) Which of the following is a fat soluble vitamin?
  A)
   Vitamin A    
  done clear
  B)
   Riboflavin
  done clear
  C)
   Pyridoxin     
  done clear
  D)
   Thiamine
  done clear
  View Answer play_arrow

• question_answer151) \[\int_{0}^{1}{{{\cot }^{-1}}(1-x+{{x}^{2}})dx}\] is equal to
  A)
   \[\pi -\log 2\]
  done clear
  B)
   \[\pi +\log 2\]
  done clear
  C)
   \[\frac{\pi }{2}+\log 2\]
  done clear
  D)
   \[\frac{\pi }{2}-\log 2\]
  done clear
  View Answer play_arrow

• question_answer152) \[\int_{0}^{1}{\log \,\left\{ \sin \left( \frac{\pi \,\,x}{2} \right) \right\}}\,\,dx\] is equal to
  A)
   \[-\frac{\pi }{2}\log \,2\]
  done clear
  B)
   \[-\,\log \,\,\,2\]
  done clear
  C)
   \[-\frac{\pi }{2}\,\log \,2\]
  done clear
  D)
   \[\frac{\pi }{2}\,\log \,2\]
  done clear
  View Answer play_arrow

• question_answer153) The value of \[2\cos \frac{\pi }{13}.\cos \frac{9\pi }{13}+\cos \frac{3\pi }{13}+\cos \frac{5\pi }{13}\] is
  A)
   \[-1\]
  done clear
  B)
   \[0\]
  done clear
  C)
   \[1\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer154) In a triangle ABC, \[a=5,\] \[b=4\] and \[\cos (A+B)=\frac{31}{32}\] In this triangle, c is equal to
  A)
   \[\sqrt{6}\]           
  done clear
  B)
   \[36\]
  done clear
  C)
   \[6\]           
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer155) The locus of the centre of a circle of radius 2 which rolls on the outside of the circle \[{{x}^{2}}+{{y}^{2}}+3x-6y-9=0\]is
  A)
   \[{{x}^{2}}+{{y}^{2}}+3x-6y+5=0\]
  done clear
  B)
   \[{{x}^{2}}+{{y}^{2}}+3x-6y-31=0\]
  done clear
  C)
   \[{{x}^{2}}+{{y}^{2}}+3x-6y+\frac{29}{4}=0\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer156) \[\int{x|x|\,dx}\] is
  A)
   \[\frac{{{x}^{2}}}{3}\]
  done clear
  B)
   \[-\frac{{{x}^{2}}}{3}\]
  done clear
  C)
   \[\frac{{{x}^{2}}|x|}{3}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer157) The solution set of the equation \[\sqrt{3{{x}^{2}}-7x-30}-\sqrt{2{{x}^{2}}-7x-5}=x-5\] is
  A)
   \[\{6\}\]
  done clear
  B)
   \[\left\{ 6,-\frac{5}{2} \right\}\]
  done clear
  C)
   \[\{5,6\}\]
  done clear
  D)
   \[\left\{ 5,\frac{7}{2} \right\}\]
  done clear
  View Answer play_arrow

• question_answer158) If one root of the equation \[{{x}^{2}}+px+q=0\]is \[2+\sqrt{3},\] then the value of p and q are
  A)
   \[-4,1\]          
  done clear
  B)
   \[4,-1\]
  done clear
  C)
   \[2,\,\,\,\sqrt{3}\]         
  done clear
  D)
   \[-2,-\,\,\,\sqrt{3}\]
  done clear
  View Answer play_arrow

• question_answer159) In an AP the sum of any two terms, such that the distance of one of them from the beginning is same as that of the other from the end, is
  A)
   first term
  done clear
  B)
   sum of first and last terms
  done clear
  C)
   last term
  done clear
  D)
   half of the sum of the series
  done clear
  View Answer play_arrow

• question_answer160) If \[x,\,2x+2,\,\,3x+3,.....\] are in GP, then the fourth term is
  A)
   \[27.5\]          
  done clear
  B)
   \[4x+5\]
  done clear
  C)
   \[-13.5\]         
  done clear
  D)
   \[4x+4\]
  done clear
  View Answer play_arrow

