KVPY Sample Paper

done KVPY Stream-SX Model Paper-22 Total Questions - 120    [Download]

• question_answer1)
  Distance of the point \[P\,(2,\,\,-3,\,\,4)\] from plane \[\bar{r}.(\hat{i}+\hat{j}+\hat{k})=5\] measured parallel to x-axis, is
  A)
  1
  done clear
  B)
  \[\sqrt{2}\]
  done clear
  C)
  2
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer2)
  Average length of all vertical chords of the curve \[y=\sqrt{4-{{x}^{2}}}\]is
  A)
  \[\frac{\pi }{2}\]
  done clear
  B)
   \[\frac{\pi }{4}\]
  done clear
  C)
  \[\frac{\pi }{6}\]
  done clear
  D)
  \[\pi \]
  done clear
  View Answer play_arrow

• question_answer3)
  Graph of \[y=\frac{|\sin x|}{\sin x}\] is
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer4)
  The function\[f\,(x)=\left[ \begin{matrix}    [x]+\sqrt{x-[x]} & \text{for} & x\ge 0  \\    \sin x & \text{for} & x<0  \\ \end{matrix} \right.\]is:
  A)
  cont. only for all non-negative integers
  done clear
  B)
  cont. only for all positive integers
  done clear
  C)
  discount only for all negative integers
  done clear
  D)
  cont. for all real numbers.
  done clear
  View Answer play_arrow

• question_answer5)
  Let \[f\,(x)=\left| \begin{matrix}    2{{\cos }^{2}}x & \sin \,(2x) & -\sin x  \\    \sin 2x & 2{{\sin }^{2}}x & \cos x  \\    \sin x & -\cos x & 0  \\ \end{matrix} \right|\] then \[\int\limits_{0}^{\pi /2}{[f\,(x)+f'\,(x)]\,\,dx=}\]
  A)
   \[\pi \]
  done clear
  B)
  \[\pi /2\]
  done clear
  C)
  \[2\pi \]
  done clear
  D)
  zero
  done clear
  View Answer play_arrow

• question_answer6)
  If \[A+B+C=\pi ,\] then the value of the determinant \[D=\left| \begin{matrix}    {{\sin }^{2}}A & \cot A & 1  \\    {{\sin }^{2}}B & \cot B & 1  \\    {{\sin }^{2}}C & \cot C & 1  \\ \end{matrix} \right|=\]
  A)
  1
  done clear
  B)
  \[-1\]
  done clear
  C)
  0
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer7)
  The function \[f:R\to R\] is defined by \[f\,(x)=-{{x}^{3}}+2a{{x}^{2}}-3bx+c,\] where a, b, \[c\in R,\] is a bijective function. If \[4{{a}^{2}}\le kb,\] then value of k may be
  A)
  11
  done clear
  B)
  13
  done clear
  C)
  17
  done clear
  D)
  All of these
  done clear
  View Answer play_arrow

• question_answer8)
  \[\int{\sqrt{x-3}\,({{\sin }^{-1}}\ell nx+{{\cos }^{-1}}\ell n\,x)}\,\,dx\] is equal to
  A)
  \[\frac{\pi }{3}{{(x-3)}^{3/2}}+c\]
  done clear
  B)
  0
  done clear
  C)
  does not exist    
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer9)
  If \[x<0,\] then \[{{\tan }^{-1}}\,\,\left( \frac{1}{x} \right)=\]
  A)
  \[{{\cot }^{-1}}x\]
  done clear
  B)
  \[\pi +{{\cot }^{-1}}x\]
  done clear
  C)
  \[\pi -{{\cot }^{-1}}x\]
  done clear
  D)
  \[-\pi +{{\cot }^{-1}}x\]
  done clear
  View Answer play_arrow

• question_answer10)
  \[\underset{x\,\to \,0}{\mathop{\text{Limit}}}\,\,\,\frac{{{\log }_{e}}[x]}{x}\] where [ ] denotes the greatest integer function is:
  A)
  0         
  done clear
  B)
  1
  done clear
  C)
  \[-1\]
  done clear
  D)
  non-existent
  done clear
  View Answer play_arrow

• question_answer11)
  If p > 2 then the. maximum value of the function \[f\,(x)=\cos 2x+2p\sin x\]is:
  A)
  \[2p-3\]
  done clear
  B)
  \[-\,1\]
  done clear
  C)
  \[-\,3-2p\]
  done clear
  D)
  \[-1+2p\]
  done clear
  View Answer play_arrow

• question_answer12)
  If the function f(x) increases in the interval (a, b) then the function \[\phi \,(x)={{[f\,(x)]}^{2}}:\]
  A)
  increases in (a, b)
  done clear
  B)
  decreases-in (a, b)
  done clear
  C)
   we cannot say that\[\phi \,(x)\]increases or decreases in (a, b)
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer13)
  An isosceles triangle is chosen from all the triangles whose vertices are chosen from the vertices of a cube. If the probability that the chosen triangle is equilateral is p, then find the value of 840 p.
  A)
  210
  done clear
  B)
  410
  done clear
  C)
  230
  done clear
  D)
  240
  done clear
  View Answer play_arrow

• question_answer14)
  Number of possible ordered pair(s) (a, b) for each of which the equality, \[a\,(\cos x-1)+{{b}^{2}}=\cos \,(ax+{{b}^{2}})-1\] holds true for all \[x\in R\] are:
  A)
  0
  done clear
  B)
  1
  done clear
  C)
  2
  done clear
  D)
   infinite
  done clear
  View Answer play_arrow

• question_answer15)
  If a, \[{{\alpha }_{1}},\]\[{{\alpha }_{2}},\]\[...{{\alpha }_{2n\,-1}},\] b are in A.P., a, \[{{\beta }_{1}},\]\[{{\beta }_{2}},\]?, \[{{\beta }_{2n\,-1}},\]b are in G.P. and a, \[{{\gamma }_{1}},\]\[{{\gamma }_{2}},\]\[...{{\gamma }_{2n\,-1}},\] b are in H.P., where a, b are positive, then the equation \[{{\alpha }_{n}}\,\,{{x}^{2}}-{{\beta }_{n}}\,\,x+{{\gamma }_{n}}=0\] has
  A)
  real and equal, roots
  done clear
  B)
  real and unequal roots
  done clear
  C)
  imaginary roots
  done clear
  D)
   roots which are in A.P.
  done clear
  View Answer play_arrow

• question_answer16)
  The limiting position of the point of intersection of the straight lines, \[3x+5y=1\] and \[(2+c)\,x+5{{c}^{2}}y=1\] as c tends to one is:
  A)
  \[\left( \frac{2}{5},\,\,-\frac{1}{25} \right)\]
  done clear
  B)
  \[\left( \frac{1}{2},\,\,-\frac{1}{10} \right)\]
  done clear
  C)
  \[\left( \frac{3}{8},\,\,-\frac{1}{40} \right)\]
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer17)
  The set of values of p for which the equation \[|\ln x|-\,px=0\] possess three roots is :
  A)
  (0, 1/e)
  done clear
  B)
  (0, 1)
  done clear
  C)
  \[(0,\,\,\sqrt{3})\]
  done clear
  D)
  (0, e)
  done clear
  View Answer play_arrow

