KVPY Sample Paper

done KVPY Stream-SX Model Paper-14 Total Questions - 120    [Download]

• question_answer1)
  The image of the line \[\frac{x-1}{3}=\frac{y-3}{1}=\frac{z-4}{-\,5}\] in the plane
  A)
   \[\frac{x+3}{3}=\frac{y-5}{1}=\frac{z-2}{-\,5}\]
  done clear
  B)
   \[\frac{x+3}{-\,3}=\frac{y-5}{-\,1}=\frac{z+2}{5}\]
  done clear
  C)
   \[\frac{x-3}{3}=\frac{y+5}{1}=\frac{z-2}{-\,5}\]
  done clear
  D)
   \[\frac{x-3}{-\,3}=\frac{y+5}{-\,1}=\frac{z-2}{5}\]
  done clear
  View Answer play_arrow

• question_answer2)
  If coefficients of \[{{x}^{3}}\] and \[{{x}^{4}}\] in the expansion of   in \[(1+ax+b{{x}^{2}})\,{{(1-2x)}^{18}}\] powers of x are both zero, (a. b) is equal to:
  A)
  \[\left( 16,\frac{251}{3} \right)\]
  done clear
  B)
  \[\left( 14,\frac{251}{3} \right)\]
  done clear
  C)
  \[\left( 14,\frac{272}{3} \right)\]  
  done clear
  D)
  \[\left( 16,\frac{272}{3} \right)\]
  done clear
  View Answer play_arrow

• question_answer3)
  If \[a\in R\] and the equation \[-\,3\,{{(x-[x])}^{2}}+2\,(x-[x])\]\[+{{a}^{2}}=0\] (where [x]denotes the greatest integer > x) has no integral solution, then all possible values of a lie iin the interval:
  A)
  \[(-1,0)\cup \,(0,1)\]
  done clear
  B)
  (1, 2)
  done clear
  C)
  \[(-2,-\,1)\]
  done clear
  D)
  \[(-\infty ,-\,2)\cup \,(2,\infty )\]
  done clear
  View Answer play_arrow

• question_answer4)
  If \[\left[ \begin{matrix}    \overrightarrow{a}\times \overrightarrow{b} & \overrightarrow{b}\times \overrightarrow{c} & \overrightarrow{c}\times \overrightarrow{a}  \\ \end{matrix} \right]=\lambda {{\left[ \vec{a}\,\,\vec{b}\,\,\vec{c} \right]}^{2}},\]then \[\lambda \] is equal to;
  A)
  2         
  done clear
  B)
  3
  done clear
  C)
  0         
  done clear
  D)
  1
  done clear
  View Answer play_arrow

• question_answer5)
  The variance of first 50 even natural numbers is:
  A)
  \[\frac{833}{4}\]
  done clear
  B)
  833
  done clear
  C)
  437
  done clear
  D)
  \[\frac{437}{4}\]
  done clear
  View Answer play_arrow

• question_answer6)
  A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point 0 on the ground is \[45{}^\circ \]. It flies off horizontally straight away from the point 0. After one second, the elevation of the bird from 0 is reduced to \[30{}^\circ \]. Then the speed (in m/s) of the bird is
  A)
  \[40\left( \sqrt{2}-1 \right)\]
  done clear
  B)
  \[40\left( \sqrt{3}-\sqrt{2} \right)\]
  done clear
  C)
  \[20\sqrt{2}\]
  done clear
  D)
  \[20\left( \sqrt{3}-1 \right)\]
  done clear
  View Answer play_arrow

• question_answer7)
  The integral \[\int\limits_{0}^{\pi }{\sqrt{1+4{{\sin }^{2}}\frac{x}{2}-4\sin \frac{x}{2}-4\sin \frac{x}{2}dx}}\]equals:
  A)
  \[\pi -4\]
  done clear
  B)
                                 \[\frac{2\pi }{3}-4-4\sqrt{3}\]
  done clear
  C)
  \[4\sqrt{3}-4\]   
  done clear
  D)
         \[4\sqrt{3}-4-\frac{\pi }{3}\]
  done clear
  View Answer play_arrow

• question_answer8)
  The statement \[\tilde{\ }(P\leftrightarrow \tilde{\ }q)\] Is:
  A)
  equivalent to \[P\leftrightarrow q\]
  done clear
  B)
  equivalent to \[\tilde{\ }P\leftrightarrow q\]
  done clear
  C)
  a tautology
  done clear
  D)
  a fallacy
  done clear
  View Answer play_arrow

• question_answer9)
  If A is an \[3\times 3\] non-singular matrix such that \[AA'=A'A\]and \[B={{A}^{-\,\,1}}A',\] then BB' equals:
  A)
  I + B
  done clear
  B)
  I
  done clear
  C)
  \[B{{\,}^{-\,\,1}}\]
  done clear
  D)
  \[({{B}^{\,-\,\,1}})'\]
  done clear
  View Answer play_arrow

• question_answer10)
  The integral \[\int{\left( 1+x-\frac{1}{x} \right){{e}^{x+\frac{1}{x}}}dx}\] is equal to:
  A)
  \[(x-1){{e}^{x+\frac{1}{x}}}+c\]
  done clear
  B)
  \[x{{e}^{x+\frac{1}{x}}}+c\]
  done clear
  C)
  \[(x+1){{e}^{x+\frac{1}{x}}}+c\]
  done clear
  D)
  \[-x{{e}^{x+\frac{1}{x}}}+c\]
  done clear
  View Answer play_arrow

• question_answer11)
  If z is a complex number such that \[\left| z \right|\le 2,\] then the minimum value of \[\left| z+\frac{1}{2} \right|:\]
  A)
   is equal to \[\frac{5}{2}\]
  done clear
  B)
  lies in the interval (1, 2)
  done clear
  C)
  is strictly greater than \[\frac{5}{2}\]
  done clear
  D)
  is strictly greater than \[\frac{3}{2}\]but less than \[\frac{5}{2}\]
  done clear
  View Answer play_arrow

• question_answer12)
  If g is the inverse of a function f and \[f'(x)=\frac{1}{1+{{x}^{5}}},\] then \[g'(x)\]is equal to:
  A)
  \[1x+{{x}^{5}}\]
  done clear
  B)
  \[5{{x}^{4}}\]
  done clear
  C)
  \[\frac{1}{1+{{\left\{ g(x) \right\}}^{5}}}\]       
  done clear
  D)
  \[1+{{\left\{ g(x) \right\}}^{5}}\]
  done clear
  View Answer play_arrow

• question_answer13)
  If \[\alpha ,\beta \ne 0,\] and \[f(n){{\alpha }^{n}}+{{\beta }_{n}}\] and \[\left| \begin{matrix}    3 & 1+f(1) & 1+f(2)  \\    1+f(1) & 1+f(2) & 1+f(3)  \\    1+f(2) & 1+f(3) & 1+f(4)  \\ \end{matrix} \right|\] \[=K\,{{(1-\alpha )}^{2}}\,{{(1-\beta )}^{2}}\,{{(\alpha -\beta )}^{2}},\]
  A)
  \[a\beta \]
  done clear
  B)
  \[\frac{1}{a\beta }\]
  done clear
  C)
  1
  done clear
  D)
  \[-\,1\]
  done clear
  View Answer play_arrow