• question_answer161) The third term of a GP is 4. The product of its first five terms is
  A)
   \[{{4}^{5/2}}\]         
  done clear
  B)
   \[{{4}^{5}}\]
  done clear
  C)
   \[{{4}^{3}}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer162) The number of terms in the expansion of \[{{[{{(a+4b)}^{3}}{{(-4b+a)}^{3}}]}^{2}}\]are
  A)
  \[6\]            
  done clear
  B)
   \[7\]
  done clear
  C)
   \[8\]             
  done clear
  D)
   \[18\]
  done clear
  View Answer play_arrow

• question_answer163) The coefficient of \[{{x}^{4}}\] in \[{{\left( \frac{x}{2}-\frac{3}{{{x}^{2}}} \right)}^{10}}\]is
  A)
   \[\frac{405}{256}\]
  done clear
  B)
   \[\frac{504}{259}\]
  done clear
  C)
   \[\frac{450}{263}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer164) Let A and B be two events such that \[P(A)=0.3,\]\[P(A\cup B)=0.8,\]if A and B are independent events, then \[P(B)\] is equal to
  A)
   \[5/7\]          
  done clear
  B)
   \[5/13\]
  done clear
  C)
   \[1/3\]          
  done clear
  D)
   \[1/2\]
  done clear
  View Answer play_arrow

• question_answer165) If for some real number k \[\underset{x\to 0}{\mathop{\lim }}\,kx\,\,\text{cosec (x) =}\underset{x\to 0}{\mathop{\text{lim}}}\,\,\,x\,\,\text{cosec}\,\,(kx),\] then the possible values of k are
  A)
   \[1,-1\]                                                
  done clear
  B)
   \[0,\,\,\,1\]
  done clear
  C)
   \[1,\,\,\,2\]
  done clear
  D)
   \[0,\,\,\,\pi \]
  done clear
  View Answer play_arrow

• question_answer166) If \[{{\log }_{2}}[{{\log }_{3}}\{lo{{g}_{4}}({{\log }_{5}}x)\}]=0,\]then the value of x is
  A)
   \[{{5}^{24}}\]             
  done clear
  B)
   \[1\]
  done clear
  C)
   \[{{2}^{25}}\]              
  done clear
  D)
   \[{{5}^{64}}\]
  done clear
  View Answer play_arrow

• question_answer167) The tangent to the curve \[y=2{{x}^{2}}-x+1\]is parallel to the line \[y=3x+9\]at the point
  A)
   \[(3,\,\,9)\]         
  done clear
  B)
   \[(2,\,\,-1)\]
  done clear
  C)
   \[(2,\,1)\]
  done clear
  D)
   \[(1,\,2)\]
  done clear
  View Answer play_arrow

• question_answer168) The system of equations \[x+3y+2z=0\] \[3x+y+z=0\] and \[2x-2y-z=0\]
  A)
   possesses a trivial solution only
  done clear
  B)
   possesses a non-zero unique solution
  done clear
  C)
   does not have a common non-zero solution
  done clear
  D)
   has infinitely many solutions
  done clear
  View Answer play_arrow

• question_answer169) If \[\omega \] is a cube root of unity, then a root of the equation      \[\left| \begin{matrix}    x+1 & \omega  & {{\omega }^{2}}  \\    \omega  & x+{{\omega }^{2}} & 1  \\    {{\omega }^{2}} & 1 & x+\omega   \\ \end{matrix} \right|=0\] is
  A)
   \[x=0\]
  done clear
  B)
   \[x=1\]
  done clear
  C)
   \[x=\omega \]
  done clear
  D)
   \[x={{\omega }^{2}}\]
  done clear
  View Answer play_arrow

• question_answer170) If A is a square matrix, then AA' is a (A' is the transpose of the matrix A)     
  A)
   unit matrix
  done clear
  B)
   null matrix
  done clear
  C)
   symmetric matrix
  done clear
  D)
   skew-symmetric matrix
  done clear
  View Answer play_arrow

• question_answer171) If A is a \[3\times 3\] non-singular matrix, then \[\det \,\,({{A}^{-1}}\,adj\,A)\] is equal to
  A)
   \[det\text{ }A\]        
  done clear
  B)
   \[1\]
  done clear
  C)
   \[{{(det\text{ }A)}^{2}}\]      
  done clear
  D)
   \[{{(det\text{ }A)}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer172) In case of a linear programming problem, feasible region is always
  A)
   a convex set
  done clear
  B)
   a concave set
  done clear
  C)
   a bounded convex set
  done clear
  D)
   a bounded concave set
  done clear
  View Answer play_arrow

