KVPY Sample Paper

done KVPY Stream-SX Model Paper-31 Total Questions - 120   

• question_answer1)
  The sum of coefficients of even powers of \[x\] in is: \[{{\left( x+\sqrt{{{x}^{3}}-1} \right)}^{6}}+{{\left( x-\sqrt{{{x}^{3}}-1} \right)}^{6}}\]
  A)
  23
  done clear
  B)
  24
  done clear
  C)
  18
  done clear
  D)
  21
  done clear
  View Answer play_arrow

• question_answer2)
  Let \[\sin (\alpha -\beta )=\frac{5}{13}\] and \[cos(\alpha +\beta )=\frac{3}{5},\] then \[\tan (2\alpha )\] is equal to: (Here \[\alpha ,\beta \in \left( 0,\frac{\pi }{4} \right)\])
  A)
  \[\frac{63}{16}\]
  done clear
  B)
  \[\frac{61}{16}\]
  done clear
  C)
  \[\frac{65}{16}\]           
  done clear
  D)
  \[\frac{32}{9}\]
  done clear
  View Answer play_arrow

• question_answer3)
  The line \[x+y=n,n\in N\] makes intercepts with \[{{x}^{2}}+{{y}^{2}}=16.\] Then the sum of square of all possible intercepts.
  A)
  \[\frac{105}{4}\]
  done clear
  B)
  \[105\]
  done clear
  C)
  \[210\]  
  done clear
  D)
  \[\frac{105}{2}\]
  done clear
  View Answer play_arrow

• question_answer4)
  \[\int{\frac{\sin \frac{5x}{2}}{\sin \frac{x}{2}}}dx\] is equal to
  A)
  \[x+2\sin x+\sin 2x+C\]
  done clear
  B)
  \[x+2\cos x+\sin 2x+C\]
  done clear
  C)
  \[x-2\sin x+\sin 2x+C\]
  done clear
  D)
  \[x+2\sin x-\sin 2x+C\]
  done clear
  View Answer play_arrow

• question_answer5)
  The area bounded by the curve\[y\le {{x}^{2}}+3x,0\le 4,\]\[0\le x\le 3,\]is:
  A)
  \[\frac{59}{6}\] 
  done clear
  B)
  \[\frac{57}{4}\]
  done clear
  C)
  \[\frac{59}{3}\]
  done clear
  D)
  \[\frac{57}{6}\]
  done clear
  View Answer play_arrow

• question_answer6)
  "If your are born in India then you are citizen of India." Contrapositive of this statement is:
  A)
  If you are born in India then you are not citizen of India
  done clear
  B)
  If you are not citizen of India then you are not born in India
  done clear
  C)
  If you are citizen of India then yo are not born in India
  done clear
  D)
  If you are citizen of India then you are born in India
  done clear
  View Answer play_arrow

• question_answer7)
  Let \[A=\left[ \begin{matrix}    \cos \alpha  & -\sin \alpha   \\    \sin \alpha  & \cos \alpha   \\ \end{matrix} \right]\] and \[{{A}^{32}}=\left[ \begin{matrix}    0 & -1  \\    1 & 0  \\ \end{matrix} \right]\] then \[\alpha \] may be:
  A)
  \[0\]
  done clear
  B)
  \[\frac{\pi }{32}\]
  done clear
  C)
  \[\frac{\pi }{64}\]          
  done clear
  D)
  \[\frac{\pi }{16}\]
  done clear
  View Answer play_arrow

• question_answer8)
  Shortest distance between the curve \[{{y}^{2}}=x-2\] and \[y=x\] is:
  A)
  greater than 4
  done clear
  B)
  less than 2
  done clear
  C)
  greater than 3
  done clear
  D)
  greater than 2
  done clear
  View Answer play_arrow

• question_answer9)
  \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{\sin }^{2}}x}{\sqrt{2}-\sqrt{1+\cos x}}=\]
  A)
  \[\sqrt{2}\]
  done clear
  B)
  2
  done clear
  C)
  \[4\]
  done clear
  D)
  \[4\sqrt{2}\]
  done clear
  View Answer play_arrow

• question_answer10)
  How many 9 digit number can be formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4, such that odd numbers occur at even places.
  A)
  160
  done clear
  B)
  175
  done clear
  C)
  180
  done clear
  D)
  220
  done clear
  View Answer play_arrow

• question_answer11)
  Let\[g(x)=\] in \[x\] and \[f(x)=\left( \frac{1-x\cos x}{1+x\cos x} \right)\] then \[\int\limits_{\frac{-\pi }{4}}^{\frac{\pi }{4}}{g(f(x))}dx\] is equal to:
  A)
  \[\ell n1\]           
  done clear
  B)
  \[\ell n2\]
  done clear
  C)
  \[\ell ne\]           
  done clear
  D)
  \[\ell n4\]
  done clear
  View Answer play_arrow

• question_answer12)
  Let \[{{2.}^{20}}{{C}_{0}}+{{5.}^{20}}{{C}_{1}}+{{8.}^{20}}{{C}_{2}}+...+{{62.}^{20}}{{C}_{20}},\] then sum of this series is:
  A)
  \[{{16.2}^{22}}\]
  done clear
  B)
  \[8.\text{ }{{2}^{20}}\]
  done clear
  C)
  \[{{8.2}^{21}}\]
  done clear
  D)
  \[{{16.2}^{21}}\]
  done clear
  View Answer play_arrow

• question_answer13)
  Sum of the natural number between 100 and 200 whose HCF with 91 should be more than 1:
  A)
  1121
  done clear
  B)
  3210
  done clear
  C)
  3121
  done clear
  D)
  1520
  done clear
  View Answer play_arrow

• question_answer14)
  If mean and variance of 7 variates are 8 and 16 respectively and five of them are 2, 4, 10, 12, 14 then find the product of remaining two variates:
  A)
  49
  done clear
  B)
  48
  done clear
  C)
  45
  done clear
  D)
  40
  done clear
  View Answer play_arrow

• question_answer15)
  If \[\alpha \] and \[\beta \] are the roots of\[{{x}^{2}}-2x+2=0,\] then find minimum value of \[n\] such that \[{{\left( \frac{\alpha }{\beta } \right)}^{n}}=1:\]
  A)
  4
  done clear
  B)
  3
  done clear
  C)
  2
  done clear
  D)
  5
  done clear
  View Answer play_arrow

• question_answer16)
  Solution of differential equation \[{{({{x}^{2}}+1)}^{2}}\frac{dy}{dx}+2({{x}^{2}}+1)y=1\] is:
  A)
  \[y=\frac{{{\tan }^{-1}}x}{{{x}^{2}}+1}+C\]
  done clear
  B)
  \[y={{\tan }^{-1}}x+C\]
  done clear
  C)
  \[y({{x}^{2}}+1)={{\tan }^{-1}}x+C\]
  done clear
  D)
  \[y(ta{{n}^{-1}}x={{x}^{2}}+C\]
  done clear
  View Answer play_arrow

• question_answer17)
  If \[f(x)=lo{{g}_{e}}\left( \frac{1-x}{1+x} \right),\] then \[f\left( \frac{2x}{1+{{x}^{2}}} \right)\] is equal to:
  A)
  \[f(x)\]                          
  done clear
  B)
  \[2f(x)\]
  done clear
  C)
  \[-2f(x)\]
  done clear
  D)
  \[{{(f(x))}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer18)
  Given that \[A\subset B,\] then identify the correct statement:
  A)
  \[P\left( \frac{A}{B} \right)=(A)\]            
  done clear
  B)
  \[P\left( \frac{A}{B} \right)\le P(A)\]
  done clear
  C)
  \[P\left( \frac{A}{B} \right)\ge P(A)\]
  done clear
  D)
  \[P\left( \frac{A}{B} \right)=P(A)-P(B)\]
  done clear
  View Answer play_arrow

