KVPY Sample Paper

done KVPY Stream-SX Model Paper-4 Total Questions - 120   

• question_answer1)
  The position vectors of three points A, B, C are \[\hat{i}+2\hat{j}+3\hat{k},\] \[2\hat{i}+3\hat{j}+\hat{k}\] & \[3\hat{i}+\hat{j}+2\hat{k}.\] A unit vector perpendicular to the plane of the triangle ABC is -
  A)
  \[\left( -\frac{1}{\sqrt{3}} \right)\,\,(\hat{i}+\hat{j}+\hat{k})\]
  done clear
  B)
  \[\left( \frac{1}{\sqrt{3}} \right)\,\,(\hat{i}-\hat{j}+\hat{k})\]
  done clear
  C)
  \[\left( \frac{1}{\sqrt{3}} \right)\,\,(\hat{i}+\hat{j}-\hat{k})\]         
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer2)
  Solution set of inequality \[lo{{g}_{sin\text{ }e}}\text{ }logo\text{ }x<0\] is (where e is Napier's constant)
  A)
  \[\left( \frac{1}{125},\infty  \right)\]                     
  done clear
  B)
  \[\left( -\infty ,\frac{1}{125} \right)\]
  done clear
  C)
  \[\left( 0,\frac{1}{125} \right)\]                
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer3)
  Let \[{{(1+{{x}^{2}})}^{2}}{{(1+x)}^{n}}={{A}_{0}}+{{A}_{1}}x+{{A}_{2}}{{x}^{2}}+.....\] If \[{{A}_{0}},\] \[{{A}_{1}},\] \[{{A}_{2}}\] are in A. P. then the value of n is-
  A)
  2         
  done clear
  B)
  4    
  done clear
  C)
  6                                 
  done clear
  D)
  7
  done clear
  View Answer play_arrow

• question_answer4)
  If \[{{z}_{1}}\] and \[{{z}_{2}}\] are two complex numbers such that \[\operatorname{Re}\,\,({{z}_{2}})\ne 0,\] \[Re\,\,({{z}_{1}}+{{z}_{2}})=0\] and \[\operatorname{Im}\,({{z}_{1}}{{z}_{2}})=0\]then -
  A)
  \[{{z}_{1}}={{z}_{2}}\]                      
  done clear
  B)
  \[{{z}_{1}}={{\bar{z}}_{2}}\]
  done clear
  C)
  \[{{z}_{1}}=-\,{{\bar{z}}_{2}}\]          
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer5)
  The derivative of \[f(x)={{\left| x \right|}^{3}}\] and x=0 is -
  A)
  \[-1\]                            
  done clear
  B)
  0
  done clear
  C)
  1                                 
  done clear
  D)
  does not exist    
  done clear
  View Answer play_arrow

• question_answer6)
      \[\int\limits_{\pi /4}^{\pi /2}{\sqrt{2+\sqrt{2+2\cos 4x}}}\,\,dx\] is equal to -
  A)
  \[\sqrt{2}\]                    
  done clear
  B)
  \[\sqrt{2}\,\,(\sqrt{2}-1)\]
  done clear
  C)
   2                                
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer7)
   \[\int{\frac{{{x}^{3}}dx}{\sqrt{1+{{x}^{2}}}}}\] equals -
  A)
  \[\frac{{{(1+{{x}^{2}})}^{3/2}}}{3}\sqrt{1+{{x}^{2}}}+c\]
  done clear
  B)
  \[{{x}^{2}}\sqrt{1+{{x}^{2}}}-\frac{1}{3}{{(1+{{x}^{2}})}^{3}}=c\]
  done clear
  C)
  \[\frac{1}{3}{{x}^{2}}\sqrt{1+{{x}^{2}}}-\frac{2}{3}{{(1+{{x}^{2}})}^{3}}+c\]
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer8)
  The number of real solutions of the equation, \[{{\cot }^{-1}}(x-1)+{{\cot }^{-1}}(6-x)={{\cot }^{-1}}(x-2)\] is -
  A)
  0                                 
  done clear
  B)
  1
  done clear
  C)
  2                     
  done clear
  D)
  infinite
  done clear
  View Answer play_arrow