• question_answer14)
  Let \[{{f}_{K}}(x)=\frac{1}{k}\left( {{\sin }^{k}}x+{{\cos }^{k}}x \right)\] where \[x\ne R\] and \[k\ge 1.\]Then \[{{f}_{4}}(x)-{{f}_{6}}(x)\] equals:
  A)
  \[\frac{1}{6}\]
  done clear
  B)
  \[\frac{1}{3}\]
  done clear
  C)
  \[\frac{1}{4}\]
  done clear
  D)
  \[\frac{1}{12}\]
  done clear
  View Answer play_arrow

• question_answer15)
  Let \[\alpha \] and \[\beta \] be the roots of equation \[p{{x}^{2}}+qx+r=0,\] \[P\ne 0.\] If P, q, r are in A.P. and \[\frac{1}{a}+\frac{1}{\beta }=4,\] then the value of \[\left| \alpha -\beta  \right|\]is:
  A)
  \[\frac{\sqrt{61}}{9}\]
  done clear
  B)
  \[\frac{2\sqrt{17}}{9}\]
  done clear
  C)
  \[\frac{\sqrt{34}}{9}\]
  done clear
  D)
  \[\frac{2\sqrt{13}}{9}\]
  done clear
  View Answer play_arrow

• question_answer16)
  Let A and B be two events such that \[P\,\overline{(A\cup B)}=\frac{1}{6},\] \[P(A\cap B)=\frac{1}{4}\]and \[P(\overline{A})=\frac{1}{4}\]where \[\overline{A}\] stands for the complement of the event A Then me events A and B are:
  A)
  mutually exclusive and independent
  done clear
  B)
  equally likely but not independent
  done clear
  C)
  independent but not equally likely
  done clear
  D)
  independent and equally likely
  done clear
  View Answer play_arrow

• question_answer17)
  If f and g are differentiable functions in [0, 1] satisfying. \[f(0)=2=g(0)\] and\[f(1)=6,\]then for some \[c\in ]\,0,1\,[:\]
  A)
  \[2f'(c)=g'(c)\]
  done clear
  B)
  \[2f'(c)=3g'(c)\]
  done clear
  C)
  \[f'(c)=g'(c)\]
  done clear
  D)
  \[f'(c)=2g'(c)\]
  done clear
  View Answer play_arrow

• question_answer18)
  Let the population of rabbits surviving at a time \[t\] be governed by the differential equation \[\frac{dp(t)}{dt}=\frac{1}{2}P(t)-200.\]If \[p(0)=100,\] then \[p(t)\]equals:
  A)
  \[400-{{300}^{\text{et/2}}}\]
  done clear
  B)
  \[300-{{200}^{\text{et/2}}}\]
  done clear
  C)
  \[600-{{500}^{\text{et/2}}}\]   
  done clear
  D)
  \[400-{{300}^{e\,-\,\text{t/2}\,}}\]
  done clear
  View Answer play_arrow

• question_answer19)
  .Let C be the circle with centre at (1, 1) and radius \[=1.\] If T is the circle centred at (0, y), passing throud origin and touching the circle C externally, then the radius of T is equal to:
  A)
  \[\frac{\sqrt{3}}{\sqrt{2}}\]
  done clear
  B)
  \[\frac{\sqrt{3}}{2}\]
  done clear
  C)
  \[\frac{1}{2}\]
  done clear
  D)
  \[\frac{1}{4}\]
  done clear
  View Answer play_arrow

• question_answer20)
  The area of the region described by \[A=\left\{ (x,y):{{x}^{2}}+{{y}^{2}}\le 1\,and\,{{y}^{2}}\le 1-x \right\}\]is:
  A)
  \[\frac{\pi }{2}+\frac{4}{3}\]
  done clear
  B)
  \[\frac{\pi }{2}-\frac{4}{3}\]
  done clear
  C)
  \[\frac{\pi }{2}-\frac{2}{3}\]
  done clear
  D)
  \[\frac{\pi }{2}+\frac{2}{3}\]
  done clear
  View Answer play_arrow

• question_answer21)
  .A number of particles start simultaneously from same point in all possible directions with same speed in a vertical plane. Now, choose the correct option.
  A)
  After time (they all lie on a parabola
  done clear
  B)
  After time (they all lie on a circle
  done clear
  C)
  After time t parabola described by particles has focal distance ut
  done clear
  D)
  After time t circle described by particles has radius 2ut
  done clear
  View Answer play_arrow

• question_answer22)
  Two particles each of mass m are attached to ends of a light string of length a and placed on a horizontal turntable at distances a and \[2a\] from centre of rotation Let turntable rotates with a maximum angular speed \[\omega ,\] such that particle remains over it without any slip. Necessary friction coefficient must be
  A)
  \[\frac{a{{\omega }^{2}}}{2g}\]
  done clear
  B)
  \[\frac{2a{{\omega }^{2}}}{g}\]
  done clear
  C)
  \[\frac{3a{{\omega }^{2}}}{2g}\]
  done clear
  D)
  \[\frac{a{{\omega }^{2}}}{3g}\]
  done clear
  View Answer play_arrow

• question_answer23)
  A chord of length 90 m is used to tie a 200 kg astronaut (with his space suit and instruments) with his spaceship. Tension in the chord is nearly
  A)
  0.0084 N
  done clear
  B)
  0.084 N
  done clear
  C)
  0.84 N
  done clear
  D)
  8.40 N
  done clear
  View Answer play_arrow

• question_answer24)
  A non-uniform rod of length I has a linear mass density \[\lambda ={{\lambda }_{0}}+kx,\] is placed over X-axis with its one end at origin. The x-coordinate of centre of mass of rod is
  A)
  \[\frac{{{\lambda }_{0}}l+2k{{l}^{2}}}{3(2{{\lambda }_{0}}+kl)}\]
  done clear
  B)
  \[\frac{3{{\lambda }_{0}}l+2k{{l}^{2}}}{(2{{\lambda }_{0}}+kl)}\]
  done clear
  C)
  \[\frac{4{{\lambda }_{0}}l+k{{l}^{2}}}{3\,(2{{\lambda }_{0}}+kl)}\] 
  done clear
  D)
  \[\frac{3{{\lambda }_{0}}l+2k{{l}^{2}}}{3\,(2{{\lambda }_{0}}+kl)}\]
  done clear
  View Answer play_arrow

• question_answer25)
  Two masses \[{{m}_{1}}\]and \[{{m}_{2}}({{m}_{1}}>{{m}_{2}})\]are connected by a light spring. This system is placed on a horizontal frictionless table. At \[t=0,\]blocks are pushed closer by compressing the spring and then released. The system oscillates with a time period T. Time period of oscillation of centre of mass of system is  
  A)
  \[\frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}\cdot T\]
  done clear
  B)
  \[\frac{{{m}_{1}}}{{{m}_{1}}+{{m}_{2}}}\cdot T\]
  done clear
  C)
  \[\frac{{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}\cdot T\]   
  done clear
  D)
  zero
  done clear
  View Answer play_arrow

• question_answer26)
  A particle moves around a circular path of radius with a constant speed u. If particle describes angle \[\theta \]in 4 s, then average acceleration of the particle is
  A)
  \[\frac{{{v}^{2}}}{r}\cdot \sin \left( \frac{2v}{R} \right)\]
  done clear
  B)
  \[\frac{2{{v}^{2}}}{R}\cdot \sin \left( \frac{\theta }{2} \right)\]
  done clear
  C)
  \[\frac{2{{v}^{2}}}{R\theta }\cdot \cos \left( \frac{\theta }{2} \right)\]     
  done clear
  D)
  \[\frac{{{v}^{2}}}{2}\cdot \sin \left( \frac{2v}{R} \right)\]
  done clear
  View Answer play_arrow

• question_answer27)

  A block of mass \[{{m}_{1}}\]is placed over a plank of mass \[{{m}_{2}}.\]Block and plank are given initial velocities \[{{v}_{1}}\]and \[{{v}_{2}}\]relative to ground \[({{v}_{1}}>{{v}_{2}}).\]

  There is friction between block and plank, but there is no friction between plank and ground.