• question_answer19)

  Find the value of c for which the following equations have non trivial solutions:

  \[cx-y-z=0\]

  \[-cx+y-cz=0\]

  \[x+y-cz=0\]

  A)
  \[\frac{1}{2}\]
  done clear
  B)
  \[-1\]
  done clear
  C)
  \[2\]     
  done clear
  D)
  \[0\]
  done clear
  View Answer play_arrow

• question_answer20)
  Let \[2y{{\left( {{\cot }^{-1}}\left( \frac{\sqrt{3}\cos x-\sin x}{\cos x+\sqrt{3}\sin x} \right) \right)}^{2}},\] then \[\frac{dy}{dx}\] is equal to:
  A)
  \[x-\frac{\pi }{6}\]
  done clear
  B)
  \[x+\frac{\pi }{6}\]
  done clear
  C)
  \[2x-\frac{\pi }{6}\]
  done clear
  D)
  \[2x-\frac{\pi }{3}\]
  done clear
  View Answer play_arrow

• question_answer21)
  A conducting circular loop of radius 'a' and resistance R is kept on a horizontal plane. A vertical time varying magnetic field \[B=2t\] is switched on at time \[t=0\]. Then:
  A)
  power generated in the coil at any time t is constant
  done clear
  B)
  flow of charge per unit time from any section of the coil is constant
  done clear
  C)
  total charge passed through any section between time\[t=0\] to \[\,t=2\] is \[\,\frac{4\pi {{a}^{2}}}{R}\]
  done clear
  D)
  All the above
  done clear
  View Answer play_arrow

• question_answer22)
  A rigid circular loop of radius r and mass m lies in the x-y plane on a flat table and has a current i flowing in it. At this particular place, the earth's magnetic field is \[\overrightarrow{B}={{B}_{x}}\overset{\hat{\ }}{\mathop{i}}\,+{{B}_{z}}\overset{\hat{\ }}{\mathop{k}}\,\] The value of i so that one edge of the loop lifts from the table 's:
  A)
  \[\,\frac{mg}{\pi r\sqrt{B_{x}^{2}+B_{z}^{2}}}\]
  done clear
  B)
  \[\frac{mg}{\pi r{{B}_{z}}}\]
  done clear
  C)
  \[\frac{mg}{\pi r{{B}_{x}}}\]
  done clear
  D)
  \[\frac{mg}{\pi r\sqrt{{{B}_{x}}{{B}_{z}}}}\]
  done clear
  View Answer play_arrow

• question_answer23)
  In Young's double slit experiment \[\frac{d}{D}={{10}^{-4}}\](d=distance between slits, D = distance of screen from the slits). At a point P on the screen resulting intensity is equal to the intensity due to individual slit\[{{l}_{0}}\].Then the distance of point P from the central maximum is: \[\left( \lambda =6000A \right)\]
  A)
  2 mm
  done clear
  B)
  1 mm
  done clear
  C)
  0.5 mm            
  done clear
  D)
  4 mm
  done clear
  View Answer play_arrow

• question_answer24)
  Four equal charges of magnitude q each are placed at four corners of a square with its centre at origin and lying in y-z plane. A fifth charge +Q is moved along x-axis. The electrostatic potential energy (U) varies on x-axis as:
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer25)
  Equations of a stationary and a travelling waves are as follows; \[{{y}_{1}}=a\,\sin \,kx\cos \omega t\] and \[{{y}_{2}}=a\sin (\omega t-kx)\] The phase difference between two points \[{{x}_{1}}=\frac{\pi }{3k}\] and \[{{x}_{2}}=\frac{3\pi }{2k}\], are \[{{\phi }_{1}}\] and \[{{\phi }_{2}}\] respectively for the two waves. The ratio \[\frac{{{\phi }_{1}}}{{{\phi }_{2}}}\] is:
  A)
  1
  done clear
  B)
  \[\frac{5}{6}\]
  done clear
  C)
  \[\frac{3}{4}\]  
  done clear
  D)
  \[\frac{6}{7}\]
  done clear
  View Answer play_arrow

• question_answer26)

  A disc of radius \[0.1\,m\] rolls without sliding on a horizontal surface with a velocity of \[6\,m/s\]. It then ascends a smooth continuous track as shown in figure. The height upto which it will ascend is :\[\left( g=10\,m/{{s}^{2}} \right)\]

   
  A)
  \[2.4\,m\]
  done clear
  B)
  \[0.9\,m\]
  done clear
  C)
  \[2.7\,m\]
  done clear
  D)
  \[1.8\,m\]
  done clear
  View Answer play_arrow

• question_answer27)
  A particle moves in the x-y plane with velocity \[\overrightarrow{v}=a\overset{\hat{\ }}{\mathop{i}}\,+bt\overset{\hat{\ }}{\mathop{j}}\,\].At the instant \[t=\frac{a\sqrt{3}}{b}\]the magnitudes  of tangential, normal and total accelerations are:
  A)
  \[\frac{\sqrt{3}}{2}b,\,\,\frac{b}{2}\]and b respectively
  done clear
  B)
  \[\frac{b}{2},\,\,\frac{b}{2}\]and b respectively
  done clear
  C)
  \[\sqrt{2}b,\,\,\sqrt{2}b\]and b respectively
  done clear
  D)
  none of the above
  done clear
  View Answer play_arrow

• question_answer28)

  In the arrangement shown in figure, coefficient of friction between the two blocks is \[\mu =\frac{1}{2}\] The force of friction acting between the two blocks is:

  A)
  8 N
  done clear
  B)
  10 N
  done clear
  C)
  6 N
  done clear
  D)
  4 N
  done clear
  View Answer play_arrow

• question_answer29)

  A uniform sphere of radius R is placed on a rough horizontal surface and given a linear velocity \[{{v}_{0}}\]and angular velocity \[{{\omega }_{0}}\] as shown. The sphere comes to rest after moving some distance to the right. It follows that:

  A)
   \[{{v}_{0}}=\,{{\omega }_{0}}R\]
  done clear
  B)
  \[2{{v}_{0}}=5{{\omega }_{0}}R\]
  done clear
  C)
  \[5{{v}_{0}}=2{{\omega }_{0}}R\]
  done clear
  D)
  \[2{{v}_{0}}={{\omega }_{0}}R\]
  done clear
  View Answer play_arrow

• question_answer30)
  Two particles of equal mass have velocities \[{{\overrightarrow{v}}_{1}}=2\overset{\hat{\ }}{\mathop{i}}\,m/s\] and\[{{\overrightarrow{v}}_{2}}=2\overset{\hat{\ }}{\mathop{j}}\,m/s\]. First particle has an acceleration\[{{\overrightarrow{a}}_{1}}=\,(3\overset{\hat{\ }}{\mathop{i}}\,+\,3\overset{\hat{\ }}{\mathop{j}}\,)\,m/{{s}^{2}}\], while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a:
  A)
  circle
  done clear
  B)
  parabola
  done clear
  C)
  straight line       
  done clear
  D)
  ellipse
  done clear
  View Answer play_arrow

• question_answer31)
  The maximum kinetic energy of photoelectrons emitted from a surface when photons of energy \[6eV\] fall on it is \[4eV\]. The stopping potential in volts is:
  A)
  2
  done clear
  B)
  4                        
  done clear
  C)
  6
  done clear
  D)
  10
  done clear
  View Answer play_arrow

• question_answer32)

  A 100 W bulb \[{{B}_{1}}\], and two 60 W bulbs \[{{B}_{2}}\]and \[{{B}_{3}}\], are connected to a 250 V source, as shown in the figure.