• question_answer18)
  The equation \[|\sin \,x|\,\,=\sin x+3\] has in\[[0,\,\,2\pi ]:\]
  A)
  no root
  done clear
  B)
  only one root
  done clear
  C)
  two roots
  done clear
  D)
  more than two roots
  done clear
  View Answer play_arrow

• question_answer19)
  \[\frac{\tan 2\alpha +\tan 3\alpha -\tan 5\alpha }{\tan 2\alpha .\tan 3\alpha .\tan 5\alpha }=?\]
  A)
  \[\tan \alpha \]
  done clear
  B)
  \[\cot \alpha \]
  done clear
  C)
  \[-1\]
  done clear
  D)
   1
  done clear
  View Answer play_arrow

• question_answer20)
  If \[\vec{p}=3\vec{a}-5\vec{b}\,\,;\]\[\vec{q}=2\vec{a}+\vec{b}\,\,;\]\[\vec{r}=\vec{a}+4\vec{b}\,\,;\]\[\vec{s}=-\,\vec{a}+\vec{b}\] are four vectors such that \[\sin \,(\vec{p}\wedge \vec{q})=1\] and \[\sin \,(\vec{r}\wedge \vec{s})=1\]then \[\cot \,(\vec{a}\wedge \vec{b})\] is:
  A)
  \[-\frac{19}{5\sqrt{43}}\]
  done clear
  B)
  0
  done clear
  C)
  \[\frac{19}{5\sqrt{43}}\]
  done clear
  D)
  1
  done clear
  View Answer play_arrow

• question_answer21)

  One quarter sector is cut from a uniform circular disc of radius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing through the center of the original disc. Its moment of inertia about the axis of rotation is

  A)
  \[\frac{1}{2}M{{R}^{2}}\]
  done clear
  B)
  \[\frac{1}{4}M{{R}^{2}}\]
  done clear
  C)
  \[\frac{1}{8}M{{R}^{2}}\]
  done clear
  D)
  \[\sqrt{2}M{{R}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer22)
  A gaseous mixture enclosed in a vessel consists of 1 gram mole of gas \[A\]with (\[\gamma \]= 5/3) and another \[B\] with (g = 7/5) at a temperature\[T\]. The gases\[A\] and \[B\]do not react with each other and assume to be idea. Then the number of gram moles of the gas \[B\]is (if \[\gamma \] for the gaseous mixture is 19/13).
  A)
  3
  done clear
  B)
  2
  done clear
  C)
  4
  done clear
  D)
  6
  done clear
  View Answer play_arrow

• question_answer23)

  A charged particle (of charge q and mass m) is projected between plates of a parallel plate capacitor as shown at\[t=0\]. Time t at which instantaneous power delivered by the electric field to the particle is zero is

  A)
  \[\frac{2mu{{\varepsilon }_{0}}\sin \alpha }{q\sigma }\]
  done clear
  B)
  \[\frac{mu{{\varepsilon }_{0}}\sin \alpha }{q\sigma }\]
  done clear
  C)
  \[\frac{mu{{\varepsilon }_{0}}\sin \alpha }{2q\sigma }\]  
  done clear
  D)
  \[\frac{mu{{\varepsilon }_{0}}\sin \alpha }{4q\sigma }\]
  done clear
  View Answer play_arrow

• question_answer24)

  Two blocks each of mass m in the device are pulled by a force \[F=\text{ }mg/2\] as shown in figure. All the contact surfaces are smooth. The acceleration of block A is

  A)
  \[\frac{\sqrt{5}}{4}g\]
  done clear
  B)
  \[\frac{\sqrt{3}}{2}g\]
  done clear
  C)
  \[\frac{g}{2}\]
  done clear
  D)
  \[\frac{g}{4}\]  
  done clear
  View Answer play_arrow

• question_answer25)
  The space shuttle astronauts use a chair to measure their mass. The chair is attached to a spring and is free to oscillate back and forth. The frequency of the oscillation is measured and that is used to calculate the total mass \[m\] attached to the spring. If the spring constant of the spring \[k\] is measured in \[\operatorname{kg}/{{s}^{2}}\]and the chair's frequency \[f\] is 0.50 \[{{\operatorname{s}}^{-1}}\] for a 62 kg astronaut, what is the chair's frequency for a 75kg astronaut? The chair itself has a mass of 10.0kg.
  A)
  \[0.46{{s}^{-1}}\]
  done clear
  B)
  \[0.12{{s}^{-1}}\]
  done clear
  C)
  \[0.78{{s}^{-1}}\]
  done clear
  D)
  \[0.92{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer26)
  A point source of light is placed at the centre of a solid cube of side 'a'. What fraction of area of each face must be covered so that the object is not visible through any face? (R.I. of cube =\[\mu \]):
  A)
  \[\frac{1}{{{\mu }^{2}}-1}\]
  done clear
  B)
  \[\frac{\pi }{2\left( {{\mu }^{2}}-1 \right)}\]
  done clear
  C)
  \[\frac{\pi }{4\left( {{\mu }^{2}}-1 \right)}\]
  done clear
  D)
  \[\frac{{{\pi }^{2}}{{\mu }^{2}}}{4\left( {{\mu }^{2}}-1 \right)}\]
  done clear
  View Answer play_arrow

• question_answer27)
  An object of mass m is travelling on a horizontal surface. There is a coefficient of kinetic friction \[\mu \] between the object and the surface. The object has speed v when it reaches at \[x=0\] and later encounters a spring. The object compresses the spring, stops and then recoils and travel in opposite direction. When object reaches \[x=0\] on its return trip, it stops. From this information the spring constant k is
  A)
  \[\frac{2{{\mu }^{2}}m{{g}^{2}}}{{{v}^{2}}}\]
  done clear
  B)
  \[\frac{4{{\mu }^{2}}m{{g}^{2}}}{{{v}^{2}}}\]
  done clear
  C)
  \[\frac{3{{\mu }^{2}}m{{g}^{2}}}{{{v}^{2}}}\]
  done clear
  D)
  \[\frac{16{{\mu }^{2}}m{{g}^{2}}}{{{v}^{2}}}\]
  done clear
  View Answer play_arrow

• question_answer28)

  A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant \[\kappa =2\]. The level of liquid is \[\frac{d}{3}\] initially. Suppose the liquid level decreases at a constant speed v, the time constant as a function of time \[t\] is

  A)
  \[\frac{6{{\in }_{0}}R}{5d+3vt}\]
  done clear
  B)
  \[\frac{\left( 15d+9vt \right){{\in }_{0}}R}{2{{d}^{2}}-3dvt-9{{v}^{2}}{{t}^{2}}}\]
  done clear
  C)
  \[\frac{6{{\in }_{0}}R}{5d-3vt}\]
  done clear
  D)
  \[\frac{\left( 15d-9vt \right){{\in }_{0}}R}{2{{d}^{2}}-3dvt-9{{v}^{2}}{{t}^{2}}}\]
  done clear
  View Answer play_arrow

• question_answer29)