  Correct variation of velocity of block \[{{v}_{b}}\]and velocity of plank \[{{v}_{p}}\] is

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

• question_answer28)
  If you are pulling one end of an ideal spring of mass m with velocity v, while keeping other end fixed to a wall, then kinetic energy of the spring at this instant is
  A)
  \[\frac{1}{2}m{{v}^{2}}\]
  done clear
  B)
  \[\frac{1}{4}m{{v}^{2}}\]
  done clear
  C)
  \[\frac{1}{6}m{{v}^{2}}\]
  done clear
  D)
  \[\frac{1}{8}m{{v}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer29)

  Consider given pulley and mass system consisting of ideal pulley, ideal springs and ideal identical strings.

  Let accelerations of \[{{m}_{1}},\]\[{{m}_{2}},\]\[{{m}_{3}}\]and \[{{m}_{4}}\]are \[{{a}_{1}},{{a}_{2}},{{a}_{3}}\] and \[{{a}_{4}},\]respectively immediately after cutting thread A which keeps the system stable. Now, choose the correct option.

  A)
  \[{{a}_{4}}=0\]                       
  done clear
  B)
  \[{{a}_{4}}=\left( \frac{{{m}_{3}}+{{m}_{4}}-{{m}_{1}}-{{m}_{2}}}{{{m}_{4}}} \right)\cdot g\]
  done clear
  C)
  \[{{a}_{4}}=\frac{({{m}_{1}}+{{m}_{2}})g}{{{m}_{4}}}\]   
  done clear
  D)
  \[{{a}_{4}}=\left( \frac{{{m}_{3}}-{{m}_{1}}-{{m}_{2}}}{{{m}_{4}}} \right)\cdot g\]
  done clear
  View Answer play_arrow

• question_answer30)
  Colours of moist objects seems deeper and richer than those of dry ones. This happens because
  A)
  water oxidises the dye of colour
  done clear
  B)
  interference occurs from reflections from top and bottom layers of water film
  done clear
  C)
  thin water covered surface reflects light in one direction only
  done clear
  D)
  water layer acts like a converging lens
  done clear
  View Answer play_arrow

• question_answer31)
  XOY-plane is a boundary between two transparent media. Medium 1 with \[=0,\]has a refractive index \[\sqrt{2}\] and medium 2 with \[\le 0,\] has a refractive index \[\sqrt{3}.\]A light ray\[AO=6\sqrt{3i}+8\sqrt{3}j-10\hat{k}\]is incident over point O in medium 1. If refracted ray in medium 2 is \[r=a\hat{i}+b\hat{j}+c\hat{k}.\]Then, correct relation is
  A)
  \[a=\frac{4b}{3}\]
  done clear
  B)
  \[c=\frac{5a}{3}\]
  done clear
  C)
  \[c=-\frac{5a}{3}\]
  done clear
  D)
  \[a=\frac{-\,4b}{3}\]
  done clear
  View Answer play_arrow

• question_answer32)

  When a spherical ball is suspended in an air or water jet as shown alongside.

  Vertical elevation \[\]depends on

  d = sphere diameter,

  g = gravitational constant,

  \[{{\rho }_{1}}=\]fermi density,

  \[{{\rho }_{2}}=\]mass density of ball

  and F = force of fluid on ball.

  Then, which of these graphs is correct experimental observation of \[\frac{{}}{d}\]versus x, where \[x=\frac{F}{{{d}^{3}}g({{\rho }_{2}}-{{\rho }_{1}})}\]is

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

• question_answer33)

  An unstable radioactive substance decays into a daughter product, but this in turn will probably itself decay until, a stable non-decaying isotope is formed. The list of all members is called a radioactive series. An example of a series is

  \[_{90}^{232}Th\xrightarrow{\alpha }_{88}^{228}Ra\xrightarrow{\beta }_{89}^{228}AC\xrightarrow{\beta }\]

  \[_{90}^{232}Th\xrightarrow{\alpha }_{88}^{228}Ra\xrightarrow{a}_{89}^{228}Ra\xrightarrow{\alpha }_{84}^{216}Po\]

  Now, choose the correct option.

  A)
  \[{}^{232}Th\]and \[{}^{228}Th\]are isobars
  done clear
  B)
  \[{}^{228}Ra\] and \[{}^{228}Ac\]are isotopes
  done clear
  C)
  \[{}^{232}Th\] and \[{}^{220}Ra\]are isotones
  done clear
  D)
  After some time all the members of series are in equilibrium
  done clear
  View Answer play_arrow

• question_answer34)

  Which region of binding energy per nucleon versus mass number curve indicates that the nucleus also have some kind of its own structure.

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

• question_answer35)

  Consider two heat transfer processes A and B occurring as shown below.

  In both cases, 2000 kJ of heat is taken from source and transferred to sink. Source temperature is 800 K and sink temperatures in A and B are 500 K and 750 K, respectively. Which of the processes is easily reversed?

  A)
  Both A and B
  done clear
  B)
  A
  done clear
  C)
  B
  done clear
  D)
  None of A and B
  done clear
  View Answer play_arrow

• question_answer36)

  \[\frac{pV}{RT}\]versus p graph for methane gas at several RT temperatures \[{{T}_{1}},\]\[{{T}_{2}},\]\[{{T}_{3}}\]and \[{{T}_{4}}\]are as shown below.

  Now, choose the correct option.

  A)
  \[{{T}_{1}}={{T}_{2}}={{T}_{3}}={{T}_{4}}\]
  done clear
  B)
  \[{{T}_{1}}<{{T}_{2}}<{{T}_{3}}<{{T}_{4}}\]
  done clear
  C)
  \[{{T}_{1}}>{{T}_{2}}>{{T}_{3}}>{{T}_{4}}\]
  done clear
  D)
  Data insufficient
  done clear
  View Answer play_arrow

• question_answer37)

  A ring of N turns with radius a and resistance R is pulled into region of magnetic field B at an angle of \[45{}^\circ \] with the horizontal as shown below.

  Charge passes through coil in time duration in which coil is completely immersed in field will be

  A)
  \[\frac{\pi {{a}^{2}}NB}{R}\]
  done clear
  B)
  \[\frac{\pi {{a}^{2}}NB}{\sqrt{2}R}\]
  done clear
  C)
  \[\frac{\sqrt{2}\pi {{a}^{2}}NB}{R}\]
  done clear
  D)
  \[\frac{2\pi {{a}^{2}}NB}{R}\]
  done clear
  View Answer play_arrow

• question_answer38)

  In the circuit given below.