  Now, \[{{W}_{1}}\], \[{{W}_{2}}\] and \[{{W}_{3}}\]are the output powers of the bulbs \[{{B}_{1}}\], \[{{B}_{2}}\]and \[{{B}_{3}}\] respectively. Then:

  A)
  \[{{W}_{1}}>{{W}_{2}}={{W}_{3}}\]
  done clear
  B)
  \[{{W}_{1}}>{{W}_{2}}>{{W}_{3}}\]
  done clear
  C)
  \[{{W}_{1}}<{{W}_{2}}={{W}_{3}}\]
  done clear
  D)
  \[{{W}_{1}}<{{W}_{2}}<{{W}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer33)
  A capacitor is filled with an insulator and a certain potential difference is applied to its plates. The energy stored in the capacitor is U. Now the capacitor is disconnected from the source and the insulator is pulled out of the capacitor. The work performed against the forces of electric field in pulling out the insulator is 4U. Then dielectric constant of the insulator is:
  A)
  4
  done clear
  B)
  8
  done clear
  C)
  5
  done clear
  D)
  3
  done clear
  View Answer play_arrow

• question_answer34)

  In the circuit shown in figure, a conducting wire HE is moved with a constant speed v towards left. The complete circuit is placed in a uniform magnetic field\[\overrightarrow{B}\] perpendicular to the plane of circuit inwards.

  The current in HKDE is:

  A)
  clockwise
  done clear
  B)
  anticlockwise
  done clear
  C)
  alternating
  done clear
  D)
  zero
  done clear
  View Answer play_arrow

• question_answer35)
  In the formula \[X=3Y{{Z}^{2}}\]  X and Z have dimensions of capacitance and magnetic induction respectively. What are the dimensions of Y in MKSQ system?
  A)
  \[[{{M}^{-3}}{{L}^{-1}}{{T}^{3}}{{Q}^{4}}]\]    
  done clear
  B)
  \[[{{M}^{-3}}{{L}^{-2}}{{T}^{4}}{{Q}^{4}}]\]
  done clear
  C)
  \[[{{M}^{-2}}{{L}^{-2}}{{T}^{4}}{{Q}^{4}}]\]    
  done clear
  D)
  \[[{{M}^{-3}}{{L}^{-2}}{{T}^{4}}{{Q}^{4}}]\]
  done clear
  View Answer play_arrow

• question_answer36)
  A uniform disc of radius R lies in x-y plane with its centre at origin. Its moment of inertia about the axis \[x\,=\,2R\] and \[y\,=\,0\] is equal to the moment of inertia about the axis \[y\,=\,\,d\] and \[z\,=\,\,0\], where d is equal to:
  A)
  \[\frac{4}{3}R\]
  done clear
  B)
  \[\frac{\sqrt{17}}{2}R\]
  done clear
  C)
  \[\sqrt{13}R\]
  done clear
  D)
  \[\frac{\sqrt{15}}{2}R\]
  done clear
  View Answer play_arrow

• question_answer37)

  One mole of a monoatomic ideal gas undergoes the process\[A\to B\] in the given P-V diagram. The specific heat for this process is:

  A)
  \[\frac{3R}{2}\]
  done clear
  B)
  \[\frac{13R}{6}\]
  done clear
  C)
  \[\frac{5R}{2}\]
  done clear
  D)
  2R
  done clear
  View Answer play_arrow

• question_answer38)
  Refraction takes place at a concave spherical boundary separating glass air medium. For the image to be real, the object distance \[\left( {{\mu }_{g}}=\frac{3}{2} \right)\]
  A)
  should be greater than three times the radius of curvature of the refracting surface
  done clear
  B)
  should be greater than two times the radius of curvature of the refracting surface
  done clear
  C)
  should be greater than the radius of curvature of the refracting surface
  done clear
  D)
  is independent of the radius of curvature of the refracting surface
  done clear
  View Answer play_arrow

• question_answer39)

  In the circuit shown in figure potential difference between A and B is:

  A)
  30 V    
  done clear
  B)
  60 V
  done clear
  C)
  10 V
  done clear
  D)
  90 V
  done clear
  View Answer play_arrow

• question_answer40)
  A radioactive substance is being produced at a constant rate of 200 nuclei/s. The decay constant of the substance is\[{{1}^{s-1}}\]. After what time the number of radioactive nuclei will become 100. Initially there are no nuclei present
  A)
  1s        
  done clear
  B)
  \[\frac{1}{ln\left( 2 \right)}s\]
  done clear
  C)
  \[ln\,(2)\,s\]
  done clear
  D)
  2 s
  done clear
  View Answer play_arrow

• question_answer41)
  2 mole, equimolar mixture of \[N{{a}_{2}}{{C}_{2}}{{O}_{4}}\] and \[{{H}_{2}}{{C}_{2}}{{O}_{4}}\] required \[{{V}_{1}}L\] of 0.1 M \[KMn{{O}_{4}}\] in acidic medium for complete oxidation. The same amount of the mixture required \[{{V}_{2}}L\] of 0.2 M \[NaOH\]for neutralization. The ratio of Vi to Vi is -
  A)
  1 : 2
  done clear
  B)
  2 : 1
  done clear
  C)
  4 : 5     
  done clear
  D)
  5 : 4
  done clear
  View Answer play_arrow

• question_answer42)
  If \[{{a}_{0}}\] he the radius of first Bohr's orbit of H-atom, the de-Broglie's wavelength of an electron revolving in the second Bohr's orbit will be -
  A)
  \[6\pi {{a}_{0}}\]
  done clear
  B)
  \[4\pi {{a}_{0}}\]
  done clear
  C)
  \[2\pi {{a}_{0}}\]
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer43)
  The root mean square speed of 8 g of \[He\] is \[300\,\,m{{s}^{-\,1}}.\] Total kinetic energy of \[He\]gas is -
  A)
  120 J
  done clear
  B)
  240 J
  done clear
  C)
  360 J
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer44)
  10 mole of ideal gas expand isothermally and reversibly from a pressure of 10 atm to 1 atm at 300 K. What is the largest mass which can lifted through a height of 100 meter?
  A)
  31842 kg
  done clear
  B)
  58.55 kg
  done clear
  C)
  342.58 kg
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer45)
  \[COC{{l}_{2}}\] gas dissociates according to the equation, \[COC{{l}_{2}}(g)\,\,\,\,CO(g)+C{{l}_{2}}(g).\] When heated to 700 K the density of the gas mixture at 1.16 atm and at equilibrium is 1.16 g/litre. The degree of dissociation of \[C{{O}_{2}}\] at 700 K is -
  A)
  0.28
  done clear
  B)
  0.50 
  done clear
  C)
  0.72     
  done clear
  D)
  0.42
  done clear
  View Answer play_arrow

• question_answer46)
  Rate constant \[k=2.303\,\,{{\min }^{-1}}\] for a particular reaction. The initial concentration of the reaction is 1 mol/litre then rate of reaction after 1 minute is
  A)
  \[2.303\,\,M\,\,{{\min }^{-1}}\]
  done clear
  B)
  \[0.2303\,\,M\,\,{{\min }^{-1}}\]
  done clear
  C)
  \[0.1\,\,M\,\,{{\min }^{-1}}\]
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer47)
  What is the pH of a saturated solution of \[Cu{{(OH)}_{2}}?\] \[(Ksp=2.6\times {{10}^{-19}})\]
  A)
  6.1
  done clear
  B)
  7.30
  done clear
  C)
  8.42     
  done clear
  D)
  7.90
  done clear
  View Answer play_arrow

• question_answer48)
  An electrolysis of a oxytungsten complex ion using 1.10 A for 40 min produces 0.838 g of tungsten. What is the charge of tungsten in the materials? (Atomic wt., W= 184)
  A)
  6
  done clear
  B)
  2    
  done clear
  C)
  4         
  done clear
  D)
  1
  done clear
  View Answer play_arrow