• question_answer173) Which of the following is an odd function?
  A)
   \[|x|+1\]
  done clear
  B)
   \[\sin x+\cos x\]
  done clear
  C)
   \[{{x}^{2}}\,\,\sec x+x\,{{\tan }^{2}}x\]
  done clear
  D)
   \[{{x}^{2}}\cot x+4{{x}^{4}}\,\text{cosec x+}{{\text{x}}^{5}}\]
  done clear
  View Answer play_arrow

• question_answer174) The incentre of the triangle with vertices \[(1,\sqrt{3}),\,(0,0)\]and \[(2,0)\]is
  A)
   \[(1,\,\sqrt{3}/2)\]     
  done clear
  B)
   \[(2/3,\,\,\,1\,\sqrt{3})\]
  done clear
  C)
   \[(2/3,\,\,\sqrt{3}/2)\]
  done clear
  D)
   \[(1,\,\,1/\sqrt{3})\]
  done clear
  View Answer play_arrow

• question_answer175) If r is Karl Pearson's coefficient of correlation between two sets of variates, then
  A)
   \[r<1\]         
  done clear
  B)
   \[r>1\]
  done clear
  C)
   \[r<-1\]
  done clear
  D)
   \[|r|\,\le \,1\]
  done clear
  View Answer play_arrow

• question_answer176) Three dice are thrown simultaneously, then probability of throwing a total greater than 4 is
  A)
   \[1/54\]         
  done clear
  B)
   \[53/54\]
  done clear
  C)
   \[5/108\]        
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer177) An approximate evaluation of \[\int_{a}^{b}{f(x)\,\,dx}\] using trapezoidal rule requires the division of \[[a,b]\] into
  A)
   an even number of sub-intervals
  done clear
  B)
   an odd number of sub-intervals
  done clear
  C)
   any number of sub-intervals
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer178) In a triangle ABC, \[C={{90}^{o}}\]. If r is the in radius and R is the circum radius of the triangle, then \[2\,(r+R)\]is equal to
  A)
   \[a+c\]        
  done clear
  B)
   \[a+b+c\]
  done clear
  C)
   \[b+c\]        
  done clear
  D)
   \[a+b\]
  done clear
  View Answer play_arrow

• question_answer179) The  relation \[{{\tan }^{-1}}\left( \frac{1+x}{1-x} \right)=\frac{\pi }{4}+{{\tan }^{-1}}x\] holds true for all
  A)
   \[x\,\in R\]
  done clear
  B)
   \[x\,\in (-\infty ,\,1)\]
  done clear
  C)
   \[x\,\in (-1,\,\,\infty )\]
  done clear
  D)
   \[x\,\in (-\,\infty ,-1)\]
  done clear
  View Answer play_arrow

• question_answer180) \[\int_{0}^{\pi /2}{\frac{1}{1+{{\tan }^{3}}x}}dx\]is equal to
  A)
   \[\pi /2\]
  done clear
  B)
   \[\pi /4\]
  done clear
  C)
   \[\pi \]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer181) A letter is taken out at random from the word 'ASSISTANT and another is taken-out from the word 'STATISTICS'. The chance that the two selected letters are identical, is
  A)
   \[19/45\]        
  done clear
  B)
   \[19/90\]
  done clear
  C)
   \[89/90\]        
  done clear
  D)
   \[1/90\]
  done clear
  View Answer play_arrow

• question_answer182) The probability that the 6th day of a randomly chosen month of a year is a Sunday, is
  A)
   \[1/12\]         
  done clear
  B)
   \[1/17\]
  done clear
  C)
   \[1/84\]         
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer183) \[\underset{x\to \infty }{\mathop{\lim }}\,\left( \sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x} \right)\] is equal to
  A)
   \[1/2\]           
  done clear
  B)
   \[0\]
  done clear
  C)
   \[1\]             
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer184) \[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{{{x}^{2}}+5x+3}{{{x}^{2}}+x+2} \right)}^{x}}\] is equal to
  A)
   \[e\]
  done clear
  B)
   \[{{e}^{2}}\]
  done clear
  C)
   \[{{e}^{3}}\]
  done clear
  D)
   \[{{e}^{4}}\]
  done clear
  View Answer play_arrow