  Potential difference of points A and B at time t is

  A)
  \[\frac{E}{3}\left( 1+\frac{1}{2}{{e}^{-\,t\left( \frac{3R}{2L} \right)}} \right)\]
  done clear
  B)
  \[\frac{E}{3}\left( 1-\frac{1}{2}{{e}^{-\,t\left( \frac{3R}{2L} \right)}} \right)\]
  done clear
  C)
  \[\frac{E}{2}\left( 1+{{e}^{-\,t\left( \frac{3R}{2L} \right)}} \right)\]
  done clear
  D)
  \[\frac{E}{2}\left( 1-{{e}^{-\,t\left( \frac{3R}{2L} \right)}} \right)\]
  done clear
  View Answer play_arrow

• question_answer39)
  Energy of a hydrogen atom in its ground state is (r = atomic radius of hydrogen atom)            
  A)
  \[-\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}r}\]
  done clear
  B)
  \[\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}r}\]
  done clear
  C)
  \[\frac{{{e}^{2}}}{8\pi {{\varepsilon }_{0}}r}\]
  done clear
  D)
  \[-\frac{{{e}^{2}}}{8\pi {{\varepsilon }_{0}}r}\]
  done clear
  View Answer play_arrow

• question_answer40)

  Consider the given statements.

  I. An electron can absorbs a photon.

  II. An electron can absorbs two photons (one after other).

  III. A free electron cannot absorbs a photon

  IV. A bound electron can absorbs two photons

  (one after other).

  Which of the above statement is correct?

  A)
  Only I
  done clear
  B)
  Only III 
  done clear
  C)
  Only IV
  done clear
  D)
  Only II    
  done clear
  View Answer play_arrow

• question_answer41)
  The wurtzite structure is described as hcp of \[{{S}^{2\,-}}\]ions with the alternate tetrahedral voids occupied by \[Z{{n}^{2+}}\]ions. A compound containing A, Band X atoms had the A and B atoms arranged as \[Z{{n}^{2+}}\]and \[{{S}^{2\,-}}\]respectively in the hcp lattice. The X atoms occupied alternate octahedral voids. Which of the following is incorrect?
  A)
  Formula of the compound is \[{{A}_{2}}{{B}_{2}}X\]
  done clear
  B)
  Coordination number of A can be 4.
  done clear
  C)
  Coordination number of X can be 6.
  done clear
  D)
  Centres of 12 A atoms lie on the edges of one unit cell.
  done clear
  View Answer play_arrow

• question_answer42)
  Arrange the following compounds in the increasing order of \[F-Xe-F\] bond angle: \[Xe{{F}_{2}},\]\[Xe{{F}_{4}},\]\[XeF_{5}^{-}\]
  A)
  \[Xe{{F}_{2}}<Xe{{F}_{4}}<XeF_{5}^{-}\]
  done clear
  B)
  \[XeF_{5}^{-}<Xe{{F}_{4}}<Xe{{F}_{2}}\]
  done clear
  C)
  \[Xe{{F}_{2}}<XeF_{5}^{-}<Xe{{F}_{4}}\]
  done clear
  D)
  \[Xe{{F}_{2}}=Xe{{F}_{4}}=XeF_{5}^{-}\]
  done clear
  View Answer play_arrow

• question_answer43)
  In which case van't Hoff factor is maximum (assuming no hydrolysis):
  A)
  KCl, 50% ionised
  done clear
  B)
  \[{{K}_{2}}S{{O}_{4}},\]40% ionized
  done clear
  C)
  \[FeC{{l}_{3}},\]30% ionized
  done clear
  D)
  \[SnC{{l}_{4}},\]20% ionised
  done clear
  View Answer play_arrow

• question_answer44)
  Which of the following statements is true for azide ion?
  A)
  It can act as bidentate ligand.
  done clear
  B)
  Two N-N bond lengths are different in the anion.
  done clear
  C)
  It is isoelectronic and isostructural with\[C{{O}_{2}}.\]
  done clear
  D)
  There are two \[\sigma \] and three \[\pi \] bonds.
  done clear
  View Answer play_arrow

• question_answer45)
  Which does not represent correct method?
  A)
  \[TiC{{l}_{2}}+2Mg\xrightarrow[{}]{{}}Ti+2MgC{{l}_{2}}\]      : Keoll
  done clear
  B)
  \[Ni\,{{(CO)}_{4}}\xrightarrow{{}}Ni+4CO\]       : Mond
  done clear
  C)
  \[A{{g}_{2}}C{{O}_{3}}\xrightarrow[{}]{{}}2Ag+C{{O}_{2}}+\frac{1}{2}{{O}_{2}}\]            : Van Arkel
  done clear
  D)
  \[Zr{{l}_{4}}\xrightarrow[{}]{{}}Zr+2{{l}_{2}}\]                        : Van Arkel
  done clear
  View Answer play_arrow

• question_answer46)
  Which of the following is not correctly matched?
  A)
  Sodium (ethylenediamihetetraacetato) chromate(II) \[-N{{a}_{2}}\,[Cr\,{{(C{{H}_{3}}COO)}_{4}}(en)]\]
  done clear
  B)
  Dichloridobis (ethane-1, 2-diamine) cobalt(III) \[\text{ion}-{{[Co\,{{(Cl)}_{2}}\,{{(en)}_{2}}]}^{+}}\]
  done clear
  C)
  Tris (bipyridyl) iron(II) \[ion-[Fe\,{{(N{{H}_{4}}{{C}_{5}}-{{C}_{5}}{{H}_{4}}{{N}_{3}}]}^{2\,+}}\]
  done clear
  D)
  Ammineaquadibromidocopper (II)  \[-\,\,[Cu\,(N{{H}_{3}})\,\,({{H}_{2}}O)\,B{{r}_{2}}]\]
  done clear
  View Answer play_arrow

• question_answer47)

  \[{{S}_{1}}:\]Melting of Cu(s) is favourable at high temperature and high pressure.

  \[{{S}_{2}}:\] Equilibrium \[{{H}_{2}}+(g)+{{l}_{2}}\,(g)\rightleftharpoons 2Hl\,(g)\] is stablished in V(L). If complete equilibrium mixture is transferred to 2V(L) container then the partial pressure of Hl will remain same in the new container.

  \[{{S}_{3}}:\]Formation of diamond is favourable at very high temperature and very high pressure.