  A vessel of volume \[V\] is evacuated by means of a piston air pump. One piston stroke captures the volume \[{{V}_{0}}\]. The pressure in the vessel is to be reduced to \[\left( \frac{1}{n} \right)\] of its original pressure \[{{P}_{0}}.\] If the process is assumed to be isothermal and air is considered an ideal gas the number of strokes needed in the process is

  A)
  \[\left[ \frac{\ell nn}{\ell n\left( 1-\frac{{{v}_{0}}}{V} \right)} \right]\]
  done clear
  B)
  \[\left[ \frac{\ell nn}{\ell n\left( 1+\frac{{{v}_{0}}}{V} \right)} \right]\]
  done clear
  C)
  \[\left[ \frac{\ell n\left( 1-\frac{{{v}_{0}}}{V} \right)}{\ell n} \right]\]          
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer30)
  A glass plate 0.40 micron thick is illuminated by a beam of white light normal to the plate. The refractive index of glass is 1.50 and the limits of the visible spectrum are \[{{\lambda }_{V}}=4000\ \overset{\text{o}}{\mathop{\text{A}}}\,\] and \[{{\lambda }_{\operatorname{R}}}=7000\,\overset{\text{o}}{\mathop{\text{A}}}\,\]. The wavelengths that get intensified in the reflected beam are
  A)
  \[4800\,\overset{\text{o}}{\mathop{\text{A}}}\,\] and \[5200\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
  B)
  \[4800\,\overset{\text{o}}{\mathop{\text{A}}}\,\]and \[6700\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
  done clear
  C)
   only
  done clear
  D)
  \[5200\,\overset{\text{o}}{\mathop{\text{A}}}\,\] only
  done clear
  View Answer play_arrow

• question_answer31)

  A circuit is arranged as shown. At time \[\operatorname{t}=0 s,\] switch S is placed in position 1. At  t= 5 s, contact is changed from 1 to 2. The voltage across the capacitor is measured at t = 5 s, and at t = 6 s. Let these voltages be \[{{\operatorname{V}}_{1}}\] and \[{{\operatorname{V}}_{2}}\] respectively. Then \[{{\operatorname{V}}_{1}}\] and \[{{\operatorname{V}}_{2}}\] respectively are

  A)
  10 volt and 0 volt
  done clear
  B)
  9.18 volt and 3.67 volt
  done clear
  C)
  9.18 volt and 3.37 volt
  done clear
  D)
  10 volt and 3.67 volt
  done clear
  View Answer play_arrow

• question_answer32)
  The age of an organic material is usually deter-mined by measuring its \[^{14}C\] content (carbon dating). The ratio of the number of stable iso- tope of \[^{14}C\] atoms present to the number of ra-dioactive \[^{14}C\]atoms in a certain material is found to be \[3:1.\] If the half-life of \[^{14}C\] atoms is 5730 years, the age of the material under investiga-tions is
  A)
  7944 years
  done clear
  B)
  17190 years
  done clear
  C)
  11460 years
  done clear
  D)
  13972 years
  done clear
  View Answer play_arrow

• question_answer33)

  A conducting loop is being pulled with speed \[v\] from region I of magnetic field to region II. If resistance of the loop is \[R\], current induced in the loop at the instant shown is

  A)
  \[\frac{{{B}_{0}}\ell v}{R},\]Clockwise
  done clear
  B)
  \[\frac{{{B}_{0}}\ell v}{R},\]anticlockwise
  done clear
  C)
  \[\frac{3{{B}_{0}}\ell v}{R},\]clockwise
  done clear
  D)
  \[\frac{3{{B}_{0}}\ell v}{R},\]anticlockwise
  done clear
  View Answer play_arrow

• question_answer34)
  When a YDSE is performed using a monochromatic source of light, fringe width is found to be 1.2 mm The minimum distance above central maxima at which intensity is \[{{(3/4)}^{\operatorname{th}}}\]of the maximum value is:
  A)
  0.1mm
  done clear
  B)
  0.2mm
  done clear
  C)
  0.3mm
  done clear
  D)
  0.4mm
  done clear
  View Answer play_arrow

• question_answer35)
  The transfer ratio \[\beta \] of transistor is 50. The input resistance of a transistor when used in C.E. (common emitter) configuration is \[1k\Omega \]. The peak value of the collector A.C. current for an A.C. input voltage of 0.01 V peak is
  A)
  \[100\mu \operatorname{A}\]
  done clear
  B)
  \[.01\operatorname{mA}\]
  done clear
  C)
  \[500\mu \operatorname{A}\]
  done clear
  D)
  \[25\operatorname{mA}\]
  done clear
  View Answer play_arrow

• question_answer36)
  A metre long narrow bore held horizontally (and closed at one end) contains a 76 cm long mercury thread, which traps a 15 cm column of air. What happens if the tube is held vertically with the open end at the bottom?
  A)
  23.8 cm of mercury flows out
  done clear
  B)
  27.8 cm of mercury flows out
  done clear
  C)
  32.8 cm of mercury flows out
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer37)
  A thin uniform ring of radius \[R\] carrying uniform charge \[Q\] and mass \[M\] rotates about its axis with angular velocity \[\omega \]. The ratio of its magnetic moment and angular momentum is:
  A)
  \[\frac{Q}{M}\]
  done clear
  B)
  \[\frac{M}{Q}\]
  done clear
  C)
  \[\frac{Q}{2M}\]           
  done clear
  D)
  \[\frac{M}{2Q}\]
  done clear
  View Answer play_arrow

• question_answer38)

  The reflecting surface is represented by the equation \[2x={{y}^{2}}\] as shown in the figure. A ray travelling horizontal becomes vertical after reflection. The co-ordinates of the point of incidence are:

  A)
  (1/2, 1)
  done clear
  B)
  (1, 1/2)          
  done clear
  C)
  (1/2, 1/2)
  done clear
  D)
  none
  done clear
  View Answer play_arrow

• question_answer39)

  The potential energy of a particle of mass m is given by

  \[U\left( x \right)=\left\{ \begin{align}   & {{E}_{0}};\,0\le x\le 1 \\  & 0;\,\,\,\,\,\,\,\,\,x>1 \\ \end{align} \right.\]

  \[{{\lambda }_{1}}\] and \[{{\lambda }_{2}}\] are the de-Broglie wavelengths of the particle, when \[0\le x\le 1\]and \[x>1\]respectively. If the total energy of particle is \[2{{E}_{0}},\] the ratio \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}\] will be

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

• question_answer40)

  A student sees the top edge and the bottom centre \[C\] of a pool simultaneously from an angle \[\theta \] above the horizontal as shown in the figure.