• question_answer9)
  y = f(x) is a continuous function such that its graph passes through (a, 0). Then \[\underset{x\to a}{\mathop{\text{Limit}}}\,\,\,\frac{{{\log }_{e}}(1+3f(x))}{2f(x)}\] is-
  A)
  1                                 
  done clear
  B)
  0   
  done clear
  C)
  3/2                   
  done clear
  D)
  2/3
  done clear
  View Answer play_arrow

• question_answer10)
  If the matrix \[\left[ \begin{matrix}    1 & 2a & 2  \\    0 & -1 & 1  \\    a & 1 & 3  \\ \end{matrix} \right]\] is not equivalent to then a is,\[a\in B.\]
  A)
  1                     
  done clear
  B)
  2
  done clear
  C)
  4                                 
  done clear
  D)
  No such 'a' exists
  done clear
  View Answer play_arrow

• question_answer11)
  If \[x,\text{ }y\text{ }\in \text{ }R\] and \[x-y=\text{ }2\] then minimum value of \[x+y+xy\] is -
  A)
  2                                 
  done clear
  B)
  \[-\,2\]   
  done clear
  C)
  0                                 
  done clear
  D)
  1
  done clear
  View Answer play_arrow

• question_answer12)
  If \[f(x)\] is a differentiable function satisfying \[f(x)<2\] for all \[x\in R\] and \[f(1)=2,\] then greatest possible integral value of \[f(3)\] is -
  A)
  5         
  done clear
  B)
  6    
  done clear
  C)
  7                                 
  done clear
  D)
  8
  done clear
  View Answer play_arrow

• question_answer13)
  Tangents are drawn from a point on the directrix to the parabola \[{{y}^{2}}=4ax.\] The locus of foot of perpendicular drawn from this point to its chord of contact is a -
  A)
  Straight line                   
  done clear
  B)
  point
  done clear
  C)
  Circle               
  done clear
  D)
  parabola
  done clear
  View Answer play_arrow

• question_answer14)
  The number of non-negative integral solution of the equation, \[x+y+3z=33\] is -
  A)
  120                              
  done clear
  B)
  135  
  done clear
  C)
  210                  
  done clear
  D)
  520
  done clear
  View Answer play_arrow

• question_answer15)
  A missile is fired at a plane on which there are two targets I and II. The probability of hitting target I is \[{{P}_{1}}\] & that of hitting the II is \[{{P}_{2}}\] If it is known that target I is not hit, then the probability that the target II is hit is -
  A)
  \[\frac{{{P}_{2}}}{{{P}_{1}}+{{P}_{2}}-{{P}_{1}}{{P}_{2}}}\]      
  done clear
  B)
   \[\frac{{{P}_{2}}(1-{{P}_{1}})}{1-{{P}_{1}}{{P}_{2}}}\]
  done clear
  C)
  \[{{P}_{2}}(1-{{P}_{1}})\]                  
  done clear
  D)
  \[\frac{{{P}_{2}}}{1-{{P}_{1}}}\]
  done clear
  View Answer play_arrow

• question_answer16)
  If A. M. between \[{{p}^{th}}\] and \[{{q}^{th}}\] terms of an A.P. be equal to the A.M. between \[{{r}^{th}}\] and \[{{s}^{th}}\] term of the A.P. then p + q is equal to -
  A)
  \[r+s\]
  done clear
  B)
  \[\frac{r-s}{r+s}\]
  done clear
  C)
  \[\frac{r+s}{r-s}\]                      
  done clear
  D)
  \[r+s+1\]
  done clear
  View Answer play_arrow