• question_answer49)
  6.0 g of urea (molecular weight = 60) was dissolved in 9.9 moles of water. If the vapour pressure of pure water is \[{{P}^{o}},\] the vapour pressure of solution is -
  A)
  \[0.10\,\,{{P}^{o}}\]
  done clear
  B)
  \[1.10\,\,{{P}^{o}}\]
  done clear
  C)
  \[0.90\,\,{{P}^{o}}\]
  done clear
  D)
  \[0.99\,\,{{P}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer50)
  An element X (At. wt = 80 g/mol) having fee structure, calculate no. of unit cells in 8 gm of X:
  A)
  \[0.4\times {{N}_{A}}\]
  done clear
  B)
  \[0.1\times {{N}_{A}}\]
  done clear
  C)
  \[4\times {{N}_{A}}\]
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer51)
  In Brownian motion, the paths of the particles are-
  A)
  linear
  done clear
  B)
  curved
  done clear
  C)
  zig-zag
  done clear
  D)
  uncertain
  done clear
  View Answer play_arrow

• question_answer52)

  Consider the following changes:
  \[M(s)\to M(g)\]	... (1)
  \[M(s)\to {{M}^{2+}}(g)+2{{e}^{-}}\]	... (2)
  \[M(g)\to {{M}^{+}}(g)+{{e}^{-}}\]	... (3)
  \[{{M}^{+}}(g)\to {{M}^{2+}}(g)+{{e}^{-}}\]	... (4)
  \[M(g)\to {{M}^{2+}}(g)+2{{e}^{-}}\]	... (5)
  The second ionization energy of M could be calculated from the energy values associated with

   
  A)
  \[1+3+4\]
  done clear
  B)
  \[2-1+8\]
  done clear
  C)
  \[1+5\]
  done clear
  D)
  \[5-3\]
  done clear
  View Answer play_arrow

• question_answer53)
  The correct order of strength of H-bond in the following compound -
  A)
  \[{{H}_{2}}O>{{H}_{2}}{{O}_{2}}>HF>{{H}_{2}}S\]
  done clear
  B)
  \[HF>{{H}_{2}}{{O}_{2}}>{{H}_{2}}O>{{H}_{2}}S\]
  done clear
  C)
  \[HF>{{H}_{2}}O>{{H}_{2}}S>{{H}_{2}}{{O}_{2}}\]
  done clear
  D)
  \[HF>{{H}_{2}}O>{{H}_{2}}{{O}_{2}}>{{H}_{2}}S\]
  done clear
  View Answer play_arrow

• question_answer54)
  Select correct statement -
  A)
  Acidic strength of \[HBr>HCl\] but reverse is true for their reducing property
  done clear
  B)
  Basic strength of \[P{{H}_{3}}>As{{H}_{3}}\] but reverse is true for their Bond angle
  done clear
  C)
  Dipole moment of \[C{{H}_{3}}Cl>C{{H}_{3}}F\] but reverse is true for their HCH bond angle
  done clear
  D)
  \[{{K}_{{{a}_{1}}}}\]of fumaric acid is higher than maleic acid but reverse is true for their \[{{K}_{{{a}_{2}}}}\]
  done clear
  View Answer play_arrow

• question_answer55)
  Select pair of compounds in which both have different hybridization but have same molecular geometry-
  A)
  \[B{{F}_{3}},\]\[Br{{F}_{3}}\] 
  done clear
  B)
  \[ICl_{2}^{\Theta },\] \[BeC{{l}_{2}}\]
  done clear
  C)
  \[BC{{l}_{3}},\]\[PC{{l}_{3}}\]
  done clear
  D)
  \[PC{{l}_{3}},\] \[NC{{l}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer56)
  In the isoelectronic series of metal carbonyl, the \[CO\]bond strength is expected to increase in the order-
  A)
  \[{{[Mn{{(CO)}_{6}}]}^{+}}<[Cr{{(CO)}_{6}}]<{{[V{{(CO)}_{6}}]}^{-}}\]
  done clear
  B)
  \[{{[V{{(CO)}_{6}}]}^{-}}<[Cr{{(CO)}_{6}}]<{{[Mn{{(CO)}_{6}}]}^{+}}\]
  done clear
  C)
  \[{{[V{{(CO)}_{6}}]}^{-}}<{{[Mn{{(CO)}_{6}}]}^{+}}<[Cr{{(CO)}_{6}}]\]
  done clear
  D)
  \[[Cr{{(CO)}_{6}}]<{{[Mn{{(CO)}_{6}}]}^{+}}<{{[V{{(CO)}_{6}}]}^{-}}\]
  done clear
  View Answer play_arrow

• question_answer57)
  \[AgCl\]on fusion with \[N{{a}_{2}}C{{O}_{3}}\] forma -
  A)
  \[A{{g}_{2}}C{{O}_{3}}\]
  done clear
  B)
  \[A{{g}_{2}}O\]
  done clear
  C)
  Ag       
  done clear
  D)
  \[A{{g}_{2}}{{C}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer58)
  A colourless water soluble solid 'X' on heating gives equimolar quantities of Y and Z, Y gives dense white fumes \[HCl\] and Z does so with \[N{{H}_{3}}\] Y gives brown precipitate with Nessler's reagent and Z gives white precipitate with nitrates of \[A{{g}^{+}},\]\[P{{b}^{2+}}\] and \[H{{g}^{+}}\] 'X' is-
  A)
  \[N{{H}_{4}}Cl\]
  done clear
  B)
  \[N{{H}_{4}}N{{O}_{3}}\]
  done clear
  C)
  \[N{{H}_{4}}N{{O}_{2}}\]
  done clear
  D)
  \[FeS{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer59)
  Calcium imide on hydrolysis gives gas [B] which on oxidation by bleaching powder gives gas [C]. Gas [C] on reaction with magnesium give compound [D] which on hydrolysis gives again gas [B]. Identify [B], [C] and [D]
  A)
  \[N{{H}_{3}},\,\,{{N}_{2}},\,\,M{{g}_{3}}{{N}_{2}}\]
  done clear
  B)
  \[{{N}_{2}},\,\,N{{H}_{3}},\,\,MgNH\]
  done clear
  C)
  \[{{N}_{2}},\,\,{{N}_{2}}{{O}_{5}},\,\,Mg{{(N{{O}_{3}})}_{2}}\]
  done clear
  D)
  \[N{{H}_{3}},\,\,N{{O}_{2}},\,\,Mg{{(N{{O}_{2}})}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer60)
  Identify conformer of 2-methyl pentane-
  A)
  
  done clear
  B)
  
  done clear
  C)
      
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer61)
  The brachial plexus are formed by which of the following spinal nerves?
  A)
  IV, V, VI cervical
  done clear
  B)
  V, VI, VII, VIII cervical and I thoracic
  done clear
  C)
  IV to VII lumbar
  done clear
  D)
  First three sacral
  done clear
  View Answer play_arrow

• question_answer62)
  Drugs that alter the permeability of the plasma membrane of a neuron have which of the following effects on nerve impulse conduction?
  A)
  They prevent movement of sodium and potassium ions into and out of the cell, thereby stopping the transmission of the impulse.
  done clear
  B)
  They primarily affect conduction along the axon.
  done clear
  C)
  They prevent the release of neurotransmitters at synapses.
  done clear
  D)
  All of the above
  done clear
  View Answer play_arrow

• question_answer63)
  Cyclic and non-cyclic electron flow is used in plants to
  A)
  Meet the ATP demands of the Calvin Benson cycle.
  done clear
  B)
  Avoid producing excess \[NADPH+{{H}^{+}}\].
  done clear
  C)
  Balance ATP and \[NADPH+{{H}^{+}}\] ratios in the chloroplast.
  done clear
  D)
  All of the above
  done clear
  View Answer play_arrow

• question_answer64)
  At the zoo, Ratan saw a species of primate. He had never even heard of before. He said, it was called a white-faced saki. It had long, dark, spiky far, a long fluffy tail, forward-facing brown eyes, a white forehead, and yellow cheeks. Based on this information, the white-faced saki could not bean:
  A)
  Ape
  done clear
  B)
  Prosimian
  done clear
  C)
  New World monkey
  done clear
  D)
  Old World monkey
  done clear
  View Answer play_arrow

• question_answer65)
  In our society, women are blamed for producing female children. Choose the correct answer for the sex determination in humans.
  A)
  This is due to some defect in the women.
  done clear
  B)
  This is due to some defect like aspermia in man.
  done clear
  C)
  This is due to the genetic makeup of the particular sperm which fertilises the egg.
  done clear
  D)
  This is due to the genetic makeup of the egg.
  done clear
  View Answer play_arrow

• question_answer66)

  Read the following four statements (i)-(iv).