  The refractive index of water which fills up to the top edge of the pool is \[\frac{4}{3}.\operatorname{if}\frac{h}{x}=\frac{7}{4},\] then \[\theta \]is

  A)
  \[\frac{2}{7}\]
  done clear
  B)
  \[\frac{8}{3\sqrt{45}}\]
  done clear
  C)
  \[\frac{8}{3\sqrt{53}}\]
  done clear
  D)
  \[\frac{8}{21}\]
  done clear
  View Answer play_arrow

• question_answer41)
  Which of the following molecules has the maximum dipole moment?
  A)
  \[C{{O}_{2}}\]
  done clear
  B)
  \[C{{H}_{4}}\]    
  done clear
  C)
  \[N{{H}_{3}}\]
  done clear
  D)
  \[N{{F}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer42)
  Which one of the following does not undergo iodoform reaction?
  A)
  \[{{C}_{2}}{{H}_{5}}-\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{CH}}\,-C{{H}_{3}}\]
  done clear
  B)
  \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  OH \end{smallmatrix}}{\mathop{CH}}\,-C{{H}_{3}}\]
  done clear
  C)
  \[{{C}_{2}}{{H}_{5}}-\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{C}}\,-{{C}_{2}}{{H}_{5}}\]
  done clear
  D)
  \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  O{{H}_{3}} \end{smallmatrix}}{\mathop{C{{H}_{2}}}}\,\]
  done clear
  View Answer play_arrow

• question_answer43)
  Correct order of bond angles for the following species is
  A)
  \[N{{H}_{3}}>PC{{l}_{3}}>BC{{l}_{3}}\]
  done clear
  B)
  \[BC{{l}_{3}}>N{{H}_{3}}>PC{{l}_{3}}\]
  done clear
  C)
  \[BC{{l}_{3}}>PC{{l}_{3}}>N{{H}_{3}}\]
  done clear
  D)
  \[PC{{l}_{3}}>BC{{l}_{3}}>N{{H}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer44)
  The complexes \[[Co{{(N{{H}_{3}})}_{6}}][Cr{{(CN)}_{6}}]\] and \[[Cr{{(N{{H}_{3}})}_{6}}][Co{{(CN)}_{6}}]\] are the examples of which type of isomerism?
  A)
   lonisation isomerism
  done clear
  B)
  Coordination isomerism
  done clear
  C)
  Geometrical isomerism
  done clear
  D)
  Linkage isomerism
  done clear
  View Answer play_arrow

• question_answer45)
  Which of the following compound is aromatic?
  A)
  
  done clear
  B)
  
  done clear
  C)
        
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer46)
  Which of the following represents physical adsorption?
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer47)
  In the reversible reaction,\[2N{{O}_{2}}{{N}_{2}}{{O}_{4}}\]the rate of disappearance of \[N{{O}_{2}}\] is equal to
  A)
  \[\frac{2{{k}_{1}}}{{{k}_{2}}}{{[N{{O}_{2}}]}^{2}}\]                     
  done clear
  B)
  \[2{{k}_{1}}{{[N{{O}_{2}}]}^{2}}-2{{k}_{2}}[{{N}_{2}}{{O}_{4}}]\]
  done clear
  C)
  \[2{{k}_{1}}{{[N{{O}_{2}}]}^{2}}-{{k}_{2}}[{{N}_{2}}{{O}_{4}}]\]
  done clear
  D)
  \[(2{{k}_{1}}-{{k}_{2}})[N{{O}_{2}}]\]
  done clear
  View Answer play_arrow

• question_answer48)
   \[Xe{{F}_{4}}\] reacts with water at  \[-\,80{}^\circ C\]  to give
  A)
  \[XeO{{F}_{2}}\]
  done clear
  B)
  \[XeO{{F}_{4}}\]
  done clear
  C)
  \[Xe{{O}_{3}}\]
  done clear
  D)
  \[Xe{{O}_{2}}{{F}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer49)

  Calculate the emf of the cell in which the following reaction takes place.

  \[Ni(s)+2A{{g}^{+}}(0.002M)\xrightarrow{{}}N{{i}^{2+}}(0.160M)+2Ag\,(s)\] Given that  \[E_{cell}^{{}^\circ }=1.05V\]

  A)
  \[0.61\text{ }V\]
  done clear
  B)
  \[0.81\text{ }V\]  
  done clear
  C)
  \[0.82\text{ }V\]
  done clear
  D)
  \[0.023\text{ }V\]
  done clear
  View Answer play_arrow

• question_answer50)
  The structure of diborane \[({{B}_{2}}{{H}_{6}})\] contains
  A)
  four \[2C-2{{e}^{-}}\]bonds and four \[3C-2{{e}^{-}}\]bonds
  done clear
  B)
  two \[2C-2{{e}^{-}}\]bonds and two \[3C-2{{e}^{-}}\]bonds
  done clear
  C)
  two \[2C-2{{e}^{-}}\]bonds and four \[3C-2{{e}^{-}}\]bonds
  done clear
  D)
  four \[2C-2{{e}^{-}}\]bonds and two\[3C-2{{e}^{-}}\]bonds
  done clear
  View Answer play_arrow

• question_answer51)
  Acetophenone when reacted with a base, \[{{C}_{2}}{{H}_{5}}ONa,\] yields a stable compound, which has the structure.
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer52)
  If one strand of DNA has the sequence ATGCTTGA, the sequence in the complementary strand would be
  A)
  TCCGAACT
  done clear
  B)
  TACGTAGT
  done clear
  C)
  TACGAACT
  done clear
  D)
  TACGTAGT
  done clear
  View Answer play_arrow

• question_answer53)
  Two Faraday of electricity is passed through a solution of \[CuS{{O}_{4}}.\] The mass of copper deposited at the cathode is (at. mass of \[Cu=63.5\text{ }u\])
  A)
  0 g
  done clear
  B)
  63.5 g
  done clear
  C)
  2 g
  done clear
  D)
  127 g
  done clear
  View Answer play_arrow

• question_answer54)
  Which of the following is a redox reaction?
  A)
  \[NaCl+KN{{O}_{3}}\xrightarrow{{}}NaN{{O}_{2}}+KCl\]
  done clear
  B)
  \[Ca{{C}_{2}}{{O}_{4}}+2HCl\xrightarrow{{}}CaC{{l}_{2}}+{{H}_{2}}{{C}_{2}}{{O}_{4}}\]
  done clear
  C)
  \[Ca\,{{(OH)}_{2}}+2N{{H}_{4}}Cl\xrightarrow{{}}CaC{{l}_{2}}+2N{{H}_{3}}+2{{H}_{2}}O\]
  done clear
  D)
  \[2K\,[Ag\,{{(CN)}_{2}}+Zn\xrightarrow{{}}2Ag+{{K}_{2}}[Zn\,{{(CN)}_{4}}]\]
  done clear
  View Answer play_arrow

• question_answer55)
  Which of the following complexes has the least wavelength of light in visible region?
  A)
  \[{{[Co{{(CN)}_{6}}]}^{3\,-}}\]          
  done clear
  B)
  \[{{[Co\,{{({{H}_{2}}O)}_{6}}]}^{3+}}\]
  done clear
  C)
  \[{{[Co\,{{(N{{H}_{3}})}_{6}}]}^{3\,-}}\]
  done clear
  D)
  \[{{[Co{{F}_{6}}]}^{3\,-}}\]
  done clear
  View Answer play_arrow

