KVPY Sample Paper

done KVPY Stream-SX Model Paper-5 Total Questions - 120    [Download]

• question_answer1)
  Let \[a,b,p,q\in Q\] and suppose that \[f(x)={{x}^{2}}+ax+b=0\] and \[g(x)={{x}^{3}}+px+q=0\] have a common irrational roots. Then,
  A)
  \[f(x)\text{divides}\,\text{g}\,(x)\]
  done clear
  B)
  \[g(x)=xf(x)\]
  done clear
  C)
  \[g\,(x)=(x-b-q)f(x)\]       
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer2)
                                              If \[0<\theta ,\phi <\pi /2\] and \[x=\sum\limits_{n=0}^{\infty }{{{\sin }^{2n}}\theta },y=\sum\limits_{n=0}^{\infty }{{{\cos }^{2n}}\phi }\] and \[z=\sum\limits_{n=0}^{\infty }{{{\cos }^{n}}\left( \theta +\phi  \right){{\cos }^{n}}\left( \theta +\phi  \right)},\] then
  A)
  \[xyz+1=yz-zx\]
  done clear
  B)
  \[xyz-1=yz+zx\]
  done clear
  C)
  \[xyz-xy=yz-zx\]
  done clear
  D)
  \[xyz+1=yz+zx\]
  done clear
  View Answer play_arrow

• question_answer3)
  Solution set of the inequality \[{{\log }_{3}}(x+2)(x+4)+{{\log }_{1/3}}(x+2)<\frac{1}{2}{{\log }_{\sqrt{3}}}7\] is
  A)
  \[(-2,-1)\]                     
  done clear
  B)
  \[(-2,3)\]
  done clear
  C)
  \[(-\,1,3)\]                      
  done clear
  D)
  \[(3,\infty )\]
  done clear
  View Answer play_arrow

• question_answer4)
  The number of ways in which a mixed double game can be arranged from 9 married couples if no husband and wife play in the same game is
  A)
  756                              
  done clear
  B)
  1512
  done clear
  C)
  3024                            
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer5)
  Let \[f(x):\frac{\tan \,[{{e}^{2}}]{{x}^{3}}-\tan \,[-\,{{e}^{2}}]{{x}^{3}}}{{{\sin }^{3}}x},x\ne 0\] ([.] represents greatest integer function). The value of \[f(0)\] for which \[f(x)\] is continuous, is
  A)
  15                    
  done clear
  B)
  12       
  done clear
  C)
  \[-\,12\]                         
  done clear
  D)
  14
  done clear
  View Answer play_arrow

• question_answer6)
  If \[I=\int_{0}^{\pi /2}{{{\cos }^{n}}x{{\sin }^{n}}xdx=\lambda \int_{0}^{\pi /2}{{{\sin }^{n}}xdx,}}\] then \[\lambda \] equals
  A)
  \[{{2}^{-n+1}}\]                    
  done clear
  B)
  \[{{2}^{n+1}}\]
  done clear
  C)
  \[{{2}^{-n\,-1}}\]                    
  done clear
  D)
  \[{{2}^{-\,n}}\]
  done clear
  View Answer play_arrow

• question_answer7)
  If \[x=\tan 27\theta -\tan \theta \] and \[y=\frac{\sin \theta }{\cos 3\theta }+\frac{\sin 3\theta }{\cos 9\theta }+\frac{\sin 9\theta }{\cos 27\theta },\] then
  A)
  \[x=y\]             
  done clear
  B)
  \[x+y=2\]
  done clear
  C)
  \[x=2y\]           
  done clear
  D)
  \[y=2x\]
  done clear
  View Answer play_arrow

• question_answer8)
  C is the centre of ellipse \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{9}=1\] and A and B are two points on the ellipse such that \[\angle ACB=90{}^\circ ,\] then is equal to
  A)
  \[\frac{25}{144}\]         
  done clear
  B)
  \[\frac{144}{25}\]
  done clear
  C)
  \[\frac{7}{12}\]                         
  done clear
  D)
  \[\frac{12}{7}\]
  done clear
  View Answer play_arrow

• question_answer9)
  The shortest distance from the line \[3x+4y=25\] to the circle \[{{x}^{2}}+{{y}^{2}}=6x-8y\] is equal to
  A)
  7/5       
  done clear
  B)
  9/5
  done clear
  C)
  11/5                             
  done clear
  D)
  32/5
  done clear
  View Answer play_arrow

• question_answer10)
  Let \[g(x)=\cos {{x}^{2}},\]\[f(x)=\sqrt{x}\] and \[\alpha ,\beta (\alpha <\beta )\] be the roots of the quadratic equation \[18{{x}^{2}}-9\pi x+{{\pi }^{2}}=0.\] Then, the area (in sq units) bounded by the curve \[y=(gof)(x)\] and the lines \[x=\alpha ,\]\[x=\beta \] and \[y=0\] is
  A)
  \[\frac{\sqrt{3}+1}{2}\]            
  done clear
  B)
  \[\frac{\sqrt{3}-\sqrt{2}}{2}\]
  done clear
  C)
  \[\frac{\sqrt{2}-1}{2}\]              
  done clear
  D)
  \[\frac{\sqrt{3}-1}{2}\]
  done clear
  View Answer play_arrow

• question_answer11)
  Let O be an interior point of \[\Delta ABC\] such that \[OA+2OB+3OC=O.\] Then, the ratio of area of \[\Delta ABC\] to area of\[\Delta AOC\] is
  A)
  1 : 3                             
  done clear
  B)
  3 : 1  
  done clear
  C)
  2 : 8                             
  done clear
  D)
  3 : 2
  done clear
  View Answer play_arrow

• question_answer12)
  Let \[f\,(x)=\int_{0}^{x}{\sin ({{t}^{2}}-t+x)dt,}\] then the value of \[f''\left( \frac{-1}{2} \right)+f\left( \frac{-1}{2} \right)\] is
  A)
  \[0\]                 
  done clear
  B)
  \[1\]
  done clear
  C)
  \[\frac{1}{2}\]                          
  done clear
  D)
  \[-\frac{1}{2}\]
  done clear
  View Answer play_arrow

• question_answer13)
  The positive, integer k for which \[\frac{{{k}^{2}}}{3{{k}^{3}}+500}\] is a maximum is
  A)
  5                                 
  done clear
  B)
  6      
  done clear
  C)
  7         
  done clear
  D)
  8
  done clear
  View Answer play_arrow

• question_answer14)
  The radius of an arc given by locus of z if arc \[\left( \frac{z-4i}{z-3} \right)=\frac{\pi }{3}\] is
  A)
  \[5\sqrt{3}\]                  
  done clear
  B)
  \[3\sqrt{5}\]
  done clear
  C)
  \[\frac{5}{\sqrt{3}}\]     
  done clear
  D)
  \[\frac{5}{2}\]
  done clear
  View Answer play_arrow

• question_answer15)
  In a \[\Delta ABC\] bisector of \[\angle C\] meets the side AB at D and circumcentre at E. The maximum value of \[CD\cdot DE\] is equal to
  A)
  \[\frac{{{a}^{2}}}{4}\]                                   
  done clear
  B)
  \[\frac{{{b}^{2}}}{4}\]
  done clear
  C)
  \[\frac{{{c}^{2}}}{4}\]           
  done clear
  D)
  \[\frac{{{(a+b)}^{2}}}{4}\]
  done clear
  View Answer play_arrow

• question_answer16)
  The number of integral values of k for which the equation \[7\cos x+5\sin x=2k+1\] has a solution is
  A)
  4                                 
  done clear
  B)
  8       
  done clear
  C)
  10                                
  done clear
  D)
  12
  done clear
  View Answer play_arrow