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

• question_answer48)
  Which of the following plots represent the correct variation of \[{{\wedge }_{m}}\] of strong electrocyte?
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer49)
  An aqueous solution contains \[A{{l}^{3+}}\] & \[Z{{n}^{2+}}\] both. To this solution \[N{{H}_{4}}OH\] is added in excess.
  A)
  only \[Al\,{{(OH)}_{3}}\]will be precipitated
  done clear
  B)
  only \[Zn\,{{(OH)}_{2}}\] will be precipitated
  done clear
  C)
  both will be precipitated
  done clear
  D)
  no precipitate will appear
  done clear
  View Answer play_arrow

• question_answer50)
  Which of the following complexes is not correctly matched with their geometries?
  A)
  \[{{[CoC{{l}_{2}}]}^{2-}}-\]tetrahedral
  done clear
  B)
  \[[Co\,{{(PM{{e}_{3}})}_{4}}]-\]tetrahedral
  done clear
  C)
  \[{{[Co\,{{(CN)}_{4}}]}^{3\,-}}-\] tetrahedral
  done clear
  D)
  \[{{[Fe\,{{(CO)}_{4}}]}^{2\,-}}-\]square planar
  done clear
  View Answer play_arrow

• question_answer51)
  Which of the following is incorrect regarding entropy?
  A)
  The entropy of solution formed is higher if the detergent concentration is slightly less than CMC as compared to when its concentration is slightly more than CMC
  done clear
  B)
  The vapour pressure of a solution of 10 g protein molecules is expected to be more than that of 10 g urea molecules as entropy of urea solution is more.
  done clear
  C)
  The entropy of pure solid solvent is lesser than entropy of pure liquid solvent but equal to entropy of liquid solution of non-volatile solute.
  done clear
  D)
  The entropy of colloid molecules decrease on coagulation.
  done clear
  View Answer play_arrow

• question_answer52)

  In the reaction : \[A+2B\xrightarrow{{}}\text{product}\]

  \[\text{rate}=k\,[A]\,\,{{[B]}^{0}}\]

  The initial concentration of both A and Bare a M. The graph of concentration of B vs time is: \[({{t}_{1}}={{t}_{{\scriptstyle{}^{1}/{}_{2}}}}\,\text{for}\,\text{A)}\]

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

• question_answer53)
  Equal volume of two solution having \[pH=2\] and \[pH=10\] are mixed together at \[90{}^\circ C.\] Then pH of resulting solution is: (Take Kw at\[90{}^\circ C={{10}^{-12}}\])
  A)
  \[2+\log 2\]                   
  done clear
  B)
  \[10-\log 2\]
  done clear
  C)
  7
  done clear
  D)
  6
  done clear
  View Answer play_arrow

• question_answer54)
  The pair of compounds in which both the compounds give positive test with Tollen's reagent and Fehling solution is
  A)
  Propanal and Propanone
  done clear
  B)
  Propanal and Benzaldehyde
  done clear
  C)
  Propanal and 2-Phenylethanal
  done clear
  D)
  Benzaldehyde and 1-Hydroxypropanone
  done clear
  View Answer play_arrow

• question_answer55)
  Which of the following is an optically active polymer
  A)
  Nylon 6, 6
  done clear
  B)
  Natural rubber
  done clear
  C)
  Teflon
  done clear
  D)
  PVC
  done clear
  View Answer play_arrow

• question_answer56)
  Isobutyl alcohol and secondary butyl alcohol can be distinguished by.
  A)
  Oxidation with alkaline\[KMn{{O}_{4}}\]& tollen's reagent.
  done clear
  B)
  Oxidation with acidic dichromate & tollen's reagent
  done clear
  C)
  Oxidation by heating with copper followed by reaction with \[{{l}_{2}}/O{{H}^{\Theta }}.\]
  done clear
  D)
  Oxidation by concentrated\[{{H}_{2}}S{{O}_{4}}\]followed by reaction with fehling solution.
  done clear
  View Answer play_arrow

• question_answer57)
  \[(X)\,\,\xrightarrow[{}]{N{{H}_{3}}}\xrightarrow{B{{r}_{2}}/KOH/\Delta }{{C}_{6}}{{H}_{7}}N\,\,(Aromatic)\](X) cannot be :
  A)
  Benzoic acid
  done clear
  B)
  Benzene carbonyl chloride
  done clear
  C)
  Benzoic anhydride
  done clear
  D)
  Benzonitrile
  done clear
  View Answer play_arrow

• question_answer58)

  The correct \[C-C\] bond length order is:

  \[\begin{matrix}    {{H}_{3}}C-C{{H}_{3}}  \\    (x)  \\ \end{matrix}\]    \[\begin{matrix}    {{H}_{3}}C-C{{H}_{2}}-Cl  \\    (y)  \\ \end{matrix}\]

  A)
  \[x>y\]
  done clear
  B)
  \[x<y\]
  done clear
  C)
  \[x=y\]
  done clear
  D)
  \[C-C<C-H\]
  done clear
  View Answer play_arrow

• question_answer59)

  The order of acidity of following acids is:
  \[\begin{matrix}    C{{H}_{3}}-C{{F}_{2}}-COOH  \\    I  \\ \end{matrix}\]	\[\begin{matrix}    C{{H}_{3}}\underset{Br}{\mathop{\underset{|}{\mathop{-CH}}\,}}\,-COOH  \\    II  \\ \end{matrix}\]
  \[\begin{matrix}    C{{H}_{3}}-\underset{Br}{\overset{Br}{\mathop{\underset{|}{\overset{|}{\mathop{C}}}\,}}}\,-COOH  \\    III  \\ \end{matrix}\]	\[\begin{matrix}    C{{F}_{3}}-COOH  \\    IV  \\ \end{matrix}\]

  A)
  I > II > III > IV
  done clear
  B)
  IV > III > II > I
  done clear
  C)
  IV > I > III > II
  done clear
  D)
  IV > III > I > II
  done clear
  View Answer play_arrow

• question_answer60)

  Arrange the following compounds in decreasing order of stability:

  \[\begin{matrix}    C{{H}_{2}}=CH-C{{H}_{2}}-HC=C{{H}_{2}}  \\    I  \\ \end{matrix}\]

  \[\begin{matrix}    C{{H}_{2}}=CH-CH=CH-C{{H}_{3}}  \\    II  \\ \end{matrix}\]

  A)
  I > II > III
  done clear
  B)
  II > I > III
  done clear
  C)
  III > II > I
  done clear
  D)
  III > I > II
  done clear
  View Answer play_arrow

• question_answer61)

  Read the following statements regarding the various techniques used in cancer detection.

  (I)  Cancer detection is based on biopsy and histopathological studies of the tissue, and blood and bone marrow tests for increased cell counts in case of leukaemia.

  (II) In biopsy, a piece of the suspected tissue cut into thin sections is stained and examined under microscope by a

  pathologist.

  (III) Techniques like radiography (use of X- rays), CT (computed tomography) and MRI

  (Magnetic resonance imaging) are very useful to detect cancers of the internal organs.

  (IV) Computed tomography uses strong magnetic fields and non-ionising radiations to detect physiological changes in living tissues.

  (V) MRI uses X-rays and ionising radiation to generate a 3-D image of the internal structure of an object.

  Which of the above statements are incorrect?

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

• question_answer62)

  The diagram illustrates energy changes in an enzyme controlled reaction.

  Which of the following represent the lowering of the activation energy?

  A)
  X
  done clear
  B)
  Y
  done clear
  C)
  Z
  done clear
  D)
  Z-Y
  done clear
  View Answer play_arrow

• question_answer63)

  Which one out of A-D given below correctly represents the structural formula of the basic Amino acid?

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

• question_answer64)

  In the given diagram which stage of conduction off nerve impulse through the nerve fibre is observed?

  A)
  Polarisation
  done clear
  B)
  Resting potential
  done clear
  C)
  Repolarisation
  done clear
  D)
  Depolarisation
  done clear
  View Answer play_arrow

• question_answer65)
  If the protein hormone insulin from several Mammalian species has similar activity in regulating sugar metabolism when injected into another species, which of the following is most appropriate?
  A)
  Primary structures of insulin from different species are identical.
  done clear
  B)
  Somewhat different ammo acid sequences may yield similar 3-dimensional conformations.
  done clear
  C)
  Three-dimensional conformation has little relation to biological activity.
  done clear
  D)
  None of the above
  done clear
  View Answer play_arrow

• question_answer66)
  Which of the following findings derived from recent analysis of the human genome does not illustrate our genetic relationships to other, more "primitive" organisms?
  A)
  Only 35,000 genes are required to make a human.
  done clear
  B)
  Human DNA contains hundreds of bacterial genes.
  done clear
  C)
  Numerous homeotic genes are shared among humans and other animals.
  done clear
  D)
  There are over 40 newly identified disease genes.
  done clear
  View Answer play_arrow

• question_answer67)

  The graph shows an oxygen dissociation curve for haemoglobin.