• question_answer56)
  \[C{{H}_{3}}C{{H}_{2}}OH\] can be converted into \[C{{H}_{3}}CHO\] by
  A)
  catalytic hydrogenation
  done clear
  B)
  treatment with \[LiAl{{H}_{4}}\]
  done clear
  C)
  treatment with pyridinium chlorochromate
  done clear
  D)
  treatment with \[KMn{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer57)
  Which of the following represents the correct order of decreasing number of \[S=O\]bonds?
  A)
  \[{{H}_{2}}S{{O}_{4}}>{{H}_{2}}S{{O}_{3}}>{{H}_{2}}{{S}_{2}}{{O}_{8}}\]
  done clear
  B)
  \[{{H}_{2}}{{S}_{2}}{{O}_{8}}>{{H}_{2}}S{{O}_{3}}>{{H}_{2}}S{{O}_{4}}\]
  done clear
  C)
  \[{{H}_{2}}{{S}_{2}}{{O}_{8}}>{{H}_{2}}S{{O}_{4}}>{{H}_{2}}S{{O}_{3}}\]
  done clear
  D)
  \[{{H}_{2}}S{{O}_{3}}>{{H}_{2}}{{S}_{2}}{{O}_{8}}>{{H}_{2}}S{{O}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer58)
  A unit cell with edge length \[a\ne b\ne c\] and axial angles \[\alpha =\beta =\gamma =90{}^\circ \] is called
  A)
  cubic
  done clear
  B)
  tetragonal
  done clear
  C)
  orthorhombic     
  done clear
  D)
  hexagonal
  done clear
  View Answer play_arrow

• question_answer59)

  For the reaction,

  \[CaO+2HCl\xrightarrow{{}}CaC{{l}_{2}}+{{H}_{2}}O\]

  \[1.23\,g\]of \[CaO\]is reacted with excess of hydrochloric acid and \[1.85\text{ }g\] of \[CaC{{l}_{2}}\] is formed. What is the per cent yield?

  A)
  76.1
  done clear
  B)
  86.3
  done clear
  C)
  95.1
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer60)
  The major product in the given reaction is
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer61)
  Which of the following statements is incorrect?
  A)
  Viroids lack a protein coat.
  done clear
  B)
  Viruses are obligate parasites.
  done clear
  C)
  Infective constituent in viruses is the protein coat.
  done clear
  D)
  Prions consist of abnormally folded proteins.
  done clear
  View Answer play_arrow

• question_answer62)
  Purines found both in DNA and RNA,
  A)
  Adenine and thymine
  done clear
  B)
  Adenine and guanine
  done clear
  C)
  Guanine and cytosine
  done clear
  D)
  Cytosine and thymine
  done clear
  View Answer play_arrow

• question_answer63)
  Which of the following glucose transporters is insulin-dependent?
  A)
  GLUT I
  done clear
  B)
  GLUT II
  done clear
  C)
  GLUT III
  done clear
  D)
  GLUT IV
  done clear
  View Answer play_arrow

• question_answer64)
  Identity the cells whose secretion protects the lining of gastro-intestinal tract from various enzymes.
  A)
  Chief Cells        
  done clear
  B)
  Goblet Cells
  done clear
  C)
  Oxyntic Cells     
  done clear
  D)
  Duodenal Cells
  done clear
  View Answer play_arrow

• question_answer65)
  Which one of the following equipments is essentially reuired for growing microbes on a large scale, for industrial production of .enzymes?
  A)
  BOD incubator
  done clear
  B)
  Sludge digester
  done clear
  C)
  Industrial oven
  done clear
  D)
  Bioreactor
  done clear
  View Answer play_arrow

• question_answer66)
  Which of the following is true for Golden rice?
  A)
  It is Vitamin A enriched, with a gene from daffodil
  done clear
  B)
  It is pest resistant, with a gene from Bacillus thuringiensis
  done clear
  C)
  It is drought tolerant, developed using Agrobacterium vector
  done clear
  D)
  It has yellow grains, because of a gene introduced from a primitive variety of rice
  done clear
  View Answer play_arrow

• question_answer67)
  Which one of the following is not a method of in situ Conservation of biodiversity?
  A)
  Biosphere Reserve
  done clear
  B)
  Wildlife Sanctuary
  done clear
  C)
  Botanical Garden
  done clear
  D)
  Sacred Grove
  done clear
  View Answer play_arrow

• question_answer68)

  Under which of the following conditions will there be change in the reading frame of following mRNA?

  \[5AACAGCGGUGCUAUU3'\]

  A)
  Insertion of G at 5th position
  done clear
  B)
  Deletion of G from 5th position
  done clear
  C)
  Insertion of A and G at 4th and 5th positions respectively
  done clear
  D)
  Deletion of GGU from 7th, 8th and 9th positions
  done clear
  View Answer play_arrow

• question_answer69)
  Which of these following methods is the most suitable for disposal of nuclear waste?
  A)
  Shoot the waste into space
  done clear
  B)
  Bury the waste under Antarctic ice-cover
  done clear
  C)
  Dump the waste within rocks under deep ocean
  done clear
  D)
  Bury the waste within rocks deep below the Earth's
  done clear
  View Answer play_arrow

• question_answer70)
  Match the following organisms with the products they

  a	Lactobacillus	i	Cheese
  b	Saccharomyces cerevisiae	ii	Curd
  c	Aspergillus niger	iii	Citric Acid
  d	Acetobacter aceti	iv	Acetic Acid

  Select the correct option.
  A)
  [a]-(ii), [b]-(iv), [c]-(v), [d]-(iii)
  done clear
  B)
  [a]-(ii), [b]-(iv),  [c]-(iii), [d]-(v)
  done clear
  C)
  [a]-(iii), [b]-(iv), [c]-(v), [d]-(i)
  done clear
  D)
  [a]-(ii), [b]-(i),  [c]-(iii), [d]-(v)
  done clear
  View Answer play_arrow

• question_answer71)
  What map unit (Centimorgan) is adopted in the construction of genetic maps?
  A)
  A unit of distance between two expressed genes representing 10% cross over.
  done clear
  B)
  A unit of distance between two expressed genes representing 100% cross over.
  done clear
  C)
  A unit of distance between genes on chromosomes, representing 1% cross over.
  done clear
  D)
  A unit of distance between genes on chromosomes, representing 50% cross over.
  done clear
  View Answer play_arrow

• question_answer72)
  Select the hormone-releasing Intra-Uterine Devices.
  A)
  Vaults, LNG-20
  done clear
  B)
  Multiload 375, Progestasert
  done clear
  C)
  Progestasert, LNG-20
  done clear
  D)
  Lippes Loop, Multiload 375
  done clear
  View Answer play_arrow

• question_answer73)
  Which of the following can be used as a biocontrol agent in the treatment of plant disease?
  A)
  Trichoderma
  done clear
  B)
  Chlorella
  done clear
  C)
  Anabaena
  done clear
  D)
  Lactobacillus
  done clear
  View Answer play_arrow

• question_answer74)
  Expressed Sequence Tags (ESTs) refers to:
  A)
  Genes expressed as RNA
  done clear
  B)
  Polypeptide expression
  done clear
  C)
  DNA polymorphism
  done clear
  D)
  Novel DNA sequences
  done clear
  View Answer play_arrow

• question_answer75)
  Colostrum the yellowish fluid, secreted by mother during the initial days of lactation is very essential to impart immunity to the new born infants because it contains:
  A)
  Natural killer cells
  done clear
  B)
  Monocytes
  done clear
  C)
  Macrophages
  done clear
  D)
  Immunoglobulin A
  done clear
  View Answer play_arrow