• question_answer17)
  A pair of unbiased dice is rolled together till a sum of either 5 or 7 is obtained. The probability that 5 comes before 7 is
  A)
  \[2/5\]   
  done clear
  B)
  \[3/5\]
  done clear
  C)
  \[4/5\]               
  done clear
  D)
  \[\frac{1}{5}\]
  done clear
  View Answer play_arrow

• question_answer18)
  The number of continuous function \[f:[0,1]\to [0,1],\] such that \[f(x)<{{x}^{2}}\] for all x and \[\int_{0}^{1}{f(x)dx=\frac{1}{3}}\] is
  A)
  0         
  done clear
  B)
  1
  done clear
  C)
  2                                 
  done clear
  D)
  infinite
  done clear
  View Answer play_arrow

• question_answer19)
  Let X be a set of 5 elements. The number d of ordered pairs (A, B) of subsets of X such that \[A\ne \phi ,\]\[B\ne \phi ,\]\[A\cap B=\phi \]satisfies
  A)
  \[50\le d\le 100\]
  done clear
  B)
  \[101\le d\le 150\]
  done clear
  C)
  \[151\le d\le 200\]
  done clear
  D)
  \[201\le d\]
  done clear
  View Answer play_arrow

• question_answer20)
  If \[f(x)={{(x+2019)}^{n}},\] where x is a real variable and n is a positive integer, then the value of \[f(0)+f'(0)+\frac{f''(0)}{2!}+\frac{f'''(0)}{3!}+...+\frac{{{f}^{n-1}}(0)}{(n-1)!}\]
  A)
  \[{{(2019)}^{n}}\]                   
  done clear
  B)
  \[{{(2020)}^{n}}\]
  done clear
  C)
  \[{{(2020)}^{n}}-1\]    
  done clear
  D)
  \[n\,{{(2019)}^{n}}\]
  done clear
  View Answer play_arrow

• question_answer21)
  Two infinitely long charge wires with linear densities \[\lambda \] & \[3\lambda \] are placed along x & y axis respectively determined the \[\tan \theta \] where \[\theta \] is the angle that electric field at any point on the line \[y=\sqrt{3}\,\,x\] make with positive x-axis.
  A)
  \[3\sqrt{3}\]                  
  done clear
  B)
  \[\frac{\sqrt{3}}{3\sqrt{2}}\]
  done clear
  C)
  \[\frac{1}{3\sqrt{3}}\]
  done clear
  D)
  \[\sqrt{3}\]
  done clear
  View Answer play_arrow

• question_answer22)
  In the circuit shown the cell is ideal. The coil has an inductance of 4H and zero resistance. F is a fuse of zero resistance and will blow when the current through it reaches 5A. The switch is closed at t = 0. The fuse will blow-
  A)
  After 5 sec
  done clear
  B)
  After 2 sec
  done clear
  C)
  After 10 sec
  done clear
  D)
  Just after closing of S
  done clear
  View Answer play_arrow

• question_answer23)
  A charged particle of mass m and charge q is projected into a uniform magnetic field of induction B with speed v which is perpendicular to B. The width of the magnetic field is d. The impulse imparted to fee particle by the field is \[\left( d<<\frac{mv}{qB} \right)\]
  A)
  \[qBv\]                         
  done clear
  B)
  \[\frac{mv}{qB}\]
  done clear
  C)
  \[qBd\]             
  done clear
  D)
  \[\frac{2\,m{{v}^{2}}}{qB}\]
  done clear
  View Answer play_arrow

• question_answer24)
  A ring of radius R having a linear charge density \[\lambda \] moves towards a solid imaginary sphere of radius R/2, so that the centre of ring passes through the centre of sphere. The axis of the ring is perpendicular to the line joining the centers of the ring and the sphere. The maximum flux through the sphere in this process is -
  A)
  \[\frac{\lambda R}{{{\in }_{0}}}\]                                 
  done clear
  B)
  \[\frac{\lambda R}{2{{\in }_{0}}}\]
  done clear
  C)
  \[\frac{\lambda \pi R}{4{{\in }_{0}}}\]               
  done clear
  D)
  \[\frac{\lambda \pi R}{3{{\in }_{0}}}\]
  done clear
  View Answer play_arrow

• question_answer25)
  Three point A, B & C are at a distance of 1 m, 2 m & 1 m from an infinitely long charged wire of linear charge density \[\lambda \,\,C/m.\] A charge q is taken from A to B, B to C and finally C to A. Which of the following is/are correct about the work done in the above process -
  A)
  \[{{W}_{AB}}=2\,\,{{W}_{BC}}\]                   
  done clear
  B)
  \[{{W}_{AB}}=-\,{{W}_{BC}}\]
  done clear
  C)
  \[{{W}_{BC}}=0\]                   
  done clear
  D)
  \[{{W}_{AB}}=0\]
  done clear
  View Answer play_arrow

• question_answer26)
  A particle of charge Q and of negligible initial speed is accelerated through a potential difference of U. The particle reaches a region of uniform magnetic field of induction B, where it undergoes circular motion. If potential difference is doubled and B is also doubled then magnetic moment of the circular current due to circular motion of charge Q will become -
  A)
  Double             
  done clear
  B)
  half
  done clear
  C)
  four times                     
  done clear
  D)
  remain same
  done clear
  View Answer play_arrow

• question_answer27)
  A infinitely long line charge of charge density \[\lambda \] lies along the x axis and let the surface of zero potential passes through (0, 5, 12) m. The potential at point \[(2,3,-\,4)\] is -
  A)
  \[\frac{\lambda }{2\pi {{\in }_{0}}}\,\,\ell n\,\,\frac{13}{5}\]       
  done clear
  B)
  \[\frac{2\lambda }{\pi {{\in }_{0}}}\,\,\ell n\,\,\frac{13}{3}\]
  done clear
  C)
  \[\frac{\lambda }{4\pi {{\in }_{0}}}\,\,\ell n\,\,\frac{13}{5}\]       
  done clear
  D)
  \[-\,\frac{\lambda }{2\pi {{\in }_{0}}}\,\,\ell n\,\,\frac{13}{5}\]
  done clear
  View Answer play_arrow

• question_answer28)
  A sample of radioactive material decays simultaneously by two processes A & B with half lives \[\frac{1}{2}\] & \[\frac{1}{4}hr\] respectively. For first half hr it decays with the process A, next one \[hr\] with the process B & for further half an hour with both A & B. If originally there were \[{{N}_{0}}\] nuclei the number of nuclei after 2 hr of such decay \[{{N}_{0}}{{\left( \frac{1}{2} \right)}^{a}}\] find the value of a -
  A)
  2                                 
  done clear
  B)
  4    
  done clear
  C)
  8         
  done clear
  D)
  1
  done clear
  View Answer play_arrow

• question_answer29)
  Two mutually perpendicular infinitely long lines of charge having charge per unit length as \[{{\lambda }_{1}}\] and \[{{\lambda }_{2}}\] are located in air at a distance "a" from each other. The force of interaction between them is -
  A)
  \[\frac{{{\lambda }_{1}}{{\lambda }_{2}}}{4{{\in }_{0}}\pi a}\]                      
  done clear
  B)
  \[\frac{{{\lambda }_{1}}{{\lambda }_{2}}}{\pi a{{\in }_{0}}}\]
  done clear
  C)
  \[\frac{{{\lambda }_{1}}{{\lambda }_{2}}}{2{{\in }_{0}}\pi a}\]          
  done clear
  D)
  \[\frac{{{\lambda }_{1}}{{\lambda }_{2}}}{3\pi a{{\in }_{0}}}\]
  done clear
  View Answer play_arrow