• question_answer185) If \[{{b}^{2}}-4ac=0\]and \[a>0,\]then domain of the function \[f(x)=\log \{(a{{x}^{2}}+bx+c)\,\,(x+1)\}\] is
  A)
   \[R-\left( -\frac{b}{2a} \right)\]
  done clear
  B)
   \[R-(-\infty ,\,\,-1)\]
  done clear
  C)
   \[(-1,\infty )-\left\{ -\frac{b}{2a} \right\}\]
  done clear
  D)
   \[R-\left( \left\{ -\frac{b}{2a} \right\}\cap (-\infty ,-1) \right)\]
  done clear
  View Answer play_arrow

• question_answer186) \[\int{\frac{1}{{{({{x}^{4}}+1)}^{5/4}}}}\] is equal to
  A)
   \[-\frac{4}{{{({{x}^{4}}+1)}^{1/4}}}+c\]
  done clear
  B)
   \[\frac{1}{{{({{x}^{4}}+1)}^{1/4}}}+c\]
  done clear
  C)
   \[\frac{x}{{{({{x}^{4}}+1)}^{1/4}}}+c\]
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer187) Let \[f(x)=\left\{ \begin{matrix}    |x|,\,\,for\,\,0<|x|\le 2  \\    1,\,\,\,\,\,for\,\,\,\,x=0  \\ \end{matrix} \right.\], then at \[x=0,\] \[f\] has
  A)
   a local maximum
  done clear
  B)
   a local minimum
  done clear
  C)
   no local extremum
  done clear
  D)
   no local maximum
  done clear
  View Answer play_arrow

• question_answer188) There are n different books and m copies of each in a college library. The number of ways in which a student can make a selection of one or more books is
  A)
   \[{{(m+1)}^{n}}\]
  done clear
  B)
   \[\frac{(mn)!}{{{(m!)}^{n}}}\]
  done clear
  C)
   \[^{mn}{{C}_{n}}{{\times }^{n}}{{C}_{1}}\]
  done clear
  D)
   \[{{(m+n)}^{n}}-1\]
  done clear
  View Answer play_arrow

• question_answer189) Five digited numbers with distinct digits arc formed by using the digits,\[5,4,3,2,1,0\]. The number of those numbers which are multiples  of 3, is                                 
  A)
   \[720\]            
  done clear
  B)
   \[240\]              
  done clear
  C)
   \[216\]            
  done clear
  D)
   \[120\]          
  done clear
  View Answer play_arrow

• question_answer190) If \[A+B+C=\pi ,\]then the value of         \[\left| \begin{matrix}    \sin \,(A+B+C) & \sin B & \cos \,C  \\    -\sin \,B & 0 & \tan \,A  \\    \cos \,(A+B) & -\tan \,A & 0a  \\ \end{matrix} \right|\] is
  A)
   0                                         
  done clear
  B)
   1                                       
  done clear
  C)
   2 sin B tan A cos C                      
  done clear
  D)
   None of the above                    
  done clear
  View Answer play_arrow

• question_answer191) If A and B are two matrices such that both \[A+B\]and AB are defined, then           
  A)
   A and B are of same order           
  done clear
  B)
   A is of order \[m\times m\]and B is of order \[n\times n\]
  done clear
  C)
   both A and B are of same order \[n\times n\]
  done clear
  D)
   A is of order m x n and B is of order \[n\times m\]
  done clear
  View Answer play_arrow

• question_answer192) The number of  dissimilar terms in expansion of \[{{(a+b)}^{n}}\] is \[n+1,\] therefore number of dissimilar terms of the expansion \[{{(a+b+c)}^{12}}\] is                                       
  A)
   \[13\]             
  done clear
  B)
   \[39\]
  done clear
  C)
   \[78\]            
  done clear
  D)
   \[91\]
  done clear
  View Answer play_arrow