• question_answer76)
  Select the incorrect statement.
  A)
  Inbreeding increases homozygosity.
  done clear
  B)
  Inbreeding is essential to evolve purelines in any animal.
  done clear
  C)
  Inbreeding selects harmful recessive genes that reduce fertility and productivity.
  done clear
  D)
  Inbreeding helps in accumulation of superior genes and elimination of undesirable genes.
  done clear
  View Answer play_arrow

• question_answer77)
  Select the correct sequence for transport of sperm cells in male reproductive system.
  A)
  Testis \[\to \] Epididymis \[\to \] Vasa efferentia \[\to \]Rete testis \[\to \]Inguinal canal \[\to \]Urethra
  done clear
  B)
  Seminiferous tubules \[\to \]Rete testis \[\to \]Vasa efferentia \[\to \]Epididymis \[\to \]Vas deferens \[\to \] Ejaculatory duct \[\to \]Urethra \[\to \]Urethral meatus
  done clear
  C)
  Seminiferous tubules \[\to \] Vasa efferentia \[\to \] Epididymis \[\to \] Inguinal canal \[\to \] Urethra
  done clear
  D)
  Testis \[\to \] Epididymis \[\to \] Vasa efferentia \[\to \] Vas deferens \[\to \] Ejaculatory duct \[\to \] Inguinal canal \[\to \] Urethra \[\to \] Urethral meatus
  done clear
  View Answer play_arrow

• question_answer78)
  A gene locus has two alleles A, a. If the frequency of dominant allele A is 0.4, then what will be the frequency of homozygous dominant, heterozygous and homozygous recessive individuals in the population?
  A)
  0.36(AA); 0.48 (Aa); 0.16 (aa)
  done clear
  B)
  0.16(AA); 0.24 (Aa); 0.36 (aa)
  done clear
  C)
  0.16(AA); 0.48 (Aa); 0.36 (aa)
  done clear
  D)
  0.16(AA); 0.36 (Aa); 0.48 (aa)
  done clear
  View Answer play_arrow

• question_answer79)
  Match the following organisms with their respective characteristics:

  a	Pila	i	Flame cells
  b	Bombyx	ii	Comb plates
  c	Pleurobrachia	ii	Radula
  d	Taenia	iv	Malpighian tubules

  Select the Correct option from the following:
  A)
  [a]-(iii), [b]-(ii), [c]-(i), [d]-(iv)
  done clear
  B)
  [a]-(iii), [b]-(iv), [c]-(ii), [d]-(i)
  done clear
  C)
  [a]-(ii),  [b]-(iv), [c]-(iii), [d]-(i)
  done clear
  D)
  [a]-(iii), [b]-(ii), [c]-(iv), [d]-(i)
  done clear
  View Answer play_arrow

• question_answer80)
  The shorter and longer arms of a submetacentric chromosome are referred to as:
  A)
  s-arm and 1-arm respectively 
  done clear
  B)
  p-arm and q-arm respectively   
  done clear
  C)
  q-arm and p-arm respectively
  done clear
  D)
  m-arm and n-arm respectively
  done clear
  View Answer play_arrow

• question_answer81)
  If \[x={}^{n}{{C}_{n\,-1}}+{}^{n+1}{{C}_{n\,-1}}+.....+{}^{2n\,-1}{{C}_{n\,-1}}\] then \[\frac{x+1}{n+1}\] is
  A)
  an integer iff n is odd integer
  done clear
  B)
  an integer iff n is an even integer
  done clear
  C)
  never integer
  done clear
  D)
  always integer
  done clear
  View Answer play_arrow

• question_answer82)
  If \[({{x}_{1}},\,\,{{y}_{1}})\] & \[({{x}_{2}},\,\,{{y}_{2}})\] are the ends of a diameter of a circle such that \[{{x}_{1}}\] & \[{{x}_{2}}\] are the roots of the equation \[a{{x}^{2}}+bx+c=0\] and \[\,{{y}_{1}}\] & \[{{y}_{2}}\] are the roots of the equation \[p{{y}^{2}}+qy+c=0.\] Then the co-ordinates of the centre of the circle is:
  A)
  \[\left( \frac{b}{2a},\,\,\frac{q}{2p} \right)\]
  done clear
  B)
  \[\left( -\frac{b}{2a},\,\,-\frac{q}{2p} \right)\]
  done clear
  C)
  \[\left( \frac{b}{a},\,\,\frac{q}{p} \right)\]
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer83)
  If \[\alpha ,\]\[\beta \] be the roots of the equation \[{{u}^{2}}-2u+2=0\] & if \[\cot \theta =x+1,\] then \[\frac{{{(x+\alpha )}^{n}}-{{(x+\beta )}^{n}}}{\alpha -\beta }\] is equal to:
  A)
  \[\frac{\sin \,\,n\,\,\theta }{{{\sin }^{n}}\theta }\]
  done clear
  B)
  \[\frac{\cos \,\,n\,\,\theta }{{{\cos }^{n}}\theta }\]
  done clear
  C)
  \[\frac{\sin \,\,n\,\,\theta }{{{\cos }^{n}}\theta }\]
  done clear
  D)
  \[\frac{\cos \,\,n\,\,\theta }{{{\sin }^{n}}\theta }\]
  done clear
  View Answer play_arrow

• question_answer84)
  If \[y={{\sin }^{-1}}\,(x\sqrt{1-x}+\sqrt{x}\sqrt{1-{{x}^{2}}})\] & \[\frac{dy}{dx}=\frac{1}{2\sqrt{x\,(1-x)}}+p,\] then \[p=\]
  A)
  0
  done clear
  B)
  \[{{\sin }^{-1}}x\]
  done clear
  C)
  \[{{\sin }^{-1}}\sqrt{x}\]
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer85)
  A chord of the parabola \[y=-\,{{a}^{2}}{{x}^{2}}+5ax-4\] touches the curve \[y=\frac{1}{1-x}\] at the point \[x=2\] and is bisected by that point. If S is the sum of all possible values of a, then find 12S.
  A)
  12
  done clear
  B)
  15
  done clear
  C)
  17
  done clear
  D)
  19
  done clear
  View Answer play_arrow

• question_answer86)
  The total number of combinations 6 at a time which can be formed from 6 alike white, 6 alike blue, 6 alike green & 6 alike red balls is:
  A)
  90
  done clear
  B)
  84
  done clear
  C)
  78
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer87)
  If \[{{c}^{2}}={{a}^{2}}+{{b}^{2}},\] \[2s=a+b+c,\] then \[4s\,(s-a)\,\,(s-b)\,\,(s-c)=\]
  A)
  \[{{s}^{4}}\]
  done clear
  B)
  \[{{b}^{2}}{{c}^{2}}\]
  done clear
  C)
  \[{{c}^{2}}{{a}^{2}}\]         
  done clear
  D)
  \[{{a}^{2}}{{b}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer88)
  Solution of the differential equation \[\frac{dy}{dx}\,-\,y\,=\,\cos \,\,x\,-\,\sin \,x\] satisfying the condition that y should be bounded when \[x\,\to \,+\,\infty \]is
  A)
  \[y\,=\,\sin \,x\]
  done clear
  B)
  \[y\,=\,\,\cos \,x\]
  done clear
  C)
  \[y\,=\,\,\sin \,x\,+\,\cos \,x\]
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer89)
  The line \[2px\,+\,y\,\sqrt{1-{{p}^{2}}}\,=\,1\], \[(\,\left| p \right|\,<\,1\,)\] for different values of p, touches
  A)
  an ellipse of eccentricity \[\sqrt{3}\,/\,2\]          
  done clear
  B)
  an ellipse of eccentricity \[1\,/\sqrt{3}\,\]
  done clear
  C)
  a hyperbola of eccentricity 2             
  done clear
  D)
  an ellipse or a hyperbola depending on p
  done clear
  View Answer play_arrow