  In the body at which point, haemoglobin will be saturated at the percentages shown at points 1,

  2, and 3 on the graph?

  A)

  Left ventricle	Pulmonary vein	Vena cava
  1	2	3

  done clear
  B)

  Left ventricle	Pulmonary vein	Vena cava
  2	1	3

  done clear
  C)

  Left ventricle	Pulmonary vein	Vena cava
  2	3	1

  done clear
  D)

  Left ventricle	Pulmonary vein	Vena cava
  3	2	1

  done clear
  View Answer play_arrow

• question_answer68)

  The diagram shows an action potential.

  At which point on the graph, membrane is most Permeable to sodium ions?

  A)
   P
  done clear
  B)
  Q
  done clear
  C)
   R
  done clear
  D)
  S
  done clear
  View Answer play_arrow

• question_answer69)
  The type of connective tissue that is associated with the umbilical cord is:
  A)
  Areolar connective tissue
  done clear
  B)
  Jelly-like connective tissue
  done clear
  C)
  Adipose connective tissue
  done clear
  D)
  Reticular connective tissue
  done clear
  View Answer play_arrow

• question_answer70)
  Apomictic embryos in citrus arise from:
  A)
  Synergids
  done clear
  B)
  Maternal sporophytic tissue in ovule
  done clear
  C)
  Antipodal cells
  done clear
  D)
  Diploid egg
  done clear
  View Answer play_arrow

• question_answer71)
  The telomeres of eukaryotic chromosomes consist of short sequences of:
  A)
  Adenine-rich repeats
  done clear
  B)
  Guanine-rich repeats
  done clear
  C)
  Thymine-rich repeats
  done clear
  D)
  Cytosine-rich repeats
  done clear
  View Answer play_arrow

• question_answer72)
  A drug is given to an animal that completely blocks the absorption of nutrients within the digestive system. Which of the following structures is most severely impacted by this treatment?
  A)
   Intestine
  done clear
  B)
  Buccal cavity
  done clear
  C)
   Crop
  done clear
  D)
  Stomach
  done clear
  View Answer play_arrow

• question_answer73)
  Contribution of Ingenhousz in elucidation of process of photosynthesis is that
  A)
  Only green parts of plants exposed to light can convert foul air \[(C{{O}_{2}})\] into pure air \[({{\operatorname{O}}_{2}})\].
  done clear
  B)
  Green plants convert light energy into chemical energy.
  done clear
  C)
  Plants have the capacity to purify foul air.
  done clear
  D)
  Sunlight is the ultimate source of energy for plants and animals.
  done clear
  View Answer play_arrow

• question_answer74)
  Which of the following is related to obesity, low plasma\[N{{a}^{+}}\], high \[{{K}^{+}}\] and increased blood pressure?
  A)
  Growth hormone
  done clear
  B)
  Cortisol
  done clear
  C)
  Thyroxine
  done clear
  D)
  Adrenaline
  done clear
  View Answer play_arrow

• question_answer75)
  \[E.coli\] cells with a mutated z gene of the \[lac\]operon cannot grow in medium containing only lactose as the source of energy because
  A)
  The lac operon is constitutively active in these cells.
  done clear
  B)
  They cannot synthesise functional beta- galactosidase.
  done clear
  C)
  In the presence of glucose, \[E.coli\]cells do not utilise lactose.
  done clear
  D)
  They cannot transport lactose from the medium into the cell.
  done clear
  View Answer play_arrow

• question_answer76)
  During the light phase of photosynthesis, the Photo activated pigments remove an electron from the water molecule. The fate of the free hydroxyl radical is that it
  A)
  Is broken down into oxygen and a free radical of hydrogen.
  done clear
  B)
  Is used to raise the activation level of chlorophyll by donating a positive charge.
  done clear
  C)
  Is used to produce adenosine triphosphate from adenosine diphosphate.
  done clear
  D)
  Reduces carbon dioxide to sugar.
  done clear
  View Answer play_arrow

• question_answer77)
  The ultimate gain of light reaction is:
  A)
  \[ATP\And NADP{{H}_{2}}\]
  done clear
  B)
  \[NADP{{H}_{2}}\]
  done clear
  C)
  Only ATP
  done clear
  D)
  Only \[{{O}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer78)
  Ploidy level of Nucellus, endosperm, polar nuclei megaspore mother cell and female gametophyte Respectively is:
  A)
  \[2n,3n,n,2n,n\] 
  done clear
  B)
  \[2n,3n,2n,n,n\]
  done clear
  C)
  \[n,2n,n,2n,n\]
  done clear
  D)
  \[2n,3n,2n,2n,n\]
  done clear
  View Answer play_arrow

• question_answer79)
  Jaundice is yellowing of the skin due to accumulation of bilirubin and/or other products of haemoglobin breakdown. Bilirubin is formed in the blood but is further transformed by the liver and excreted in the bile. Which of the following is not a cause of jaundice?   
  A)
  Excessive fragility of RBC
  done clear
  B)
  Hepatitis and gall stones
  done clear
  C)
  Cancer of pancreas
  done clear
  D)
  None of the above
  done clear
  View Answer play_arrow

• question_answer80)
  Which of the following gene clusters in bacteria are responsible for nitrogen fixation?
  A)
  \[nod,\text{ }nif\]
  done clear
  B)
  \[nod,nfx\]
  done clear
  C)
  \[nod,\text{ }nix~\]
  done clear
  D)
  \[ndx,\text{ }nif\]
  done clear
  View Answer play_arrow

• question_answer81)
  Let x be a twice differentiable function  such that, for all  If then  is :
  A)
  increasing on (0, 2)
  done clear
  B)
  increasing on (0, 1) and decreasing on (1. 2)
  done clear
  C)
  decreasing on (0, 2)
  done clear
  D)
  decreasing on (0, 1) and increasing on (1. 2)
  done clear
  View Answer play_arrow

• question_answer82)

  The greatest value of c e R for which the system of linear equations

  has a non-trivial solution, is:

  A)
  
  done clear
  B)
  0
  done clear
  C)
  2
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer83)
  The magnitude of the projection of the vector on the vector perpendicular to the plane containing the vectors  and  is:
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer84)
  The mean and variance of seven observations are 8 and 16, respectively. If 5 of the observations are 2, 4, 10, 12, 14, then the product of the remaining two observations is:
  A)
  45
  done clear
  B)
  48
  done clear
  C)
  49
  done clear
  D)
  40
  done clear
  View Answer play_arrow

• question_answer85)
  The area (in sq. units) of the region   is :
  A)
  8
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer86)
  If  where then  is equal to:
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer87)
  If and are respectively the sets of local minimum a and local maximum points of the function,
  A)
   
  done clear
  B)
   
  done clear
  C)
   
  done clear
  D)
   
  done clear
  View Answer play_arrow

• question_answer88)
  Let  Such that  The a value of a is ;
  A)
  
  done clear
  B)
  0
  done clear
  C)
        