• question_answer193) If \[|x|<1,\] then \[1+n\left( \frac{2x}{1+x} \right)+\frac{n\,\,(n+1)}{2!}\]\[{{\left( \frac{2x}{1+x} \right)}^{2}}+.......\] is equal to
  A)
   \[{{\left( \frac{2x}{1+x} \right)}^{n}}\]
  done clear
  B)
   \[{{\left( \frac{1+x}{2x} \right)}^{n}}\]
  done clear
  C)
   \[{{\left( \frac{1-x}{1+x} \right)}^{n}}\]
  done clear
  D)
   \[{{\left( \frac{1+x}{1-x} \right)}^{n}}\]
  done clear
  View Answer play_arrow

• question_answer194) Eccentricity of the curve \[{{x}^{2}}-{{y}^{2}}={{a}^{2}}\]is equal to
  A)
   \[2\]             
  done clear
  B)
   \[\sqrt{2}\]
  done clear
  C)
   \[4\]            
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer195) If forces of \[12,\text{ }5\] and \[13\] unit weight balance at a point, two of them are inclined at
  A)
   \[{{30}^{o}}\]           
  done clear
  B)
   \[{{45}^{o}}\]
  done clear
  C)
   \[{{60}^{o}}\]           
  done clear
  D)
   \[{{90}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer196) If the resultant of two forces P and Q acting on a particle is at right angle to Q, then the angle between the forces is
  A)
   \[{{\cos }^{-1}}\left( \frac{P}{Q} \right)\]
  done clear
  B)
   \[\pi -{{\cos }^{-1}}\left( \frac{Q}{P} \right)\]
  done clear
  C)
   \[\pi -{{\cos }^{-1}}\left( \frac{P}{Q} \right)\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer197) To open a lock, a key is taken out from a collection of n keys at random. If the lock is not opened with this key, it is put back into the collection and another key is tried. The process is repeated again and again. If it is given that with only one key in the collection, the lock can be opened, then the probability that the lock will open in n trials, is
  A)
   \[{{\left( \frac{1}{n} \right)}^{n}}\]
  done clear
  B)
   \[{{\left( \frac{n-1}{n} \right)}^{n}}\]
  done clear
  C)
   \[1-{{\left( \frac{n-1}{n} \right)}^{n}}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer198) The function \[f(x)=x+\frac{1}{x}\] has
  A)
   a local maxima at \[x=1\]and a local minima at \[x=-1\]
  done clear
  B)
   a local minima at \[x=1\] and a local maxima at \[x=-1\]
  done clear
  C)
   absolute maxima at \[x=1\] and absolute minima at \[x=-1\]
  done clear
  D)
   Absolute minima at \[x=1\] and absolute maxima at \[x=-1\]
  done clear
  View Answer play_arrow

• question_answer199) If the sides of a triangle are \[13,7,8,\] then the greatest angle of the triangle is
  A)
   \[\frac{\pi }{2}\]
  done clear
  B)
   \[\frac{3\pi }{2}\]
  done clear
  C)
   \[\frac{2\pi }{3}\]
  done clear
  D)
   \[\frac{\pi }{3}\]
  done clear
  View Answer play_arrow

• question_answer200) \[\underset{h\to \frac{x}{4}}{\mathop{\lim }}\,\frac{\tan \,x-1}{x-\frac{\pi }{4}}\]is equal to
  A)
   \[1\]
  done clear
  B)
   \[1/2\]
  done clear
  C)
   \[2\]
  done clear
  D)
   \[0\]
  done clear
  View Answer play_arrow

• question_answer201) \[\underset{h\to 0}{\mathop{lim}}\,\frac{\sin \,\sqrt{x+h}-\sin \,\sqrt{x}}{h}\] is equal to
  A)
   \[\cos \,\,\sqrt{x}\]
  done clear
  B)
   \[1/(2\,\sin \sqrt{x})\]
  done clear
  C)
   \[(\cos \sqrt{x})/2\sqrt{x}\]
  done clear
  D)
   \[\sin \sqrt{x}\]
  done clear
  View Answer play_arrow

• question_answer202) If \[f(x)={{x}^{2}}+4x+1,\] then
  A)
   \[f(x)=f(-x),\] for all x
  done clear
  B)
   \[f(x)\ne 1,\] for \[x=0\]
  done clear
  C)
   \[f''(x)>0,\] for all x
  done clear
  D)
   \[f(x)>1,\] for \[x\le 1\]
  done clear
  View Answer play_arrow