  (I)  Both photophosphorylation and oxidative phosphorylation involve uphill transport of protons across the membrane.

  (II) In dicot stems, a new cambium originates from cells of pericycle at the time of secondary growth.

  (III) Stamens in flowers of Gloriosa and Petunia are polyandrous.

  (IV) Symbiotic nitrogen-fixers occur in free-living state also in soil.

  How many of the above statements are correct?

  A)
  Two     
  done clear
  B)
  Three
  done clear
  C)
  Four
  done clear
  D)
  One
  done clear
  View Answer play_arrow

• question_answer67)
  A large proportion of oxygen is left unused in the human blood even after its uptake by the body tissues. This \[{{\operatorname{O}}_{2}}\]
  A)
  Raises the \[p{{\operatorname{CO}}_{2}}\] of blood to 75 mm of Hg.
  done clear
  B)
  is enough to keep oxyhaemoglobin.
  done clear
  C)
  Helps in releasing more \[{{\operatorname{O}}_{2}}\] to the epithelial tissues.
  done clear
  D)
  Acts as a reserve during muscular exercises.
  done clear
  View Answer play_arrow

• question_answer68)
  If there are 120 adenine molecules in a B-DNA double helical structure showing 20 coils, what is the number of pyrimidine nudeotides forming three hydrogen bonds in it?
  A)
  80
  done clear
  B)
  100
  done clear
  C)
  120      
  done clear
  D)
  140
  done clear
  View Answer play_arrow

• question_answer69)
  Select the correct statement out of the following.
  A)
  A suspension culture consists of single cell and small groups of cells suspended in a liquid medium.
  done clear
  B)
  During sub-culturing, only a part of the culture is transferred into the new media.
  done clear
  C)
  Sterilisation means complete destruction of micro-organisms.
  done clear
  D)
  All of the above.
  done clear
  View Answer play_arrow

• question_answer70)

  Study the following tRNA molecules related with their anti-codon pairing with respective codons. Which types of tRNA is impossible?

  A)
  T1 and T2                    
  done clear
  B)
  T1, T2 and T3
  done clear
  C)
  T1 and T4
  done clear
  D)
  T3, T4 and T5
  done clear
  View Answer play_arrow

• question_answer71)
  Methyl guanosine triphosphate is added to the 5' end of hn RNA in a process of:
  A)
  Splicing
  done clear
  B)
  Capping
  done clear
  C)
  Tailing
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer72)

  Most wild plants contain toxins that deter animals from eating them. A scientist discovered that a toxin produced by a certain plant was also toxic to the same plant if it was applied to the roots of the plants. As the first step in finding out why the plant was not normally killed by its own toxin, he fractionated some plant cell and found that the toxin was in the fraction that contained the largest cell organelle. He also found that the toxin was no longer toxic after it was heated. Which of the following statement are consistent with the scientist's observations?

  (I)  The toxin was stored in the central vacuole.

  (II) The toxin can cross the plasma membrane but not the membrane of the organelle in which it is stored.

  (III) The toxin was stored in the chloroplast.

  (IV) The toxin is likely to be lipid soluble.

  (V) The toxin may be an enzyme.

  A)
  (I),(II)and(V)
  done clear
  B)
  (I), (IV) and (V)
  done clear
  C)
  (II) and (III)
  done clear
  D)
   (III) and (IV)
  done clear
  View Answer play_arrow

• question_answer73)

  Diagram represents one cardiac cycle lasting 0.8s and to the possible answers that follow it.

  Which answer describes the events that occur during period X?

  A)
  Atrial diastole and ventricular systole
  done clear
  B)
  Atrial diastole and ventricular diastole
  done clear
  C)
  Atrial systole and ventricular systole
  done clear
  D)
  Atrial systole and ventricular diastole
  done clear
  View Answer play_arrow

• question_answer74)

  The diagram shows the reversible conversion of pyruvate to lactate by the enzyme lactate dehydrogenase.

  What would be the effect of inhibition of lactate dehydrogenase in a mammalian cell under anaerobic conditions?

  A)
  A decrease in cell pH, due to the accumulation of lactic acid.
  done clear
  B)
  A decrease in glycolysis, due to the lack of NAD.
  done clear
  C)
  An increase in ATP production, due to increased amounts of reduced NAD.
  done clear
  D)
  An increase in the activity of the Krebs cycle, due to increased amounts of pyruvate.
  done clear
  View Answer play_arrow

• question_answer75)

  Given below are the steps of protein synthesis. Arrange them in correct sequence and select the correct option.

  (I)  Codon-anticodon reaction between mRNA and aminoacyl tRNA complex.

  (II) Attachment of mRNA and smaller sub-unit of ribosome.

  (III) Charging or aminoacylation of tRNA.

  (IV) Attachment of larger sub-unit of ribosome to the \[\operatorname{mRNA}-tRN{{A}_{met}}\]complex.

  (V) Linking of adjacent amino acids.

  (VI) Formation of polypeptide chain.

  A)
  (II) \[\to \](I)\[\to \](III)\[\to \](V)\[\to \](IV)\[\to \](VI)
  done clear
  B)
  (V)\[\to \](II)\[\to \](I)\[\to \](III)\[\to \](IV)\[\to \](VI)
  done clear
  C)
  (III)\[\to \](II)\[\to \](IV)\[\to \](I)\[\to \](V)\[\to \](VI)
  done clear
  D)
  (III)\[\to \](II)\[\to \](I)\[\to \](IV)\[\to \](V)\[\to \](VI)
  done clear
  View Answer play_arrow

• question_answer76)
  Patients with HIV are susceptible to a variety of infections because
  A)
  The virus produces cell surface receptors that bind to pathogens, making it easier for those pathogens to be infective.
  done clear
  B)
  Synthesising a DNA copy of the viral genome makes a person fell sick.
  done clear
  C)
  HIV attacks and destroys the T helper cells, which are central to mounting an effective immune response, making those individuals more susceptible to other infections.
  done clear
  D)
  HIV destroys B cells so that antibodies cannot be made in response to invading pathogens.
  done clear
  View Answer play_arrow

• question_answer77)

  Identify the following molecule.