• question_answer90)
  If \[{{A}^{3}}\,=\,O\], \[I\,+\,A\,+\,{{A}^{2}}\]quals
  A)
  \[I\,-\,A\]
  done clear
  B)
  \[{{(\,I\,-\,A\,)}^{-1}}\]      
  done clear
  C)
  \[{{(\,I\,+\,A\,)}^{-1}}\]
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer91)
  A cylinder rolls up an inclined plane, reaches some height, and then rolls down (without slipping throughout these motions). The directions of the factional force acting on the cylinder are
  A)
  up the incline while ascending and down the incline descending.
  done clear
  B)
  Up the incline while ascending as well as descending.
  done clear
  C)
  Down the incline while ascending and up the incline while descending.
  done clear
  D)
  Down the incline while ascending as well as descending.
  done clear
  View Answer play_arrow

• question_answer92)
  The escape velocity of a body on the Earth's surface is \[{{v}_{e}}\]. A body is thrown up with a speed \[\sqrt{5{{v}_{e}}}.\] Assuming that the Sun and planets do not influence the motion of the body, the velocity of the body at infinite distance is \[{{v}_{\infty }}\]. Then, the value of \[\frac{{{v}_{\infty }}}{{{v}_{e}}}\] is
  A)
  Zero
  done clear
  B)
  1
  done clear
  C)
  2
  done clear
  D)
  3
  done clear
  View Answer play_arrow

• question_answer93)
  A 10k W drilling machine is used to drill a bore in an aluminium block of mass 8.0 kg. Block is worked on by machine for 2.5 min to drill a hole and 50% of power is used up in heating the aluminium block. Specific heat of aluminium is \[0.91J{{g}^{-1}}{{K}^{-1}}\]. Rise in temperature of block due to drilling will be
  A)
  \[100{}^\circ C\]
  done clear
  B)
  \[103{}^\circ K\]
  done clear
  C)
  \[103{}^\circ C\]
  done clear
  D)
  \[50{}^\circ C\]
  done clear
  View Answer play_arrow

• question_answer94)

  A charged sphere of mass m and charge - q starts sliding along the surface of a smooth hemispherical bowl, at position\[P\]. The region has a transverse uniform magnetic field \[B\]. Normal force by the surface of bowl on the sphere at position \[Q\]is

  A)
  \[mg\sin \theta +qB\sqrt{2gR\sin \theta }\]
  done clear
  B)
  \[3\,mg\sin \theta +qB\sqrt{2gR\sin \theta }\]
  done clear
  C)
  \[\,mg\sin \theta -qB\sqrt{2gR\sin \theta }\]
  done clear
  D)
  \[3\,mg\sin \theta -qB\sqrt{2gR\sin \theta }\]
  done clear
  View Answer play_arrow

• question_answer95)
  A strip of wood of length l is placed on a smooth horizontal surface. An insect starts from one end of the strip, walks with constant velocity and reaches the other end in time \[{{t}_{1}}\]. It then flies off vertically. The strip moves a further distance l in time \[{{t}_{2}}.\]
  A)
  \[{{t}_{1}}={{t}_{2}}\]
  done clear
  B)
  \[{{t}_{1}}>{{t}_{2}}\]
  done clear
  C)
  \[{{t}_{1}}<{{t}_{2}}\]
  done clear
  D)
  none
  done clear
  View Answer play_arrow

• question_answer96)
  A wind powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of wind energy intercepted by its blades into electrical energy. For wind speed v, the electrical power output will be proportional to
  A)
  \[v\]
  done clear
  B)
  \[{{v}^{2}}\]
  done clear
  C)
  \[{{v}^{3}}\]
  done clear
  D)
  \[{{v}^{4}}\]
  done clear
  View Answer play_arrow

• question_answer97)

  An object with uniform density p is attached to a spring that is known to stretch linearly with applied force as shown below.

  When the spring object system is immersed in a liquid of density\[{{\rho }_{1}}\], as shown in the above figure, the spring stretches by an amount\[{{x}_{1}}\]\[\left( \rho >{{\rho }_{1}} \right)\]. When the experiment is repeated in a liquid of density\[\left( {{\rho }_{2}}<{{\rho }_{1}} \right)\], the spring stretches by an amount\[{{x}_{2}}.\]. Neglecting any buoyant force on the spring, the density of the object is

  A)
  \[\rho =\frac{{{\rho }_{1}}{{x}_{1}}-{{\rho }_{2}}{{x}_{2}}}{{{x}_{1}}-{{x}_{2}}}\]
  done clear
  B)
  \[\rho =\frac{{{\rho }_{1}}{{x}_{2}}-{{\rho }_{2}}{{x}_{1}}}{{{x}_{2}}-{{x}_{1}}}\]
  done clear
  C)
  \[\rho =\frac{{{\rho }_{1}}{{x}_{2}}+{{\rho }_{2}}{{x}_{1}}}{{{x}_{1}}+{{x}_{2}}}\]
  done clear
  D)
  \[\rho =\frac{{{\rho }_{1}}{{x}_{1}}+{{\rho }_{2}}{{x}_{2}}}{{{x}_{1}}+{{x}_{2}}}\]
  done clear
  View Answer play_arrow

• question_answer98)
  A tiny spherical oil drop carrying a net charge \[q\] is balanced in still air with a vertical uniform electric field of strength\[\,\frac{81\pi }{7}\times {{10}^{5}}V{{m}^{-1}}\]. When the field is switched off, the drop is observed to fall with terminal velocity \[2\times {{10}^{-3}}m{{s}^{-1}}\] Given \[g=9.8\text{ }{{\operatorname{ms}}^{-2}}\], viscosity of the air \[=1.8\times \text{ }\]\[{{10}^{-5}}Ns\,{{m}^{-2}}\] and the density of oil \[=900\text{ }kg\,{{\operatorname{m}}^{-3}}\] the magnitude of \[q\] is
  A)
  \[1.6\times {{10}^{-19}}C\]
  done clear
  B)
  \[2.2\times {{10}^{-19}}C\]
  done clear
  C)
  \[4.8\times {{10}^{-19}}C\]
  done clear
  D)
  \[8.0\times {{10}^{-19}}C\]
  done clear
  View Answer play_arrow

• question_answer99)
  The flow of blood in a large artery of an anesthetised dog is diverted through a venturimeter. The wider part of the meter has a Cross-sectional area equal to that of the artery. \[A =8 m{{m}^{2}}\]. The narrower part has an area \[a=4m{{m}^{2}}\] and density of blood. i.e., \[\rho =~1.06\times {{10}^{3}} kg\,{{m}^{-3}}\]. The pressure drop in the artery is 24 Pa. What is the speed of the blood in the artery?
  A)
  0.5 m/s
  done clear
  B)
  0.125m/s        
  done clear
  C)
  1.25 m/s
  done clear
  D)
  2.5 m/s
  done clear
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• question_answer100)

  A projectile is fixed at an angle and was following a parabolic path. Suddenly it explodes into fragments. Choose the correct option regarding this situation.