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer89)
  If a and p be the roots of the equation 0, then the least value of n for which  is :
  A)
  3
  done clear
  B)
  5
  done clear
  C)
  4
  done clear
  D)
  2
  done clear
  View Answer play_arrow

• question_answer90)
  The contrapositive of the statement "If you are born in  India, then you are a citizen of India", is:
  A)
  If you are a citizen of India, then you are born in India
  done clear
  B)
  If you are born in India, then you are not are born a of India
  done clear
  C)
  if you are not a citizen of India, then you are not born in India
  done clear
  D)
  If you are not born in India, then you are not citizen of India
  done clear
  View Answer play_arrow

• question_answer91)
  A light beam is incident over a spherical drop of water at an angle of  Total deviation of light ray after a single reflection from internal surface of drop is let  Then, for of value of  will be
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer92)
  A cart of mass mg starts moving right due to a constant horizontal force F. At same time, sand starts falling into cart from a stationary hopper. Rate of loading is constant and equal to Velocity of cart at time t is
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer93)
  .

  A ladder PQ of length 5 m is inclined to a vertical wall is slipping over horizontal floor with velocity of \[2\,m{{s}^{-1}}.\]

  Velocity of centre of mass of ladder, when Q is 3 m from the wall is

  A)
  \[2\,m{{s}^{-\,1}}\]
  done clear
  B)
  \[1.25\,m{{s}^{-\,1}}\]
  done clear
  C)
  \[175\,m{{s}^{-\,1}}\]
  done clear
  D)
  \[2.75\,m{{s}^{-\,1}}\]
  done clear
  View Answer play_arrow

• question_answer94)
  A voltmeter with resistance \[500\,\Omega \]is used to measure the emf of a cell of internal resistance \[4\Omega .\] Percentage error in reading of voltmeter is around below
  A)
  1%
  done clear
  B)
  0.8%   
  done clear
  C)
  0.1%
  done clear
  D)
  8%
  done clear
  View Answer play_arrow

• question_answer95)

  A gas undergoes two processes as shown below.

  Ratio of molar heat capacities for process AB and BA is

  A)
  less than 1
  done clear
  B)
  greater than 1
  done clear
  C)
  equal to 1
  done clear
  D)
  Data insufficient
  done clear
  View Answer play_arrow

• question_answer96)

  A regular hexagonal mesh using equal resistances each of \[2\Omega \]is made as shown below.

  Then, equivalent resistance between terminals A and B is

  A)
  \[\frac{8}{5}\Omega \]
  done clear
  B)
  \[\frac{5}{8}\Omega \]
  done clear
  C)
  \[\frac{3}{8}\Omega \]  
  done clear
  D)
  \[2\Omega \]  
  done clear
  View Answer play_arrow

• question_answer97)
                              \[A{}^{238}U\] nucleus emits a 4.2 MeV \[\alpha \text{-}\]particle. If we take account of recoil energy of \[{}^{234}Th\] daughter nucleus formed in the process, then Q value (disintegration energy) of the reaction will be
  A)
  \[4.2\left( 1+\frac{4}{238} \right)MeV\]
  done clear
  B)
  \[4.2\left( \frac{234}{238} \right)MeV\]
  done clear
  C)
  \[4.2\left( \frac{238}{234} \right)MeV\]
  done clear
  D)
  \[4.2\left( 1-\frac{4}{234} \right)MeV\]
  done clear
  View Answer play_arrow

• question_answer98)

  Two towers AB and CD are situated d distant apart.

  AB is 20 m high and CD is 30 m high. From top of AB a particle of mass m is thrown towards CD with speed\[u=10m/s.\] At same instant, another particle of mass 2 m is thrown from CD towards AB at an angle of \[60{}^\circ \] with the horizontal in same vertical plane with same speed of \[10\,m{{s}^{-1}}.\]Distance between towers is

  A)
  \[5\sqrt{3}m\]
  done clear
  B)
  \[6\sqrt{3}\,m\]
  done clear
  C)
  \[8\sqrt{3}\,m\]
  done clear
  D)
  \[10\sqrt{3}\,m\]
  done clear
  View Answer play_arrow

• question_answer99)
  An ideal gas undergoes an adiabatic process in which internal energy U is \[U=a+b\,(pV),\]where a and b are constants. Value of \[\gamma \] for this process is
  A)
  \[\frac{b}{1+b}\]
  done clear
  B)
  \[b\]
  done clear
  C)
  \[\frac{b+1}{b+2}\]
  done clear
  D)
  \[1+\frac{1}{b}\]
  done clear
  View Answer play_arrow

• question_answer100)
  A measurement establishes the position of a proton with an accuracy of \[\pm \,1.00\times {{10}^{-\,11}}m.\] Uncertainly in the proton's position 1 s later is (take,\[\upsilon <<c\])
  A)
  3.15 mm
  done clear
  B)
  3.15 cm
  done clear
  C)
  3.15 m
  done clear
  D)
  3.15 km
  done clear
  View Answer play_arrow

• question_answer101)

  \[{{S}_{1}}:\]All adiabatic processes are isoentropic processes.

  \[{{S}_{2}}:\]When \[{{(\Delta \,{{G}_{\text{system}}})}_{T,P}}<0;\] the reaction must be exothermic.

  \[{{S}_{3}}:\] Radial nodes' can appear when radial probability distribution function become zero,

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

• question_answer102)
  Zn Amalgam is prepared by electrolysis of aqueous\[ZnC{{l}_{2}}\]using Hg cathode (9gm). How much current is to be passed through\[ZnC{{l}_{2}}\]solution for 1000 seconds to prepare a Zn Amalgam with 25% Zn by wt.\[(Zn=65,\,\,4)\]
  A)
  5.6 amp
  done clear
  B)
  7.2 amp
  done clear
  C)
  8.85 amp
  done clear
  D)
  11.2 amp
  done clear
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• question_answer103)
  A solution \[N{{a}_{2}}{{S}_{2}}{{O}_{3}}\] is standardized iodimetrically against 0.1262 g of \[KBr{{O}_{3}}.\] this process requires 45 mL of the \[N{{a}_{2}}{{S}_{2}}{{O}_{3}}\] solution. What is the molarity of the \[N{{a}_{2}}{{S}_{2}}{{O}_{3}}\]?
  A)
  0.2 M
  done clear
  B)
  0.5 M
  done clear
  C)
  0.05 M
  done clear
  D)
  0.1 M
  done clear
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• question_answer104)
  Analysis show that nickel oxide consist of nickel ion with 96% ions having \[{{d}^{8}}\] configuration and 4% having \[{{d}^{7}}\]configuration. Which amongst the following best represents the formula of the oxide.
  A)
  \[N{{i}_{1.02}}{{O}_{1.00}}\]
  done clear
  B)
  \[N{{i}_{0.96}}{{O}_{1.00}}\]
  done clear
  C)
  \[N{{i}_{0.98}}{{O}_{0.98}}\]
  done clear
  D)
  \[N{{i}_{0.98}}{{O}_{1.00}}\]
  done clear
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• question_answer105)
  Select the INCORRECT statement:
  A)
  \[{{N}_{2}}O\] with sodium metal in liquid ammonia forms sodium azide and nitrogen gas is liberated.
  done clear
  B)
  Ammonia is oxidised to nitrogen by dilute solution of sodium hypochlorite in presence of glue.
  done clear
  C)
  Ammonium dichromate on heating decomposes to give nitrogen and a green coloured compound.
  done clear
  D)
  CaNCN on hydrolysis produces a white precipitate and a gas which turns filter paper moistened with copper sulphate solution deep blue.
  done clear
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• question_answer106)
  An energy of 40.8 eV is required to excite a Hydrogen-like species from 1st Bohr orbit to second. Which is/are correct statements):
  A)
  Atomic number of H-like species is 2.
  done clear
  B)
  lonisation energy of H-like species is 122.4 eV.
  done clear
  C)
  Kinetic energy of electron in 1st orbit is 50.4 eV.
  done clear
  D)
  Energy of third orbit is \[-13.6\,\,eV.\]
  done clear
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• question_answer107)
  Fluorobenzene is best prepared by
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
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• question_answer108)
  In the reaction,  the major product is
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
   
  done clear
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• question_answer109)
  The correct orders are:
  A)