• question_answer30)
  In figure \[{{C}_{1}}=2\mu F,\] \[{{C}_{2}}=6\mu F\] & \[{{C}_{3}}=3.5\mu F.\] If break down voltages of the individual capacitors are \[{{V}_{1}}\text{ }=\text{ }100V,\]\[{{V}_{2}}\text{ }=\text{ 5}0V,\] & \[{{V}_{3}}\text{ }=\text{ 40}0V,\]What maximum voltage can be placed across points a & b-
  A)
  124 V               
  done clear
  B)
  133 V
  done clear
  C)
  100 V               
  done clear
  D)
  200 V
  done clear
  View Answer play_arrow

• question_answer31)
  When a free neutron decays to form a proton and an electron, then choose the incorrect statement.
  A)
  The reaction may be expressed as \[\,{{\,}_{0}}{{n}^{1}}\to \,{{\,}_{1}}{{p}^{1}}+\,{{\,}_{-1}}{{e}^{0}}\]
  done clear
  B)
  Every electron comes out with the same energy
  done clear
  C)
  The electron shares the major part of the energy released
  done clear
  D)
  All the above
  done clear
  View Answer play_arrow

• question_answer32)
  When light of intensity \[{{I}_{1}}\] & frequency \[{{v}_{1}}\] is incident on a substance. Photo electric emission take place and variation potential (V) is as shown by curve (1) in the figure. However, if light of intensity \[{{I}_{2}}\] & frequency \[{{v}_{2}}\] falls on the same substance, photo electric current varies with potential as shown by curve (2) which of the following is correct -
  A)
  \[{{I}_{1}}={{I}_{2}},\] \[{{v}_{1}}={{v}_{2}}\]      
  done clear
  B)
  \[{{I}_{1}}>{{I}_{2}},\] \[{{v}_{1}}>{{v}_{2}}\]
  done clear
  C)
  \[{{I}_{1}},>{{I}_{2}},\] \[{{v}_{1}}<{{v}_{2}}\]     
  done clear
  D)
  \[{{I}_{1}},<{{I}_{2}},\] \[{{v}_{1}}<{{v}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer33)
  Two sources of emf 6V and internal resistance \[3\,\Omega \] and \[2\Omega \] are connected to an external resistance R as shown. If potential difference across battery A is zero then value of R is -
  A)
  \[1\Omega \]                 
  done clear
  B)
  \[2\Omega \] 
  done clear
  C)
  \[3\Omega \]                             
  done clear
  D)
  \[4\Omega \]
  done clear
  View Answer play_arrow

• question_answer34)
  A wire PQRS carrying a current I run along three edges of a cube of side \[\ell \] as shown. There exists a uniform magnetic field of magnitude B along one of the sides of the cube. The magnitude of the force acting on the wire is ?
  A)
  Zero                             
  done clear
  B)
  \[I\ell B\]
  done clear
  C)
  \[\sqrt{2}\,I\ell B\]          
  done clear
  D)
  \[2\ell B\]
  done clear
  View Answer play_arrow

• question_answer35)
  In the circuit of following figure, the final voltage drop across the capacitor C is -
  A)
  \[\frac{V{{r}_{1}}}{{{r}_{1}}+{{r}_{2}}}\]                
  done clear
  B)
  \[\frac{V{{r}_{2}}}{{{r}_{1}}+{{r}_{2}}}\]
  done clear
  C)
  \[\frac{V({{r}_{1}}+{{r}_{2}})}{{{r}_{2}}}\]              
  done clear
  D)
  \[\frac{V({{r}_{2}}+{{r}_{1}})}{{{r}_{1}}+{{r}_{2}}+{{r}_{3}}}\]
  done clear
  View Answer play_arrow

• question_answer36)
  A particle is projected form the ground with an initial velocity of 20 m/s at an angle of \[30{}^\circ \]with horizontal. The magnitude of change in velocity in a time interval from t = 0 to t = 0.5 s is \[(g=10m/{{s}^{2}})\]
  A)
  5 m/s
  done clear
  B)
  2.5 m/s
  done clear
  C)
  2 m/s               
  done clear
  D)
  4 m/s
  done clear
  View Answer play_arrow

• question_answer37)
  A smooth square platform ABCD is moving towards right with a uniform speed \[v.\] At what angle \[\theta \] must a particle be projected from A with speed \[u\]so that it strikes the point B ?
  A)
  \[{{\sin }^{-1}}\left( \frac{u}{v} \right)\]            
  done clear
  B)
  \[{{\cos }^{-1}}\left( \frac{v}{u} \right)\]
  done clear
  C)
  \[{{\cos }^{-1}}\left( \frac{u}{v} \right)\]                       
  done clear
  D)
  \[{{\sin }^{-1}}\left( \frac{v}{u} \right)\]
  done clear
  View Answer play_arrow

• question_answer38)
  A particle moves in space along the path \[z=a{{x}^{3}}+6{{y}^{2}}\] in such a way that \[\frac{dx}{dt}=c=\frac{dy}{dt}\] where a, b and c are constants. The acceleration of the particle is -
  A)
  \[\pi \]               
  done clear
  B)
  \[(2a{{x}^{2}}x+6b{{y}^{2}})\,\,\hat{k}\]
  done clear
  C)
  \[(4b{{c}^{2}}x+3a{{c}^{2}})\,\,\hat{k}\]     
  done clear
  D)
  \[(4{{c}^{2}}x+2b{{y}^{2}})\,\,\hat{k}\]
  done clear
  View Answer play_arrow

• question_answer39)
  A particle moves on a rough horizontal ground with some initial velocity say \[{{v}_{0}}.\] If 3/4th of its kinetic energy is lost in friction in time \[{{t}_{0}}.\] Then coefficient of friction between the particle and the ground is -
  A)
  \[\frac{{{v}_{0}}}{2g{{t}_{0}}}\]        
  done clear
  B)
  \[\frac{{{v}_{0}}}{4g{{t}_{0}}}\]
  done clear
  C)
  \[\frac{3{{v}_{0}}}{4g{{t}_{0}}}\]                  
  done clear
  D)
  \[\frac{{{v}_{0}}}{g{{t}_{0}}}\]
  done clear
  View Answer play_arrow

• question_answer40)
  Two blocks of equal mass are tied with a light string, which passes over a massless pulley as shown in figure. The magnitude of acceleration of centre of mass of both the blocks is (neglect friction everywhere, inclined wedge is fixed at floor) -
  A)
  \[\left( \frac{\sqrt{3}-1}{4\sqrt{2}} \right)g\]         
  done clear
  B)
  \[(\sqrt{3}-1)g\]
  done clear
  C)
  \[\frac{g}{2}\]                           
  done clear
  D)
  \[\left( \frac{\sqrt{3}-1}{\sqrt{2}} \right)g\]
  done clear
  View Answer play_arrow

• question_answer41)
  The lanthanide ion that would show colour is:
  A)
  \[L{{a}^{3+}}\]                     
  done clear
  B)
  \[G{{d}^{3+}}\]
  done clear
  C)
  \[S{{m}^{3+}}\]        
  done clear
  D)
  \[L{{u}^{3+}}\]
  done clear
  View Answer play_arrow

• question_answer42)

  Given that \[E_{{{O}_{2}}/{{H}_{2}}O}^{\Theta }=+1.23\,V;E_{{{S}_{2}}O_{8}^{2\,-}}^{\Theta }=2.05V\]

  \[E_{B{{r}_{2}}/B{{r}^{\,-}}}^{\Theta }=+1.09\,V;E_{A{{u}^{3+}}/Au}^{\Theta }=+1.4V\]

  The strongest oxidizing agent is:

  A)
  \[{{S}_{2}}O_{8}^{2-}\]        
  done clear
  B)
  \[{{O}_{2}}\]
  done clear
  C)
  \[A{{u}^{3+}}\]                     
  done clear
  D)
  \[B{{r}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer43)
  The size of the iso-electronic species \[C{{1}^{-}},\]\[Ar\] and \[C{{a}^{2+}}\] is affected by:
  A)
  nuclear charge
  done clear
  B)
  azimuthal quantum number of valence shell
  done clear
  C)
  electron-electron interaction in the outer orbitals
  done clear
  D)
  principal quantum number of valence shell
  done clear
  View Answer play_arrow

• question_answer44)
  Element 'B' forms \[ccp\] structure and 'A' occupies half the octahedral voids, while oxygen atoms occupy the tetrahedral voids. The structure of bimetallic oxide is:
  A)
  \[{{A}_{2}}B{{O}_{4}}\]                    
  done clear
  B)
  \[{{A}_{4}}{{B}_{2}}O\]
  done clear
  C)
  \[A{{B}_{2}}{{O}_{4}}\]        
  done clear
  D)
  \[{{A}_{2}}{{B}_{2}}O\].
  done clear
  View Answer play_arrow

• question_answer45)
  The correct order of hydration enthalpies of alkali metal is :
  A)
  \[Li>N{{a}^{+}}>{{K}^{+}}>R{{b}^{+}}>C{{s}^{+}}\]
  done clear
  B)
  \[N{{a}^{+}}>L{{i}^{+}}>{{k}^{+}}>R{{b}^{+}}>C{{s}^{+}}\]
  done clear
  C)
  \[L{{i}^{+}}>N{{a}^{+}}>{{K}^{+}}>C{{s}^{+}}>R{{b}^{+}}\]
  done clear
  D)
  \[N{{a}^{+}}>L{{i}^{+}}>{{K}^{+}}>C{{s}^{+}}>R{{b}^{+}}\]
  done clear
  View Answer play_arrow

• question_answer46)
  Diborane \[({{B}_{2}}{{H}_{6}})\]reacts independently with \[{{O}_{2}}\]and \[{{H}_{2}}O\] produce, respectively:
  A)
  \[{{H}_{3}}B{{O}_{3}}\] and \[{{B}_{2}}{{O}_{3}}\]
  done clear
  B)
  \[{{B}_{2}}{{O}_{3}}\] and \[{{H}_{3}}B{{O}_{3}}\]
  done clear
  C)
  \[{{B}_{2}}{{O}_{3}}\] and \[{{[B{{H}_{4}}]}^{\,-}}\]
  done clear
  D)
  \[HB{{O}_{2}}\] and \[{{H}_{3}}B{{O}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer47)
                          Adorption of a gas follows Freundlich adsorption isotherm. \[x\] is the mass of the gas adsorbed on mass m of the adsorbent. The plot of \[\log \frac{x}{m}\] versus log p is in the given graph. \[\frac{x}{m}\] is proportional to:
  A)
  \[{{p}^{3/2}}\]                                   
  done clear
  B)
  \[{{p}^{2/3}}\]
  done clear
  C)
         \[{{p}^{3}}\]                          
  done clear
  D)
  \[{{p}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer48)

  The quantum number of four electrons are given below:

  (I) \[n=4\], \[l=2\], \[{{m}_{1}}=1,\]\[{{m}_{s}}=-\frac{1}{2}\]

  (II) \[n=3\], \[l=2\], \[{{m}_{1}}=1,\] \[{{m}_{s}}=+\frac{1}{2}\]

  (III) \[n=4\], \[l=1\], \[{{m}_{1}}=0,\]\[{{m}_{s}}=+\frac{1}{2}\]

  (IV) \[n=3\], \[l=1\], \[{{m}_{1}}=1,\] \[{{m}_{s}}=-\frac{1}{2}\]

  The Correct order of their increasing energies will be:

  A)
  \[I<III<II<IV\]  
  done clear
  B)
  \[IV<II<III<I\]
  done clear
  C)
  \[I<II<III<IV\]  
  done clear
  D)
  \[IV<III<II<I\]  
  done clear
  View Answer play_arrow

• question_answer49)
  In order to oxidise a mixture of one mole of each of \[Fe{{C}_{2}}{{O}_{4}},\] \[F{{e}_{2}}({{C}_{2}}{{O}_{4}})3,\] \[FeS{{O}_{4}}\] and \[F{{e}_{2}}{{(S{{O}_{4}})}_{3}}\] in acidic medium, the number of moles of \[KMn{{O}_{4}}\]required is :
  A)
  2                     
  done clear
  B)
  1
  done clear
  C)
  1.5                               
  done clear
  D)
  3
  done clear
  View Answer play_arrow

• question_answer50)
  Coupling of benzene diazonium chloride with 1-naphthol in alkaline medium will give:
  A)
          
  done clear
  B)
        
  done clear
  C)
                      
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer51)
  The major product of the following reaction is:
  A)
                   
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer52)
  Which one of the following equations does not correctly represent the first law of thermodynamics for the given processes involving an ideal gas? (Assume non-expansion work is zero)
  A)
  Adiabatic process : \[\Delta U=-\,W\]
  done clear
  B)
  Cyclic process : \[q=-\,W\]
  done clear
  C)
  Isothermal process : \[q=-W\]
  done clear
  D)
  Isochoric process : \[\Delta U=q\]
  done clear
  View Answer play_arrow

• question_answer53)
  The vapour pressures of pure liquids A and B are 400 and 600 mm Hg, respectively at 298 K. On mixing the two liquids, the sum of their initial volumes is equal to the volume of the final mixture. The mole fraction of liquid B is 0.5 in the mixture. The vapour pressure of the final solution, the mole fractions of components A and B in vapour phase, respectively are:
  A)
  500 mm Hg, 0.5, 0.5
  done clear
  B)
  450 mm Hg, 0.5, 0.5
  done clear
  C)
  500 mm Hg. 0.4, 0.6
  done clear
  D)
  450 mm Hg, 0.4, 0.6
  done clear
  View Answer play_arrow

• question_answer54)
  The IUPAC name of the following compound is:
  A)
  4,4- Dimethyl-3-hydroxybutanoic acid
  done clear
  B)
  2-Methyl-3-hydroxypentan-5-oic acid
  done clear
  C)
  4-Methyl-3-hydroxypentanoic acid
  done clear
  D)
  3-Hydroxy-4-methylpentanoic acid
  done clear
  View Answer play_arrow

• question_answer55)
  With respect to an ore, Ellingham diagram helps to predict the feasibility of its:
  A)
  Electrolysis                    
  done clear
  B)
  Thermal reduction
  done clear
  C)
  Zone refining                 
  done clear
  D)
  Vapour phase refining
  done clear
  View Answer play_arrow

• question_answer56)
  The correct order of the spin-only magnetic moment of metal ions in the following low spin complexes, \[{{[V{{\left( CN \right)}_{6}}]}^{4\,-}},\] \[{{[Fe{{\left( CN \right)}_{6}}]}^{4\,-}},\] \[{{[Ru{{(N{{H}_{3}})}_{6}}]}^{3\,+}},\] and \[[Cr{{\left( N{{H}_{3}} \right)}_{6}}^{2+}]\] is :
  A)
  \[{{V}^{2+}}>C{{r}^{2+}}>R{{u}^{3+}}>F{{e}^{2+}}\]
  done clear
  B)
  \[{{V}^{2+}}>R{{u}^{3+}}>C{{r}^{2+}}>F{{e}^{2+}}\]
  done clear
  C)
  \[C{{r}^{2+}}>R{{u}^{3+}}>F{{e}^{2+}}>{{V}^{2+}}\]
  done clear
  D)
  \[C{{r}^{2+}}>{{V}^{2+}}>R{{u}^{3+}}>F{{e}^{2+}}\]
  done clear
  View Answer play_arrow