  A)
  The concept of the CM is applicable to rigid bodies as well as system of particles
  done clear
  B)
  The path of the CM of the system of particles will remain parabolic after the explosion
  done clear
  C)
  Both [a] and [b] are correct
  done clear
  D)
   Both [a] and [b] are incorrect
  done clear
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• question_answer101)

  Find the organic acid produced from the above reaction.

  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  None of the above
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• question_answer102)
  In a decay series, \[_{82}^{206}Pb\] is obtained at the end from \[_{92}^{238}U.\] How many alpha and beta particles must have been emitted?
  A)
  \[7\alpha ,10\beta \]
  done clear
  B)
  \[8\alpha ,6\beta \]
  done clear
  C)
  \[5\alpha ,6\beta \]
  done clear
  D)
  \[6\alpha ,8\beta \]
  done clear
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• question_answer103)
  In the given reaction identify X and Y.
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
   
  done clear
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• question_answer104)

  The variation of concentration of the product P with time in the reaction, \[A\to P\] is shown in following graph.

  The graph between \[\frac{-\,d[A]}{dt}\]and time will be of the at type

  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
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• question_answer105)
  \[75.2g\] of \[{{C}_{6}}{{H}_{5}}OH\] (phenol) is dissolved in a solvent of \[{{K}_{f}}=14\] .If the depression in freezing point is 7 K, then find the percentage of phenol that dimerises.
  A)
  62%
  done clear
  B)
  98%
  done clear
  C)
  55%
  done clear
  D)
  75%
  done clear
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• question_answer106)
  The standard enthalpies of formation of \[C{{O}_{2}}(g)\] \[{{H}_{2}}O(l)\] and glucose(s) at \[25{}^\circ C\] are \[-\,400kJ/mol,\]\[-\,300kJ/mol\] and \[-\,1300kJ/mol,\] respectively. The standard enthalpy of combustion per gram of glucose at \[25{}^\circ C\]is
  A)
  \[+\,2900\,kJ\]
  done clear
  B)
  \[-\,2900\,kJ\]
  done clear
  C)
  \[-16.11\,kJ\]
  done clear
  D)
  \[+16.11\,kJ\]
  done clear
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• question_answer107)
  Chromium metal crystallises with a body centred cubic lattice. The length of the unit edge is found to be 287 pm. Calculate the atomic radius. What would be the density of chromium in \[g/c{{m}^{3}}\]?
  A)
  7.3
  done clear
  B)
  8.1
  done clear
  C)
  5.1
  done clear
  D)
  11.3
  done clear
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• question_answer108)
  The hybridisation and magnetic moment of complex \[[Cr{{({{H}_{2}}O)}_{6}}]\,C{{l}_{2}}\] is
  A)
  \[s{{p}^{3}}{{d}^{2}},4.89\,BM\]
  done clear
  B)
  \[{{d}^{2}}s{{p}^{3}},4.89\,BM\]
  done clear
  C)
  \[ds{{p}^{2}},5.89\,BM\]
  done clear
  D)
  \[s{{p}^{3}}{{d}^{2}},3.39\,BM\]
  done clear
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• question_answer109)
  Calculate the standard free energy change for the formation of methane at 298 K. The value of \[{{\Delta }_{r}}H{}^\circ \] for \[C{{H}_{4}}(g)\] is \[-\,74.81\,kJ\,mo{{l}^{-\,1}}\]and S values for C (graphite) \[{{H}_{2}}(g)\] and \[C{{H}_{4}}(g)\] are \[5.70,\]\[130.7\] and \[186.3J{{K}^{-\,1}}mo{{l}^{-\,1}}\] respectively.
  A)
  \[-\,80.8\]
  done clear
  B)
  \[-\,98.91\]
  done clear
  C)
  \[-\,50.74\]
  done clear
  D)
  \[-\,40.4\]
  done clear
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• question_answer110)
  Compound(s) that on hydrogenation produce(s) Optically inactive compound(s) is/are
  A)
  
  done clear
  B)
  
  done clear
  C)
   
  done clear
  D)
       
  done clear
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• question_answer111)
  What is the site of perception of photoperiod necessary for induction of flowering in plants?
  A)
  Lateral buds
  done clear
  B)
  Pulvinus
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  C)
  Shoot apex
  done clear
  D)
  Leaves
  done clear
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• question_answer112)
  Which part of the brain is responsible for regulation?
  A)
  Cerebrum
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  B)
  Hypothalamus
  done clear
  C)
  Corpus callosum
  done clear
  D)
  Medulla oblongata
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• question_answer113)
  Which of the following pair of organelles does not Contain DNA?
  A)
  Mitochondria and Lysosomes'
  done clear
  B)
  Chloroplast and Vacuoles
  done clear
  C)
  Lysosomes and Vacuoles
  done clear
  D)
  Nuclear envelope and Mitochondria
  done clear
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• question_answer114)
  What is the genetic disorder in which an individual overall masculine development gynaecomastia, and is sterile?
  A)
  Turner's syndrome
  done clear
  B)
  Klinefelter's syndrome
  done clear
  C)
  Edward syndrome
  done clear
  D)
  Down's syndrome
  done clear
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• question_answer115)
  Xylem translocates.
  A)
  Water only
  done clear
  B)
  Water and mineral salts only
  done clear
  C)
  Water, mineral salts and some organic nitrogen
  done clear
  D)
  Water, mineral salts, some organic nitrogen and hormones
  done clear
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• question_answer116)
  Which of the following pairs of gases is mainly responsible for greenhouse effect?
  A)
  Ozone and Ammonia
  done clear
  B)
  Oxygen and Nitrogen
  done clear
  C)
  Nitrogen and Sulphur dioxide
  done clear
  D)
  Carbon dioxide and Methane
  done clear
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• question_answer117)
  Which of the following protocols did aim for reducing emission of chlorofluorocarbons into the atmosphere?
  A)
  Montreal Protocol
  done clear
  B)
  Kyoto Protocol
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  C)
  Gothenburg Protocol
  done clear
  D)
  Geneva Protocol
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• question_answer118)
  In some plants, the female gamete develops into embryo without fertilization. This phenomenon is known as:
  A)
  Autogamy
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  B)
  Parthenocarpy
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  C)
  Syngamy
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  D)
  Parthenogenesis
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• question_answer119)
  Which of the following sexually transmitted diseases is not completely curable?
  A)
  Gonorrhoea
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  B)
  Genital warts
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  C)
  Genital herpes
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  D)
  Chlamydiasis
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• question_answer120)
  Which of the following immune responses is responsible for rejection of kidney graft?
  A)
  Auto-immune response
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  B)
  Humoral immune response
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  C)
  Inflammatory immune response
  done clear
  D)
  Cell-mediated immune response
  done clear
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