  (rate of decarboxylation)

  done clear
  B)

  (rate of aldol condensation)

  done clear
  C)

  (rate of base catalysed condensation)

  done clear
  D)

  (rate of diazocoupling with \[Ph\overset{\oplus }{\mathop{N}}\,2\])

  done clear
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• question_answer110)
  The rate of esterification of\[C{{H}_{3}}COOH\]is fastest with
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
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• question_answer111)
  In a species, the weight of newborn ranges from 2 to 5 kg. 97% of the newborn with an average weight between 3 to 3.3 kg survive whereas 99% of the infants born with weights from 2 to 2.5 kg or 4.5 to 5 kg die. Which type of selection process is taking place?
  A)
  Directional selection
  done clear
  B)
  Stabilising selection
  done clear
  C)
  Disruptive selection
  done clear
  D)
  Cyclical selection
  done clear
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• question_answer112)
  Match the columns and identify the correct option.

  	Column-I		Column-II
  A.	Thylakoids	I.	Disc-shaped sacs in Golgi apparatus
  B.	Cristae	II.	Condensed structure of DNA
  C.	Cisternae	III.	Flat membranous sacs in stroma
  D.	Chromatin	IV.	Infoldings in mitochondria

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

• question_answer113)

  The semiconservative nature of DNA replication was established by Meselson and Stahl in their classic experiment with bacteria. They grew bacteria in \[{{N}^{15}}-N{{H}_{4}}Cl\] containing medium, washed and then incubated in fresh medium with

  \[{{\operatorname{N}}^{14}}\]-containing compounds and allowed to grow for three generations. \[CsCl\] density gradient centrifugation of isolated DNA established the nature of semiconservative DNA replication. The pictorial representation below shows the position of differentially labelled DNA in \[CsCl\] density gradient.

  Had the DNA replication been conservative, what would have been the pattern?

  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
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• question_answer114)
  How many fragments will be generated if you digest a linear DNA molecule with a restriction enzyme having three recognition sites?
  A)
  3
  done clear
  B)
  4
  done clear
  C)
  5
  done clear
  D)
  6
  done clear
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• question_answer115)

  Plants P and Q were studied for the effect of flashes of light on the flowering. For both P and Q, during 14 h dark period, flashes of light were given at different time intervals. The results are shown in the graph. Choose the correct statement from the following options.

  A)
  P: Short day plant, sufficient \[{{\operatorname{P}}_{fr}}\] (in the Middle of the dark period)\[\to \] florigen
  done clear
  B)
  Q: Short day plant, sufficient \[{{\operatorname{P}}_{r}}\] (in the Middle of the dark period)\[\to \] florigen
  done clear
  C)
  P: Long day plant, sufficient \[{{\operatorname{P}}_{r}}\] (in the Middle of the dark period) \[\to \]florigen
  done clear
  D)
  Q: Long day plant, sufficient \[{{\operatorname{P}}_{fr}}\] (in the middle of the dark period) \[\to \]florigen
  done clear
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• question_answer116)
  Genes A and B are farther apart than are genes A and C, and all three are linked. Which of the followings cannot be concluded?
  A)
  'B' might be between 'A' and 'C'.
  done clear
  B)
  'C' might be between 'A' and 'B'.
  done clear
  C)
  More crossovers will occur between 'A' and 'B' than between 'A' and 'C'.
  done clear
  D)
  Both [a] and [b]
  done clear
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• question_answer117)

  The DNA content of individual cells and the number of cells in each phase of a "cell cycle" can be determined using flow cytometry. Which of the following combinations of "phase of a cell cycle and its corresponding DNA content" can be considered normal?

  (I)  Diploid cells found in the \[{{G}_{0}}\] phase.

  (II) Cells with twice the normal DNA content in the early M phase.

  (III) Cells with intermediate amount of DNA in the S phase.

  (IV) Cells with twice the normal DNA content in the \[{{\operatorname{G}}_{2}}\] phase.

  A)
  (I) and (II)
  done clear
  B)
  (II) and (III)
  done clear
  C)
  (III) and (IV)      
  done clear
  D)
  All of these
  done clear
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• question_answer118)

  Two food chains are shown.

  (I) Tree \[\to \] aphid \[\to \] insectivorous bird \[\to \] prey feed on bird

  (II) Phytoplankton\[\to \] zooplankton \[\to \] plankton feeding fish\[\to \] carnivorous fish

  Which of the following diagram is a pyramid of Energy, representing both food chains?

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

• question_answer119)
  Human beings have a significant ability to maintain and moderate the respiratory rhythm to suit demands of the body. For it, we have Respiratory rhythm Centre in medulla (R), Pneumotaxic Centre in pons (PT), Chemosensitive area in medulla \[({{C}_{1}})\], Peripheral chemoreceptors in aortic arch and carotid artery \[({{C}_{2}})\]. Find out the correct path for regulation of respiration.
  A)
  \[{{C}_{2}}\to R\to PT\to {{C}_{1}}\]
  done clear
  B)
  \[PT\to \underset{\underset{{}}{\mathop {{C}_{1}}}\,}{\mathop{\underset{\underset{{}}{\mathop \downarrow }\,}{\mathop{R}}\,}}\,\to {{C}_{2}}\]
  done clear
  C)
  \[{{C}_{1}}\to \underset{R}{\mathop{\underset{\downarrow }{\mathop{PT}}\,}}\,\to {{C}_{2}}\]
  done clear
  D)
  \[PT\to \underset{R}{\mathop{\underset{\downarrow }{\mathop{{{C}_{2}}}}\,}}\,\to {{C}_{1}}\]
  done clear
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• question_answer120)
  Match column-I with column-II and select the correct option using the codes.

  	Column-I		Column-II
  A.	Autosomal recessive trait	I.	Down?s syndrome
  B.	Sex-linked recessive trait	II.	Phenylketonuria
  C.	Metabolic error linked autosomal recessive	III.	Haemophilia
  D.	Additional 21st chromosome	IV.	Sickle cell anaemia

  A)
  A - II; B - I; C - IV; D - III
  done clear
  B)
  A - IV; B - I; C - II; D - III
  done clear
  C)
  A - IV; B - III; C - II; D - I
  done clear
  D)
   A - III; B - IV; C - I; D - II 
  done clear
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