  A)
  Phospholipid
  done clear
  B)
  Lecithin
  done clear
  C)
  Cholesterol
  done clear
  D)
  Oleic acid
  done clear
  View Answer play_arrow

• question_answer78)
  Significance of heat shock method in bacterial transformation facilitates
  A)
  Binding of DNA to the cell wall with the help of proteins.
  done clear
  B)
  Uptake of DNA through membrane transport proteins.
  done clear
  C)
  Uptake of DNA through transient pores in the bacterial cell wall.
  done clear
  D)
  Expression of antibiotic resistance gene.
  done clear
  View Answer play_arrow

• question_answer79)
  The endosperm found in angiospermic seed is different from that of gymnosperms in the sense that, in the former
  A)
  It is formed before fertilisation while in the latter it is formed after fertilisation.
  done clear
  B)
  It is formed after fertilisation.
  done clear
  C)
  It is cellular while in the latter it is nuclear.
  done clear
  D)
  It is nutritive while in the latter it is protective.
  done clear
  View Answer play_arrow

• question_answer80)
  Basically a verticillaster inflorescence is a type of:
  A)
  Cymose
  done clear
  B)
  Racemose
  done clear
  C)
  Raceme
  done clear
  D)
  Panicle
  done clear
  View Answer play_arrow

• question_answer81)
  Let \[{{S}_{1}}\] is set of minima and \[{{S}_{2}}\] is set of maxima for the curve \[y=9{{x}^{4}}+12{{x}^{3}}-36{{x}^{2}}-25,\] then:
  A)
  \[{{S}_{1}}=\{-2,-1\};{{S}_{2}}=\{0\}\]
  done clear
  B)
  \[{{S}_{1}}=\{-2,1\};{{S}_{2}}=\{0\}\]
  done clear
  C)
  \[{{S}_{1}}=\{-2,1\};{{S}_{2}}=\{-1\}\]
  done clear
  D)
  \[{{S}_{1}}=\{-2,2\};{{S}_{2}}=\{0\}\]
  done clear
  View Answer play_arrow

• question_answer82)
  Let \[f''(x)>0\] and \[\phi (x)=f(x)+f(2-x),x\in (0,2)\] be a function, then the function \[\phi (x)\] is:
  A)
  increasing in (0, 1) and decreasing (1,2)
  done clear
  B)
  decreasing in (0, 1) and increasing (1,2)
  done clear
  C)
  increasing in (0, 2)
  done clear
  D)
  decreasing in (0, 2)
  done clear
  View Answer play_arrow

• question_answer83)
  Let vertices of the triangle ABC is \[A(0,0),B(0,1)\] and \[C(x,y)\] and perimeter is 4 then the locus of C is-
  A)
  \[9{{x}^{2}}+8{{y}^{2}}+8y=16\]
  done clear
  B)
  \[8{{x}^{2}}+9{{y}^{2}}+9y=16\]
  done clear
  C)
  \[9{{x}^{2}}+8{{y}^{2}}-8y=16\]
  done clear
  D)
  \[8{{x}^{2}}+9{{y}^{2}}-9x=16\]
  done clear
  View Answer play_arrow

• question_answer84)
  Let the equation of a line is \[3x+5y=15\] and a point P on this line is equidistant from \[x\] and y axis In which quadrant the point P lies?
  A)
  \[1st\]   
  done clear
  B)
  \[3rd\]
  done clear
  C)
  \[4th\]
  done clear
  D)
   None of these
  done clear
  View Answer play_arrow

• question_answer85)
  The perpendicular distance of point \[(2,-1,4)\] from the line \[\frac{x+3}{10}=\frac{y-2}{-7}=\frac{z}{1}\] lies between:
  A)
  \[(2,3)\]
  done clear
  B)
  \[(3,4)\]
  done clear
  C)
  \[(4,5)\]
  done clear
  D)
  \[(1,2)\]
  done clear
  View Answer play_arrow

• question_answer86)
  If a plane passes through intersection of planes \[2x-y-4=0\] and \[y+2z-4=0\] also passes through the point \[(1,1,0).\] Then the equation of plane
  A)
  \[x-y-z=0\]
  done clear
  B)
  \[2x-z=0\]
  done clear
  C)
  \[x+2z-1=0\]
  done clear
  D)
  \[x-z-1=0\]
  done clear
  View Answer play_arrow

• question_answer87)
  If \[|\sqrt{x}-2|+\sqrt{x}\left( \sqrt{x}-4 \right)=2,\] then find the sum of roots of equation-
  A)
  12
  done clear
  B)
  8
  done clear
  C)
  4
  done clear
  D)
  16
  done clear
  View Answer play_arrow

• question_answer88)
  \[4{{x}^{2}}+{{y}^{2}}=8,\] tangent at \[(1,2)\] and another tengent at \[(a,b)\] are perpendicular, then find the value of \[{{a}^{2}}.\]
  A)
  \[\frac{2}{17}\]
  done clear
  B)
  \[\frac{1}{17}\]
  done clear
  C)
  \[\frac{8}{17}\] 
  done clear
  D)
  \[\frac{4}{17}\]
  done clear
  View Answer play_arrow

• question_answer89)
  Find the magnitude of projection of vector \[2\hat{i}+3\hat{j}+\hat{k},\] on a vector which is perpendicular to the plane containing vectors \[\hat{i}+\hat{j}+\hat{k}\] and \[\hat{i}+2\hat{j}+3\hat{k}.\]
  A)
  \[\frac{\sqrt{3}}{\sqrt{2}}\]
  done clear
  B)
  \[\frac{\sqrt{2}}{\sqrt{3}}\]
  done clear
  C)
  \[\frac{4}{\sqrt{3}}\]     
  done clear
  D)
  \[\frac{2\sqrt{2}}{\sqrt{3}}\]
  done clear
  View Answer play_arrow

• question_answer90)
  Sum of the series \[1+2.3+3.5+4.7+...\] up to 11 terms is:
  A)
  942
  done clear
  B)
  892      
  done clear
  C)
  946      
  done clear
  D)
  960
  done clear
  View Answer play_arrow

• question_answer91)

  Figure shows a \[2.0\,V\] potentiometer used for the determination of internal resistance of a \[1.5\,V\,\]cell. The balance point of the cell in open circuit is\[75\,cm\]. When a resistor of of \[0.5\Omega \] is used in the external circuit of the cell, the balance point shifts to \[60\,cm\] length of the potentiometer wire. Length of wire AB is \[100\,cm\].

  When \[0.5\,W\] is used in the external resistance then terminal voltage of cell is

  A)
  \[1.5\,V\]
  done clear
  B)
  \[1.2\,V\]
  done clear
  C)
  \[1.0\,V\]
  done clear
  D)
  \[1.5\,V\]
  done clear
  View Answer play_arrow

• question_answer92)

  The convex surface of a thin concavo-convex lens of glass of refractive index 1.5 has a radius of curvature of \[20\,cm\]. The concave surface has a radius of curvature of \[60\,cm\]. The convex side is silvered and placed on a horizontal surface as shown in the figure.

  The focal length of the combination has the magnitude

  A)
  \[8.6\,cm\]
  done clear
  B)
  \[7.5\,cm\]
  done clear
  C)
  \[1.5\,cm\]
  done clear
  D)
  \[15\,cm\]
  done clear
  View Answer play_arrow

• question_answer93)
  If various elements, i.e., resistance, capacitance and inductance which are in series and having values \[1000\Omega \], \[1\mu F\] and \[2.0H\] respectively. Given emf as, \[V=100\sqrt{2}\sin \,1000\,t\,volts\] Voltage across the inductor is
  A)
  \[70.7\,Volts\]
  done clear
  B)
  \[100\,Volts\]
  done clear
  C)
  \[141.4\,Volts\]
  done clear
  D)
  \[27.07\,Volts\]
  done clear
  View Answer play_arrow

• question_answer94)

  Two parallel vertical metallic rails AB and CD are separated by 1m. They are connected at the two ends by resistances \[{{R}_{1}}\]and \[{{R}_{2}}\] as shown in figure. Horizontal metallic bar of mass \[0.2\,kg\] slides without friction, vertically down the rails under the action of gravity. There is a uniform horizontal magnetic field of 0.6 T perpendicular to the plane of the rails. It is observed that when the terminal velocity is attained, the power dissipated in \[{{R}_{1}}\]and \[{{R}_{2}}\] are  \[0.76\,W\] and \[1.2\,W\] respectively

  \[{{R}_{1}}\] is

  A)
  \[\frac{9}{19}\Omega \]
  done clear
  B)
  \[0.2\Omega \]
  done clear
  C)
  \[5\Omega \]
  done clear
  D)
  \[0.3\Omega \]
  done clear
  View Answer play_arrow

• question_answer95)
   

  In the figure \[{{m}_{A}}={{m}_{B}}=1kg\]. Block A is neutral while\[{{q}_{B}}=-1C\].Sizes of A and B are negligible. B is released from rest at a distance \[1.8\,\,m\] from A. Initially spring is neither compressed nor elongated.