• question_answer203) If a, b, c are different real numbers and \[a\,\,\hat{i}+b\,\,\hat{j}+c\,\,\hat{k},\]\[b\,\,\hat{i}+c\,\,\hat{j}+a\,\,\hat{k}\] and \[c\,\,\hat{i}+a\,\,\hat{j}+b\,\,\hat{k}\]are position vectors of three non-collinear points, then
  A)
   centroid of \[\Delta ABC\] is s\[\frac{a+b+c}{3}\,(\hat{i}+\hat{j}+\hat{k})\]
  done clear
  B)
   \[(\hat{i}+\hat{j}+\hat{k})\] is not really inclined to three vectors
  done clear
  C)
   triangle ABC is a scalene triangle
  done clear
  D)
   perpendicular from the origin to the plane of the triangle does not meet it at the centroid
  done clear
  View Answer play_arrow

• question_answer204) Given four lines with equations \[x+2y-3=0,\] \[2x+3y-4=0,\] \[3x+4y-5=0,\] \[4x+5y-6=0.\] These lines are
  A)
   concurrent
  done clear
  B)
   the sides of quadrilateral
  done clear
  C)
   the sides of a parallelogram
  done clear
  D)
   the sides of a square
  done clear
  View Answer play_arrow

• question_answer205) The equations of lines through the point \[(1,\,1)\] and making angles of \[{{45}^{o}}\]with the line \[x+y=0\]are
  A)
   \[x-1=0,\,\,x-y=0\]
  done clear
  B)
   \[x-1=0,\,\,y-1=0\]
  done clear
  C)
   \[x-y=0,\,\,y-1=0\]
  done clear
  D)
   \[x+y-2=0,\,\,\,y-1=0\]
  done clear
  View Answer play_arrow

• question_answer206) If a function F is such that \[f(0)=2,\,\,F(1)=3,\] \[F(n+2)=2F(n)-F(n+1)\]for \[n\ne 0,\] then \[F(5)\] is equal to
  A)
   \[-7\]            
  done clear
  B)
   \[-3\]
  done clear
  C)
   \[7\]             
  done clear
  D)
   \[13\]
  done clear
  View Answer play_arrow

• question_answer207) If \[f(x)=\frac{1}{\sqrt{-x}},\] then domain of fof is
  A)
   \[(0,\,\,\infty )\]
  done clear
  B)
   \[(-\,\infty ,\,\,0)\]
  done clear
  C)
   \[\{0\}\]
  done clear
  D)
   \[\{\,\,\}\]
  done clear
  View Answer play_arrow

• question_answer208) If x and y are odd integers, then \[{{x}^{2}}+{{y}^{2}}\]is
  A)
   an odd integer
  done clear
  B)
   an even integer divisible by 4
  done clear
  C)
   an even integer not divisible by 4
  done clear
  D)
   None of the above
  done clear
  View Answer play_arrow

• question_answer209) The minimum value of  \[sin{{\,}^{4}}x+co{{s}^{4}}x\]is
  A)
   \[1\]            
  done clear
  B)
   \[0\]
  done clear
  C)
   \[1/2\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer210) The locus of the point of intersection of the lines  \[x\,cot\,\theta +y\,cosec\,\theta \text{=}2\]and \[x\,cosec\,\theta +y\,cot\,\theta =6\]is
  A)
   a straight line  
  done clear
  B)
   circle
  done clear
  C)
   a hyperbola    
  done clear
  D)
   an ellipse
  done clear
  View Answer play_arrow

• question_answer211) If \[2/3,\,k,\,5/8\]are in AP, find the value of k.
  A)
   \[15\]           
  done clear
  B)
   \[21\]
  done clear
  C)
   \[12\]            
  done clear
  D)
   \[31/48\]
  done clear
  View Answer play_arrow

• question_answer212) If \[x=\sqrt{3018+\sqrt{36+\sqrt{169}}},\] then the value of x is
  A)
  \[55\]           
  done clear
  B)
   \[44\]
  done clear
  C)
   \[63\]            
  done clear
  D)
   \[42\]
  done clear
  View Answer play_arrow