• question_answer57)
  In the following compounds, the decreasing order of basic strength will be:
  A)
  \[{{C}_{2}}{{H}_{5}}N{{H}_{2}}>N{{H}_{3}}>{{\left( {{C}_{2}}{{H}_{5}} \right)}_{2}}NH\]
  done clear
  B)
  \[N{{H}_{3}}>{{C}_{2}}{{H}_{5}}N{{H}_{2}}>{{\left( {{C}_{2}}{{H}_{5}} \right)}_{2}}NH\]
  done clear
  C)
  \[\left( {{C}_{2}}{{H}_{5}} \right)NH>N{{H}_{3}}>{{C}_{2}}{{H}_{5}}N{{H}_{2}}\]
  done clear
  D)
  \[{{\left( {{C}_{2}}{{H}_{5}} \right)}_{2}}NH>{{C}_{2}}{{H}_{5}}N{{H}_{2}}>N{{H}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer58)

  Assertion : Ozone is destroyed by CFCs in the upper stratosphere.

  Reason : Ozone holes increase the amount of UV radiation reaching the earth.

  A)
  Assertion is false, but the reason is correct
  done clear
  B)
  Assertion and reason are incorrect
  done clear
  C)
  Assertion and reason are both correct, and reason is the correct explanation for the assertion
  done clear
  D)
  Assertion and reason are correct, but the reason not the explanation for the assertion
  done clear
  View Answer play_arrow

• question_answer59)
  An organic compound neither reacts with neutral ferric chloride solution nor Fehling solution. It however, reacts with Grignard reagent and gives iodoform test. The compound is:
  A)
     
  done clear
  B)
  
  done clear
  C)
    
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer60)
  For the reaction \[2A+B\to C,\] the values of initial at different reactant concentrations are given in table below. The rate law for the reaction is:

  [A]	\[(mol\,{{L}^{-\,1}})\]	[B]	\[(mol\,{{L}^{-\,1}})\]	Initial Rate	\[(mol\,L{{\,}^{-\,1}}s{{\,}^{-1}})\]
  	0.05		0.05		0.045
  	0.10		0.05		0.090
  	0.20		0.10		0.75

  A)
          Rate = \[k[A][B]\]          
  done clear
  B)
  Rate = \[k[A]{{[B]}^{2}}\]
  done clear
  C)
         Rate = \[k{{[A]}^{2}}{{[B]}^{2}}\]   
  done clear
  D)
  Rate =\[k{{[A]}^{2}}[B]\]
  done clear
  View Answer play_arrow

• question_answer61)
  Plants that have nectorless, scentless flowers containing pollen grains coated by mucilage, are pollinated by
  A)
  Bird                             
  done clear
  B)
  Wind
  done clear
  C)
  Water   
  done clear
  D)
  Insects
  done clear
  View Answer play_arrow

• question_answer62)
  Restriction endonucleases are enzymes that cleave DNA molecules into smaller fragments. Which type of bond do they act on?
  A)
  N-glycosidic Bond
  done clear
  B)
  Phosphodiester bond
  done clear
  C)
  Hydrogen bond
  done clear
  D)
  Disulfide bond
  done clear
  View Answer play_arrow

• question_answer63)
  The first stable product of fixation of atmospheric nitrogen in leguminous plants is:
  A)
  Ammonia         
  done clear
  B)
  \[NO_{3}^{-}\]
  done clear
  C)
  Glutamate                    
  done clear
  D)
  \[NO_{2}^{-}\]
  done clear
  View Answer play_arrow

• question_answer64)
  Besides paddy fields, cyanobacteria are also found inside vegetative part of:
  A)
  Cycas   
  done clear
  B)
  Equisetum
  done clear
  C)
  Psilotum                       
  done clear
  D)
  Pinus
  done clear
  View Answer play_arrow

• question_answer65)
  Which of the metabolites is common to respiration mediated breakdown of fats, carbohydrates and proteins?
  A)
  Frutose 1, 6-bisphosphate
  done clear
  B)
  Pyruvic acid
  done clear
  C)
  Acetyl CoA
  done clear
  D)
  Glucose-6-phosphate
  done clear
  View Answer play_arrow

• question_answer66)
  Gobar gas is produced by the activity of
  A)
  Pseudomonas    
  done clear
  B)
  Bacillus
  done clear
  C)
  Methanogens                 
  done clear
  D)
  Cyanobacteria
  done clear
  View Answer play_arrow

• question_answer67)
  Mitochondria are associated with all of the following functions, EXCEPT:
  A)
  ATP synthesis
  done clear
  B)
  DNA synthesis
  done clear
  C)
  Protein synthesis
  done clear
  D)
  Protein glycosylation
  done clear
  View Answer play_arrow

• question_answer68)
  Meiosis takes place in:
  A)
  Conidia            
  done clear
  B)
  Gemmule
  done clear
  C)
  Megaspore                    
  done clear
  D)
  Meiocyte
  done clear
  View Answer play_arrow

• question_answer69)
  The complex formed by a pair of synapsed homologous chromosomes is called
  A)
  Kinetochore                   
  done clear
  B)
  Bivalent
  done clear
  C)
  Axoneme                      
  done clear
  D)
  Equatorial plate
  done clear
  View Answer play_arrow

• question_answer70)
  The Golgi complex plays a major role:
  A)
  in digesting proteins and carbohydrates
  done clear
  B)
  as energy transferring organelles
  done clear
  C)
  in post translational modification of proteins and glycosidation of lipids
  done clear
  D)
  in trapping the light and transforming it into chemical energy
  done clear
  View Answer play_arrow

• question_answer71)
  Match column I with column II

  	Column I		Column II
  [a]	Smack	(p)	Erythroxyl on Coca
  [b]	Morphine	(q)	Sedative & Painkiller
  [c]	Cannabinoids	(r)	Diacetylmorphine
  [d]	Crack	(s)	Marijuana

  A)
  a\[\to \]p, b\[\to \]s, c\[\to \]q, d\[\to \]r
  done clear
  B)
  a\[\to \]r, b\[\to \]q, c\[\to \]s, d\[\to \]p
  done clear
  C)
  a\[\to \]r, b\[\to \]s, c\[\to \]p, d\[\to \]q
  done clear
  D)
  a\[\to \]r, b\[\to \]q, c\[\to \]p, d\[\to \]q
  done clear
  View Answer play_arrow

• question_answer72)
  Find out wrong pair.
  A)

  Spermatozoa

  -

  Sperm

  done clear
  B)

  Interstitial cell

  -

  Leydig cells

  done clear
  C)

  Follicular phase

  -

  Secretory phase

  done clear
  D)

  Spermatogonia

  -

  Male germs cell

  done clear
  View Answer play_arrow

• question_answer73)
  Match column I with column II

  [a]	IUDS	(i)	Absence of menstruation
  [b]	Condoms	(ii)	Lippe's loop , Cu - T, multiload 375
  [c]	Lactational amenorrhea	(iii)	Made of thin rubber/latex
  [d]	Saheli	(iv)	oral contraceptive

  A)
  a\[\to \]i, b\[\to \]iii, c\[\to \]ii, d\[\to \]iv
  done clear
  B)
  a\[\to \]iii, b\[\to \]i, c\[\to \]ii, d\[\to \]iv
  done clear
  C)
  a\[\to \]ii, b\[\to \]iii, c\[\to \]i, d\[\to \]iv
  done clear
  D)
  a\[\to \]i, b\[\to \]ii, c\[\to \]iii, d\[\to \]iv
  done clear
  View Answer play_arrow