  Smooth x=0                  x=1.8m            x-axis

  If collision between A and B is perfectly inelastic, what is velocity of combined mass just after collision?

  A)
  6 m/s
  done clear
  B)
  3 m/s
  done clear
  C)
  9 m/s
  done clear
  D)
  12 m/s
  done clear
  View Answer play_arrow

• question_answer96)

  In the figure shown a conducting wire PQ of length \[l\,=\,1\,m\], is moved in a uniform magnetic field \[B\,=4T\] with constant velocity  \[v\,=\,2\,m/s\]towards right.

  Given: \[R=2\Omega \], \[C=1\,\]\[F\] and \[L=4H\]

  Currents through resistance, capacitor and inductor at any time t are\[{{l}_{1}}\],\[{{l}_{2}}\] and \[{{l}_{3}}\]respectively, Current through wire PQ is l. Find the force required to move the wire with the given constant velocity of\[2m/s\] at \[t=2s\]:

  A)
  8 N
  done clear
  B)
  16 N
  done clear
  C)
  24 N
  done clear
  D)
  32 N
  done clear
  View Answer play_arrow

• question_answer97)

  Consider the meter bridge shown in figure

  The resistance X has temperature coefficient \[{{\alpha }_{1}}\]and from RB \[\left[ 9\Omega \,shown \right]\]has \[{{\alpha }_{2}}\] For shown situation balance point is at 10 cm from left end, if temperature of system increases by \[\Delta T\] due to joule heating than the shift in the balance point is [Assume that only the resistance of X and RB changes due to change in temperature and there is no other effect]

  A)
  \[9\left( {{\alpha }_{1}}-{{\alpha }_{2}} \right)\Delta T\]
  done clear
  B)
  \[9\left( {{\alpha }_{1}}+{{\alpha }_{2}} \right)\Delta T\]
  done clear
  C)
  \[\frac{1}{9}\left( {{\alpha }_{1}}+{{\alpha }_{2}} \right)\Delta T\]
  done clear
  D)
  \[\frac{1}{9}\left( {{\alpha }_{1}}-{{\alpha }_{2}} \right)\Delta T\]
  done clear
  View Answer play_arrow

• question_answer98)
  What is the radius of a steel sphere that will float on water with exactly half the sphere submerged? Density of steel is \[7.9\times {{10}^{3}}kg/{{m}^{3}}\]and surface tension of water is \[7\times {{10}^{-2}}N\]
  A)
  \[2.6\,cm\]
  done clear
  B)
  \[4.6\,mm\]
  done clear
  C)
  \[1.2\,mm\]
  done clear
  D)
  \[6.5\,mm\]
  done clear
  View Answer play_arrow

• question_answer99)
  A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is\[90{}^\circ \]. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is
  A)
  \[\frac{M{{L}^{2}}}{6}\]
  done clear
  B)
  \[\frac{\sqrt{2}M{{L}^{2}}}{24}\]
  done clear
  C)
  \[\frac{M{{L}^{2}}}{24}\]
  done clear
  D)
  \[\frac{M{{L}^{2}}}{12}\]
  done clear
  View Answer play_arrow

• question_answer100)
  Heat is flowing through two cylinderical rods of the same material. The diameters of the rods are in the ratio 1 : 2 and the lengths in the ratio 2 : 1. If the temperature difference between the ends is same, then ratio of the rate of flow of heat through them will be
  A)
  2 : 1
  done clear
  B)
  8 : 1
  done clear
  C)
  1 : 1
  done clear
  D)
  1 : 8
  done clear
  View Answer play_arrow

• question_answer101)

  A hypothetical reaction :

  \[{{A}_{2}}+{{B}_{2}}\to 2AB\] Follows mechanism as given below:

  \[{{A}_{2}}\overset{{{k}_{c}}}{\mathop{\rightleftharpoons }}\,A+A\]..............(fast)

  \[A+{{B}_{2}}\overset{{{k}_{1}}}{\mathop{\rightleftharpoons }}\,AB+B\].........(slow)

  \[A+B\overset{{{k}_{2}}}{\mathop{\rightleftharpoons }}\,AB\].........(fast)

  The order of overall reaction is:

  A)
  2.5
  done clear
  B)
  1    
  done clear
  C)
  3/2       
  done clear
  D)
  Zero
  done clear
  View Answer play_arrow

• question_answer102)
  You are given the following cell at 298 K,  \[Zn\left| \,\begin{matrix}    Z{{n}^{++}}\,(aq.)  \\    00.1\,M  \\ \end{matrix}\, \right|\,\,\,\left| \,\begin{matrix}    HCl\,(aq.)  \\    1.0\,lit  \\ \end{matrix}\, \right|\,\,\,\left| \,\begin{matrix}    {{H}_{2}}(g)  \\    1.0\,atm  \\ \end{matrix}\, \right|Pt\] With \[{{E}_{cell}}=0.701\] and \[E_{z{{n}^{2+}}/Zn}^{0}=-0.76\,\,V.\] Which of the following amounts of NaOH (equivalent weight = 40) will just make the pH of cathodic compartment to be equal to 7. 0:
  A)
  0.4 gms
  done clear
  B)
  4 gms
  done clear
  C)
  10 gms
  done clear
  D)
  2 gms
  done clear
  View Answer play_arrow

• question_answer103)

  The ground state electronic configuration of the elements, U, V, W, X, Y and Z are as follows :

  \[U\] \[1{{s}^{2}}2{{s}^{2}}2{{p}^{3}}\] \[V\] \[1{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{1}}\] \[W\] \[1{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{2}}\] \[X\] \[1{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}3{{d}^{5}}4{{s}^{2}}\] \[Y\] \[1{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}3{{d}^{10}}4{{s}^{2}}4{{p}^{6}}\] Determine which sequence of elements best fits the following statements:

  (I) element-forms a carbonate which is not decomposed by heating

  (II) Element is most likely to form coloured ionic compounds

  (III) Element is a monoatomic gas

  A)
   I\[\to \]V, II\[\to \]X, III\[\to \]Y   
  done clear
  B)
   I\[\to \]V, II\[\to \]Y, III\[\to \]U
  done clear
  C)
   I\[\to \]U, II\[\to \]Y, III\[\to \]X   
  done clear
  D)
   I\[\to \]W, II\[\to \]X, III\[\to \]Y
  done clear
  View Answer play_arrow

• question_answer104)
  The maximum radius of an atom which can occupy empty spaces (voids) in a body cantred structure, of an element having atomic radius R, without causing any distortion, can be:
  A)
  \[\left( \frac{2-\sqrt{3}}{\sqrt{3}} \right)R\]
  done clear
  B)
  \[\left( \sqrt{\frac{5}{3}}-1 \right)R\]
  done clear
  C)
  \[\left( \sqrt{\frac{4}{3}}-1 \right)R\]        
  done clear
  D)
  \[(\sqrt{2}-1)R\]
  done clear
  View Answer play_arrow

• question_answer105)
  How many moles of sucrose should be dissolved in 500 gms of water so as to get a solution which has a difference of \[104{}^\circ C\] between boiling point and freezing point. \[({{K}_{f}}=1.86\,\,K\,\,kg\,\,mo{{l}^{-1}},\] \[{{K}_{b}}=0.52\,\,K\,\,Kg\,\,mo{{l}^{-1}})\]
  A)
  1.68     
  done clear
  B)
  3.36
  done clear
  C)
  8.40     
  done clear
  D)
  0.840
  done clear
  View Answer play_arrow