• question_answer213) The number of diagonals that can be drawn by joining the vertices of an octagon, is
  A)
   \[28\]           
  done clear
  B)
   \[48\]
  done clear
  C)
   \[20\]           
  done clear
  D)
   \[15\]
  done clear
  View Answer play_arrow

• question_answer214) If the fourth term in the expansion of \[{{\left( ax+\frac{1}{x} \right)}^{n}}\] is \[\frac{5}{2},\] then find the value of a and n.
  A)
   \[a=1/2\]and \[n=6\]
  done clear
  B)
   \[a=1/3\] and \[n=5\]
  done clear
  C)
   \[a=2\]and \[n=3\]
  done clear
  D)
   \[a=1/4\]and \[n=1\]
  done clear
  View Answer play_arrow

• question_answer215) If \[{{e}^{x}}=y+\sqrt{1+{{y}^{2}}},\] then the value of y is
  A)
   \[{{e}^{x}}-{{e}^{-x}}\]
  done clear
  B)
   \[\frac{1}{2}({{e}^{x}}-{{e}^{-x}})\]
  done clear
  C)
   \[{{e}^{x}}+{{e}^{-x}}\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer216) In   the   group \[G=\{1,3,7,9\}\]under multiplication modulo 10, the inverse of 7 is
  A)
   \[7\]              
  done clear
  B)
   \[3\]
  done clear
  C)
   \[9\]               
  done clear
  D)
   \[1\]
  done clear
  View Answer play_arrow

• question_answer217) If A and B are two mutually exclusive events then
  A)
   \[P(A)<P(\bar{B})\]   
  done clear
  B)
   \[P(A)>P(\bar{B})\]
  done clear
  C)
   \[P(A)<P(B)\]   
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer218) The equation of the directrix of the parabola \[{{y}^{2}}+4y+4x+2=0\] is
  A)
   \[-1\]        
  done clear
  B)
   \[x=1\]
  done clear
  C)
   \[x=-3/2\]     
  done clear
  D)
   \[x=3/2\]
  done clear
  View Answer play_arrow

• question_answer219) Let \[{{T}_{n}}\] denote 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
  A)
   \[5\]              
  done clear
  B)
   \[7\]
  done clear
  C)
   \[6\]              
  done clear
  D)
   \[4\]
  done clear
  View Answer play_arrow

• question_answer220) In a triangle ABC, \[2ca\,\sin \left( \frac{A-B+C}{2} \right)\] is equal to
  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_answer221) A fair die is tossed eight times. The probability that a third six is observed on the eight throw is
  A)
   \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\]
  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_answer222) The greatest distance of the point  from the circle \[{{x}^{2}}+{{y}^{2}}-4x-2y-20=0\]is
  A)
   \[10\]           
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  B)
   \[15\]
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  C)
    \[5\]            
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  D)
   None of these
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• question_answer223) The     vectors     \[\overrightarrow{AB}=3\hat{i}+4\hat{k}\]    and \[\overrightarrow{AC}=5\hat{i}-2\hat{j}+4\hat{k}\] are the sides of a triangle ABC. The length of the median through A is
  A)
   \[\sqrt{18}\]          
  done clear
  B)
   \[\sqrt{72}\]
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  C)
   \[\sqrt{33}\]          
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  D)
   \[\sqrt{288}\]
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• question_answer224) A particle acted on by constant forces \[4\hat{i}+\hat{j}-3\hat{k}\] and \[3\hat{i}+\hat{j}-\hat{k}\] is displaced from the point  \[\hat{i}+2\hat{j}+3\hat{k}\] to  the point \[5\hat{i}+4\hat{j}+\hat{k}\]. The total work done by the forces is
  A)
   20 unit        
  done clear
  B)
   30 unit
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  C)
   40 unit        
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  D)
   50 unit
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• question_answer225) If \[f(x)\] is a differentiable function, then \[\underset{x\to a}{\mathop{\lim }}\,\] \[\frac{a\,\,f(x)-x\,f(a)}{x-a}\] is equal to
  A)
   \[a\,\,f'(a)-f(a)\]
  done clear
  B)
   \[a\,\,f(a)-f'(a)\]
  done clear
  C)
   \[a\,\,f'(a)+f(a)\]
  done clear
  D)
   \[\,f'(a)+a\,f(a)\]
  done clear
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