• question_answer74)
  Globulins contained in human blood plasma are primarily involved in
  A)
  defence mechanisms of body
  done clear
  B)
  osmotic balance of body fluid
  done clear
  C)
  oxygen transpart in the blood
  done clear
  D)
  clotting of blood
  done clear
  View Answer play_arrow

• question_answer75)
  Acquired immunity is due to
  A)
  physiological & inflammatory barrier
  done clear
  B)
  Lymphocyte
  done clear
  C)
  erythrocytes
  done clear
  D)
  NK-cells
  done clear
  View Answer play_arrow

• question_answer76)
  Match column 1 with column II

  	Column I		Column II
  [a]	Kwashiorkor	(i)	Iron
  [b]	General Anemia	(ii)	Biotin
  [c]	Dermatitis	(iii)	Protein
  [d]	Pellagra	(iv)	Niacin

  A)
  a\[\to \](iv), b\[\to \](i), c\[\to \](ii), d\[\to \](iii)
  done clear
  B)
  a\[\to \](ii), b\[\to \](i), c\[\to \](iii), d\[\to \](iv)
  done clear
  C)
  a\[\to \](iii), b\[\to \](i), c\[\to \](ii), d\[\to \](iv)
  done clear
  D)
  a\[\to \](i), b\[\to \](iii), c\[\to \](ii), d\[\to \](iv)
  done clear
  View Answer play_arrow

• question_answer77)
  In ELISA TEST substance used is
  A)
  Peroxidase
  done clear
  B)
  Polymerase
  done clear
  C)
  Ligase              
  done clear
  D)
  Endonuclease
  done clear
  View Answer play_arrow

• question_answer78)
  Match the scientists listed under column 'A with ideas listed column 'B'.

  	Column A		Column B
  i.	Darwin	m.	Abiogenesis
  ii.	Oparin	n.	Use and disuse of organs
  iii.	Lamarck	o.	Continental drift theory
  iv.	Wagner	p.	Evolution by natural selection

  A)
  i\[\to \]m, ii\[\to \]p, iii\[\to \]n, iv\[\to \]o
  done clear
  B)
  i\[\to \]p, ii\[\to \]m, iii\[\to \]n, iv\[\to \]o
  done clear
  C)
  i\[\to \]n, ii\[\to \]p, iii\[\to \]o, iv\[\to \]m
  done clear
  D)
  i\[\to \]p, ii\[\to \]o, iii\[\to \]n, iv\[\to \]m
  done clear
  View Answer play_arrow

• question_answer79)
  Viviparity is considered to be more evolved because:
  A)
  the young ones are left on their own
  done clear
  B)
  the young ones are protected by a thick shell
  done clear
  C)
  the young ones are protected inside the mother's body and are looked after they are born leading to more chances of survival
  done clear
  D)
  the embryo takes a long time to develop
  done clear
  View Answer play_arrow

• question_answer80)
  The cranial capacity of Java ape man was about
  A)
  560 c.c.            
  done clear
  B)
  900 c.c.
  done clear
  C)
  1,300 c.c.                     
  done clear
  D)
  1,000 c.c.
  done clear
  View Answer play_arrow

• question_answer81)
  If \[{{a}^{2}}+{{b}^{2}}=7\] and \[{{a}^{3}}+{{b}^{3}}=10,\] then the maximum value of \[|a+b|\] is
  A)
  4                                 
  done clear
  B)
  5      
  done clear
  C)
  6                                 
  done clear
  D)
  3
  done clear
  View Answer play_arrow

• question_answer82)
  The area of the portion common to \[y={{\sin }^{-\,1}}(\sin x)\] and \[y=[{{\sin }^{-1}}(\sin x)]\] in \[[0,\pi ],\]here \[[\cdot ]\]denotes the greatest integer function is
  A)
  \[{{(\pi -2)}^{2}}\]                  
  done clear
  B)
  \[\frac{{{(\pi -2)}^{2}}}{2}\]
  done clear
  C)
  \[\frac{{{(\pi -2)}^{2}}}{4}\]   
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer83)
  If \[{{I}_{1}}=\int_{0}^{1}{\frac{{{e}^{x}}}{x+3}dx}\] and \[{{I}_{2}}=\int_{0}^{1}{\frac{{{x}^{3}}}{{{e}^{{{x}^{4}}}}(4-{{x}^{4}})}dx,}\] then \[\frac{{{I}_{1}}}{{{I}_{2}}}\] is
  A)
  \[4\]                             
  done clear
  B)
  \[4e\]
  done clear
  C)
  \[3e\]                            
  done clear
  D)
  \[2e\]
  done clear
  View Answer play_arrow

• question_answer84)
  If \[\sin \alpha +cos\beta =\frac{1}{\sqrt{2}}\] and \[\cos \alpha +\sin \beta =\sqrt{\frac{2}{3}},\] then the value of \[\tan \left( \frac{\alpha -\beta }{2} \right)\] is
  A)
  \[3\sqrt{3}-6\]               
  done clear
  B)
  \[\sqrt{3}-2\]
  done clear
  C)
  \[4\sqrt{3}-7\]   
  done clear
  D)
  \[4\sqrt{3}+7\]
  done clear
  View Answer play_arrow

• question_answer85)
  The digit in the unit place of \[{{15}^{981}}+{{9}^{789}}-{{6}^{50}}\] is
  A)
  8                     
  done clear
  B)
  6       
  done clear
  C)
  8                                 
  done clear
  D)
  9
  done clear
  View Answer play_arrow

• question_answer86)
  A die is so loaded that the probability of throwing a number is proportional to \[{{K}^{2}}.\] Then the probability that the number 3 appears given that when the die is rolled the number turned up is not even is equal to
  A)
  \[\frac{9}{70}\]                         
  done clear
  B)
  \[\frac{35}{91}\]
  done clear
  C)
  \[\frac{9}{91}\]                         
  done clear
  D)
  \[\frac{9}{35}\]
  done clear
  View Answer play_arrow

• question_answer87)
  The circle \[{{x}^{2}}+{{y}^{2}}-8x=0\] and hyperbola \[\frac{{{x}^{2}}}{9}-\frac{{{y}^{2}}}{4}=1.\] The equation of a common tangent with positive slope to the circle as well as to the hyperbola is
  A)
  \[2x-\sqrt{5}y-20=0\]     
  done clear
  B)
  \[2x-\sqrt{5}y+4=0\]
  done clear
  C)
  \[3x-4y+8=0\]  
  done clear
  D)
  \[4x-3y+4=0\]
  done clear
  View Answer play_arrow

• question_answer88)
  Two vertices of a triangle are \[(5,-1)\] and \[(-\,2,3)\] if orthocenter of the triangle is origin, then the coordinate of third vertex is
  A)
  \[(4,7)\]             
  done clear
  B)
  \[(3,7)\]
  done clear
  C)
  \[(-4,-7)\]           
  done clear
  D)
  \[(4,-\,7)\]
  done clear
  View Answer play_arrow

• question_answer89)
  Which of the following intervals is a possible domain of the function \[f\,(x)={{\log }_{\{x\}}}[x]+{{\log }_{\{x\}}}\{x\}?\] Where [x] is the greatest integer function and {x} is the fractional part of x.
  A)
  (0, 1)                
  done clear
  B)
  (1, 2)
  done clear
  C)
  (2, 3)    
  done clear
  D)
  (3, 6)
  done clear
  View Answer play_arrow