• question_answer106)
  For the decomposition of \[{{H}_{2}}{{O}_{2}}\] (aq) it was found that \[{{V}_{{{O}_{2}}}}\] (t = 15 min.) was 100 mL (at \[0{}^\circ C\]and 1 atm) while \[{{V}_{{{O}_{2}}}}\] (maximum) was 200 mL (at \[0{}^\circ C\] and 2 atm) If the same reaction had been followed by the titration method and if \[V_{KMn{{O}_{4}}}^{(CM)}\] (t = 0) had been 40 mL, what would \[V_{KMn{{O}_{4}}}^{(cM)}\](t = 15 min) have been?
  A)
  30 mL
  done clear
  B)
  25 mL
  done clear
  C)
  20 mL
  done clear
  D)
  15 mL
  done clear
  View Answer play_arrow

• question_answer107)
  The final product C, obtained in this reaction Would be:
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer108)

  Consider the following statements in respect of the reaction

  \[{{(C{{H}_{3}})}_{3}}CBr+\overset{-}{\mathop{O}}\,H\xrightarrow{Alcohol}{{(C{{H}_{3}})}_{3}}COH+B{{r}^{-}}\]

  1. It is a nucleophilic substitution

  2. It is a two-step reaction

  3. The rate of the reaction depends only on the concentration of the alkyl halide

  4. It is an SN2 reaction

  5. Carbocation intermediate is formed in this reaction.

  Which of the above statement are correct?

  A)
  1, 2, 3 and 5
  done clear
  B)
  1, 2 and 5 only
  done clear
  C)
  3 and 4 only
  done clear
  D)
  2, 3 and 4
  done clear
  View Answer play_arrow

• question_answer109)
  Addition of \[B{{r}_{2}}\] to 1-pentene would produce 1, 2-dibromopentane which is :
  A)
  meso
  done clear
  B)
  achiral
  done clear
  C)
  optically active
  done clear
  D)
  racemic
  done clear
  View Answer play_arrow

• question_answer110)

  Consider the following compounds :

  Which one of the following is correct in respect of the above compounds?

  A)
  I and II are enantiomers
  done clear
  B)
  I and III are enantiomers
  done clear
  C)
  II and III are identical
  done clear
  D)
  I and III are identical
  done clear
  View Answer play_arrow

• question_answer111)

  The schematic representation of a circulatory system of a scorpion is shown below.

  Select the correct interpretation.

  A)
  The schematic represents a closed vascular system.
  done clear
  B)
  The heart receives only oxygenated blood.
  done clear
  C)
  Body parts receive oxygenated and de-oxygenated i.e., mixed type of blood.
  done clear
  D)
  The schematic is erroneous as it indicates that pericardial sinus receives de-oxygenated blood.
  done clear
  View Answer play_arrow

• question_answer112)

  Following is a pedigree with marriage between first cousins:

  Choose the correct diagram representing the inheritance of alleles in this pedigree.

   
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer113)

  Arrangement of gene sequences in representative 50kb segments of two organisms is shown. Genes above the line are transcribed left to right and below the line to the left.

  (I)  Each segment indicates single stranded. DNA in 5' to 3' orientation (left to right).

  (II) Segment I is likely to represent a prokaryote and segment II, a eukaryote such as worm.

  (III)Segment II is less likely to have stop codons as compared to segment I.

  Select the option with correct statements.

  A)
  (I) only
  done clear
  B)
  (II) only
  done clear
  C)
  (III) only
  done clear
  D)
  (I), (II) and (III)
  done clear
  View Answer play_arrow

• question_answer114)
  In humans, attached earlobes are a dominant feature over free earlobes while hypertrichosis of the ear is a holandric (Y-linked) feature. A person with attached earlobes and extensive hair on pinna married another person having free earlobes. The couple had one son with attached earlobes and hairy pinna, another son with free earlobes and hairy pinna and two daughters with attached earlobes. One of the daughters married a person with free earlobes and sparse hair on pinna. They had two sons. What would be the characteristics of their pinnae?
  A)
  There would be equal chances for both having free or attached earlobes and sparse hair on pinnae.
  done clear
  B)
  They would have hairy pinnae and there would be 1 in 8 chance that both will have attached earlobes.
  done clear
  C)
  There is an equal chance for the two to have either hairy pinnae or sparse hair on pinnae.
  done clear
  D)
  Both will have free earlobes and extensive hair on pinnae.
  done clear
  View Answer play_arrow

• question_answer115)
  If redundancy in the role of species is widespread in nature. How would ecosystem function change with increasing biodiversity?
  A)
    
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer116)

  Composition of various parts of the circulatory system in humans (Artery, vein, arteriole, venule and capillary) is depicted in the form of bar graphs. Select the correct option with appropriate part/structure and composition.

  A)
  A-Venule; B-Capillary; C- Vein; D-Arteriole; E-Artery
  done clear
  B)
  A-Capillary; B-Artery; C-Vein; D-Arteriole; E-Venule
  done clear
  C)
  A - Venule; B-Arteriole; C-Artery; D-Capillary, E-Vein
  done clear
  D)
  A-Arteriole; B-Capillary, C-Artery; D-Venule; E-Vein
  done clear
  View Answer play_arrow

• question_answer117)

  The diagram shows the changes in temperature of the reaction mixture during the Polymerase Chain Reaction (PCR).

  The main events during one cycle of the reaction are listed below.

  I. Binding of RNA primers

  II. DNA synthesis

  III. Separation

  Which combination correctly matches each event with the temperature in the reaction mixture?

  A)

  X	Y	Z
  I	II	III

  done clear
  B)

  X	Y	Z
  III	I	II

  done clear
  C)

  X	Y	Z
  II	III	I

  done clear
  D)

  X	Y	Z
  III	II	I

  done clear
  View Answer play_arrow

• question_answer118)

  The restriction fragment shown below contains a gene whose recessive allele is lethal. The normal allele has restriction sites for enzymes \[BamI\]at sites I and II whereas recessive allele lacks site I. An individual who has a sister with the lethal trait is being tested to determine if he is a carrier of that lethal trait.

  Which of the band patterns would be produced on a gel if he is a carrier?

  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer119)

  Many molecules are chiral \[i.e.,\] their mirror images are non-superimposable. Which of the following could be affected if the chirality of a molecule is changed in a biological system?

  (I)  Taste reception

  (II) Smell perception

  (III) Toxicity

  (IV) Mode of action

  A)
  (I) and (II)
  done clear
  B)
  (I), (II) and (III)
  done clear
  C)
  (III) and (IV)
  done clear
  D)
  (I),(II),(III) and (IV)
  done clear
  View Answer play_arrow

• question_answer120)
  In corn, three enzymes catalyse the same reaction. Corresponding genes \[\left( {{a}^{+}},{{b}^{+}}and\,{{c}^{+}} \right)\]are located on three different chromosomes. The reaction is as follows:  Colourless compound\[\xrightarrow{}\]red compound The normal functioning of any one of these genes is sufficient to convert colourless compound to the red compound. The mutant alleles of \[{{a}^{+}},{{b}^{+}}\] and \[{{\operatorname{c}}^{+}}\] are a, b and c respectively. If red\[\left( {{a}^{+}}/a,{{b}^{+}}/b,{{c}^{+}}/c \right)\] plants are selfed, what proportion of progeny will be colourless?      
  A)
  1/8
  done clear
  B)
   1/16            
  done clear
  C)
  1/64     
  done clear
  D)
   1/4  
  done clear
  View Answer play_arrow