• question_answer90)
  If \[f:R\to R\] is a differentiable function \[f(1)=4.\] Then, the value of \[\underset{x\to 1}{\mathop{\lim }}\,\int_{4}^{f(x)}{\frac{2t}{x-1}}dt\]
  A)
  \[8f'(1)\]
  done clear
  B)
  \[4f'(1)\]
  done clear
  C)
  \[2f'(1)\]            
  done clear
  D)
  \[f'(1)\]
  done clear
  View Answer play_arrow

• question_answer91)
  The spring block system as shown in figure is in equilibrium. The string connecting blocks A and B is cut. The mass of all the three blocks is m and spring constant of both the spring is k. The amplitude of resulting oscillation of block A is (string massless)
  A)
  \[\frac{mg}{k}\]            
  done clear
  B)
  \[\frac{2mg}{k}\]
  done clear
  C)
  \[\frac{3mg}{k}\]                      
  done clear
  D)
  \[\frac{4mg}{k}\]
  done clear
  View Answer play_arrow

• question_answer92)
  The plates of small size of a parallel plate capacitor are charged as shown. The force on the charged particle of 'q' at a distance \[\ell \] from the capacitor is : (Assume that the distance between the plates is \[d<<\ell )\]
  A)
  Zero                 
  done clear
  B)
  \[\frac{Qqd}{2\pi {{\in }_{0}}{{\ell }^{3}}}\]
  done clear
  C)
  \[\frac{Qqd}{\pi {{\in }_{0}}{{\ell }^{3}}}\]                
  done clear
  D)
  \[\frac{Qqd}{4\pi {{\in }_{0}}{{\ell }^{3}}}\]
  done clear
  View Answer play_arrow

• question_answer93)
  A charged particle of specific charge (charge/mass) a is the projected from origin with a velocity \[\vec{u}={{v}_{0}}(\hat{i}+\hat{j})\] in a uniform and constant magnetic field \[\vec{B}={{B}_{0}}\hat{i}.\] The position co-ordinates of the particle at time \[t=\frac{\pi }{{{B}_{0}}\alpha }\] are -
  A)
  \[\left( \frac{{{v}_{0}}}{2{{B}_{0}}\alpha },\frac{\sqrt{2}{{v}_{0}}}{\alpha {{B}_{0}}},\frac{-{{v}_{0}}}{{{B}_{0}}\alpha } \right)\]
  done clear
  B)
  \[\left( -\frac{{{v}_{0}}}{2{{B}_{0}}\alpha },0,0 \right)\]
  done clear
  C)
  \[\left( 0,\frac{2{{v}_{0}}}{{{B}_{0}}\alpha },\frac{{{v}_{0}}\pi }{2{{B}_{0}}\alpha } \right)\]
  done clear
  D)
  \[\left( \frac{{{v}_{0}}\pi }{{{B}_{0}}\alpha },0,\frac{-2{{v}_{0}}}{{{B}_{0}}\alpha } \right)\]
  done clear
  View Answer play_arrow

• question_answer94)
  In the circuit shown switch S is connected to position 2 for a long time and then joined to position 1. The total heat produced in resistance \[{{R}_{1}}\] is -
  A)
  \[\frac{L{{E}^{2}}}{2R_{2}^{2}}\]               
  done clear
  B)
  \[\frac{L{{E}^{2}}}{2R_{1}^{2}}\]
  done clear
  C)
  \[\frac{L{{E}^{2}}}{2{{R}_{1}}{{R}_{2}}}\]             
  done clear
  D)
  \[\frac{L{{E}^{2}}{{({{R}_{1}}+{{R}_{2}})}^{2}}}{2R_{1}^{2}R_{2}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer95)
  Current in an ac circuit is given by \[i=3\,\,\sin \omega t+4\,\,\cos \omega t\] then -
  A)
  rms value of current is 5 A
  done clear
  B)
  Mean value of this current in one half period will be 6/71.
  done clear
  C)
  If voltage applied is \[V\text{ }={{V}_{m}}\sin \omega t\]  then the circuit must be containing resistance and capacitance.
  done clear
  D)
  If voltage applied is \[V\text{ }={{V}_{m}}\sin \omega t\] the circuit may contain only resistance and inductance
  done clear
  View Answer play_arrow

• question_answer96)
  A parallel beam of monochromatic radiation of cross-section area \[A(<\pi {{a}^{2}}),\] intensity I and frequency v is incident on a solid conducting sphere of work function \[{{\phi }_{0}}[hv>{{\phi }_{0}}]\] and radius 'a'. The sphere is grounded by a conducting wire. Assume that for each incident photon one photoelectron is ejected. Just after this radiation   is incident on initially uncharged sphere, the current through the conducting wire is -  
  A)
         \[\frac{IAe}{hv}\]                                  
  done clear
  B)
  \[\frac{IAe}{2hv}\]
  done clear
  C)
  \[\frac{2IAe}{hv}\]                    
  done clear
  D)
  None
  done clear
  View Answer play_arrow

• question_answer97)
  V-T diagram for a process of a given mass of ideal gas is as shown in the figure. During the process pressure of gas.
  A)
          first increases then decreases
  done clear
  B)
  Continuously decreases
  done clear
  C)
  Continuously increases
  done clear
  D)
  First decreases then increases
  done clear
  View Answer play_arrow

• question_answer98)
  In the figure ABC is the cross section of a right angled prism and BCDE is the cross section of a glass slab. The value of \[\theta \] so that light incident normally on the face AB does not cross the face BC is \[(given\,{{\sin }^{-1}}(3/5)=37{}^\circ )\]
  A)
  \[\theta \le 37{}^\circ \]             
  done clear
  B)
  \[\theta <37{}^\circ \]
  done clear
  C)
  \[\theta \le 53{}^\circ \] 
  done clear
  D)
  \[\theta <53{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer99)
  Two particles having the same specific charge (q/m) enter a uniform magnetic field with the same speed but an angles of \[30{}^\circ \] and \[60{}^\circ \] with the field. Let a, b and c be ratios of their pitches, radii and periods of their paths respectively, then-
  A)
  \[a+b=2\sqrt{c}\]         
  done clear
  B)
  \[abc=1\]
  done clear
  C)
  \[{{a}^{2}}=c\]                      
  done clear
  D)
  \[a{{b}^{2}}=c\]
  done clear
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• question_answer100)
  In the given electrical circuit, the potential difference between points A and B is (assume the battery is ideal and the conducting wires have almost zero resistance).
  A)
         6 V                              
  done clear
  B)
  10 V
  done clear
  C)
  25 V                            
  done clear
  D)
  70 V
  done clear
  View Answer play_arrow

• question_answer101)
  If solubility product of \[Z{{r}_{3}}{{\left( P{{O}_{4}} \right)}_{4}}\] is denoted by \[{{K}_{sp}}\] and its molar solubility is denoted by S, then which of the following   relation between S and \[{{K}_{sp}}\]  is correct ?
  A)
  \[S={{\left( \frac{{{K}_{sp}}}{216} \right)}^{\text{1/7}}}\]                  
  done clear
  B)
  \[S={{\left( \frac{{{K}_{sp}}}{6912} \right)}^{\text{1/7}}}\]
  done clear
  C)
  \[S={{\left( \frac{{{K}_{sp}}}{144} \right)}^{\text{1/6}}}\]                  
  done clear
  D)
  \[S={{\left( \frac{{{K}_{sp}}}{929} \right)}^{\text{1/9}}}\]
  done clear
  View Answer play_arrow

• question_answer102)
  An organic compound 'X' showing the following solubility profile is:
  A)
  Benzamide                    
  done clear
  B)
  Oleic acid
  done clear
  C)
  m-Cresol           
  done clear
  D)
  o-Toluidine
  done clear
  View Answer play_arrow

• question_answer103)
  For silver \[{{C}_{p}}(J{{K}^{-\,1}}\,mo{{l}^{-\,1}})=23+0.01\,T.\] If the temperature (T) of 3 moles of silver is raised from 300 K to 1000 K at 1 atm pressure, the value of AH will be close to:
  A)
  13 kJ                
  done clear
  B)
  16 kJ
  done clear
  C)
  62 kJ    
  done clear
  D)
  21 kJ
  done clear
  View Answer play_arrow

• question_answer104)
  Which is wrong with respect to our responsibility as a human being to protect our environment?
  A)
  Restricting the use of vehicles
  done clear
  B)
  Avoiding the use of floodlighted facilities
  done clear
  C)
  Setting up compost tin in gardens
  done clear
  D)
  Using plastic bags
  done clear
  View Answer play_arrow

• question_answer105)
  100 mL of a water sample contains 0.81 g of calcium bicarbonate and 0.73 g of magnesium bicarbonate. The hardness of this water sample expressed in terms of equivalents of \[CaC{{O}_{3}}\] is: (molar mass of calcium bicarbonate is \[162\,g\,\,mo{{l}^{-\,1}}\]  and magnesium bicarbonate is \[146\text{ }g\text{ }mo{{l}^{-1}}\])
  A)
  100 ppm                       
  done clear
  B)
  1,000 ppm
  done clear
  C)
  5,000 ppm                    
  done clear
  D)
  10,000 ppm
  done clear
  View Answer play_arrow

• question_answer106)
  The following ligand is:
  A)
  bidentate                      
  done clear
  B)
  tridentate
  done clear
  C)
  tetradentate                   
  done clear
  D)
  hexadentate
  done clear
  View Answer play_arrow

• question_answer107)
  The major product of the following reaction is:
  A)
                     
  done clear
  B)
  
  done clear
  C)
            
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer108)
  Maltose on treatment with dilute \[HCl\] gives:
  A)
  D-Glucose
  done clear
  B)
  D-Fructose
  done clear
  C)
  D-Glucose and D-Fructose
  done clear
  D)
  D-Galactose
  done clear
  View Answer play_arrow

• question_answer109)
  Which of the following amines can be prepared Gabriel phthalimide reaction?
  A)
  triethylamine                 
  done clear
  B)
  t-butylamine
  done clear
  C)
  neo-pentylamine            
  done clear
  D)
  n-butylamine
  done clear
  View Answer play_arrow

• question_answer110)
  The major product of the following reaction is:
  A)
                      
  done clear
  B)
  
  done clear
  C)
                     
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer111)
  If an insect that eats plant seeds containing 100 jule of energy use 30 jule of that energy for respiration and excretes 20 jule in its faeces, what is the insect's net secondary production? what is its production efficiency
  A)
  10 Jule & 10%  
  done clear
  B)
  40 Jule & 20%
  done clear
  C)
  20 Jule & 40%  
  done clear
  D)
  40 Jule & 40%
  done clear
  View Answer play_arrow

• question_answer112)
  Which one of the following organelle in the figure correctly matches with its function?
  A)
  Golgi apparatus, protein synthesis
  done clear
  B)
  Golgi apparatus, formation of glycolipids
  done clear
  C)
  Rough endoplasmic reticulum, protein synthesis
  done clear
  D)
  Rough endoplasmic reticulum, formation of glycoproteins
  done clear
  View Answer play_arrow

• question_answer113)
  If two persons with 'AB' blood group marry and have sufficiently large number of children, these children could be classified as 'A' blood group: 'AB' blood group: 'B' blood group in 1 : 2 : 1 ratio. Modern technique of protein electrophoresis reveals presence of both' A' and 'B' type proteins in 'AB' blood group individuals. This is an exam pie of:
  A)
  Incomplete dominance
  done clear
  B)
  Partial dominance
  done clear
  C)
  Complete dominance
  done clear
  D)
  Codominance
  done clear
  View Answer play_arrow

• question_answer114)
  According to the original model of DNA. as proposed by Watson & Crick 1953, DNA is a
  A)
  left handed helix
  done clear
  B)
  helix that makes a full turn every 70 nm.
  done clear
  C)
  helix where one turn of DNA contains 20 base pairs
  done clear
  D)
  two stranded helix where each strand has opposite polarity.
  done clear
  View Answer play_arrow

• question_answer115)
  The diagram shows an important concept in the genetic implication of DNA. Fill in the blanks A to C.
  A)
  A-translation B-transcription C-Erevin Chargaff
  done clear
  B)
  A-transcription B-translation C-Francis Crick
  done clear
  C)
  A-translation B-extension C-Rosalind Franklin
  done clear
  D)
  A-transcription B-replication C-James Watson
  done clear
  View Answer play_arrow

• question_answer116)

  Choose correct statement

  [a] Sustained high fever \[(30{}^\circ \,\,\text{to}\,\,40{}^\circ C),\] weakness, stomach pain constipation, headche & loss of appetite are some of the common symptoms of typhoid disease.

  [b] The rupture of RBCs is associated with release of a toxic substance, haemozoin, which is responsible for the chill and high fever recurring every 3 - 4 days.

  [c] Symptons of ascariasis disease include internal bleeding muscular pain, fever, anaemia & blockage of intestinal passage.

  [d] Appearance of dry, scaly lesions on various part of body such as skin, nails and scalp are the main symptoms of viral disease.

  A)
  a & b               
  done clear
  B)
  a, b & c
  done clear
  C)
  a, b & d           
  done clear
  D)
  AII of these
  done clear
  View Answer play_arrow

• question_answer117)

  Choose wrong statement:

  [a] Treatment of AIDS with anti-retroviral drugs is partially effective

  [b] ionising radiation like x-rays and gamma rays and non-ionising radiation like UV cause DNA damage leading to neoplastic transformation.

  [c] The side effects of the use of anabolic steroids in females include masculisation (feature like males, increased aggressiveness, mood swings, depression etc.)

  [d] Allergy is due to the release of chemicals like histamine & serotonin from the mast cells.

  A)
  a, &, b             
  done clear
  B)
  a, &, d
  done clear
  C)
  a, c, &, d                      
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer118)

  Choose correct statements.

  [a] Parturition is induced by a complex neuroendocrine mechanism.

  [b] By end of 24 weeks (second trimester), the body is covered with fine hair, eye lids separate an eye lashes are formed.

  [c] The blastomers in the blastocyst are arranged into an outer layer called trophoblast Sinner group of eel's attached to trophoblast called the inner cell mass.

  [d] The excretion of the acrosome help the sperm inter into the cytoplasm of the ovum through the zone pellucida and the plasma membrane.

  A)
  a                                 
  done clear
  B)
  b, c
  done clear
  C)
  a, c, d  
  done clear
  D)
  All of the these
  done clear
  View Answer play_arrow

• question_answer119)
  Select the correct statement from the following
  A)
  Methanobaeterium is aerobic bacterium found in rumen of cattle
  done clear
  B)
  Biogas, commonly called gobar gas, is pure methane
  done clear
  C)
  Activated sludge-sediment in settlement tanks of sewage treatment plant is a rich source of aearobic bacteria
  done clear
  D)
  Biogas is produced by the activity of aerobic bacteria on animal waste
  done clear
  View Answer play_arrow

• question_answer120)
  Which one of the following pairs of items correctly belongs to the category of organs mentioned against it?
  A)
  thorn of Bougainvillea and tendrils of Cucurbita-analogous organs
  done clear
  B)
  nictitating membrane and blind spot in human eye-vestigial organs
  done clear
  C)
  nephridia of earthworm and Malpighian tubules of cockroach -excretory organs
  done clear
  D)
  wings of honey bee and wings of crow-homologous organs
  done clear
  View Answer play_arrow