• question_answer17)
  The lines \[y=-\frac{3}{2}x\] and \[y=-\frac{2}{5}\,x\] intersect the curve \[3{{x}^{2}}+4xy+5{{y}^{2}}-4=0\] at the points P and Q respectively. The tangents drawn to the curve at P and Q.
  A)
  Intersect each other at angle of \[45{}^\circ \]
  done clear
  B)
  Are parallel to each other
  done clear
  C)
  Are perpendicular to each other
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer18)
  \[\text{sin }47{}^\circ +\text{sin }61{}^\circ -\text{sin }11{}^\circ -\text{sin }25{}^\circ \] is equal to-
  A)
  \[\sin \,36{}^\circ \]                  
  done clear
  B)
  \[\text{cos }36{}^\circ \]
  done clear
  C)
  \[\sin \,7{}^\circ \]                    
  done clear
  D)
  \[\text{cos }7{}^\circ \]
  done clear
  View Answer play_arrow

• question_answer19)
  The lengths of the diagonals of a parallelogram constructed on the vectors \[\vec{p}=2\,\,\vec{a}+\vec{b}\] and \[\vec{q}=\text{\vec{a}}-2\vec{b}\] where \[\vec{a}\] & \[\vec{b}\] are unit vectors forming an angle of \[60{}^\circ \] are -
  A)
  3 & 4               
  done clear
  B)
  \[\sqrt{7}\And \sqrt{13}\]
  done clear
  C)
  \[\sqrt{5}\And \sqrt{11}\]                       
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer20)
  Let \[{{z}_{1}},{{z}_{2}},{{z}_{3}},{{z}_{4}}\] be the vertices A, B, C, D respectively of a square on the argand plane taken in anticlockwise direction, then -
  A)
  \[2{{z}_{4}}=(1-i)\,\,{{z}_{1}}+(1+i)\,\,{{z}_{1}}\]
  done clear
  B)
  \[2{{z}_{1}}=(1-i)\,\,{{z}_{1}}+(1+i)\,\,{{z}_{3}}\]
  done clear
  C)
  \[2{{z}_{4}}=(1+i)\,\,{{z}_{1}}+(1-i)\,\,{{z}_{3}}\]
  done clear
  D)
  \[3{{z}_{1}}=(1+i)\,\,{{z}_{1}}+(1-i)\,\,{{z}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer21)
  In an experiment to determine the acceleration due to gravity g, the formula used for the time Period of a periodic motion is \[T=2\pi \sqrt{\frac{7\left( R-r \right)}{5g}}\]. The values of R and r are Measured to be \[\left( 60\text{ }\pm \text{ }1 \right)\]mm and \[\left( 10\text{ }\pm \text{ }1 \right)\]mm, respectively. In five successive measurements, the time period is found to be\[0.52s,\text{ }0.56s,\text{ }0.57s,\text{ }0.54s\text{ }and\text{ }0.59s\].The least count of the watch used for the measurement of time period is 0.01 s. Which of the following statement is incorrect?
  A)
  The error in the measurement of r is \[~10%\]
  done clear
  B)
  The error in the determined value of g is \[11\text{ }%\]
  done clear
  C)
  The error in the measurement of T is \[~3.75%\]
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer22)
  A thin uniform rod, pivoted at \[O\], is rotating in the horizontal plane with constant angular speed \[\omega \], as shown in the figure. At time \[t\text{ }=\text{ 0},\] a small insect starts from \[O\] and moves with constant speed v, with respect to the rod towards the other end. It reaches the end of the rod at \[t=T\] and stops. The angular speed of the system remains \[\omega \] throughout. The magnitude of the torque about 0, as a function of time is best represented by which plot?
  A)
   
  done clear
  B)
  
  done clear
  C)
   
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer23)
    Two mirrors, one concave and the other convex, are placed 60 cm apart with their reflecting surfaces facing each other. An object is placed 30 cm from the pole of either of them on their axis. If the focal lengths of both the mirrors are 15 cm, the position of the image formed by reflection, first at the convex and then at the Concave mirror, is:
  A)
  \[19.09\]cm from the pole of the concave mirror
  done clear
  B)
  \[19.09\]cm from the pole of the convex mirror
  done clear
  C)
  \[11.09\]cm from the pole of the concave mirror
  done clear
  D)
  \[11.09\] cm from the pole of the convex mirror
  done clear
  View Answer play_arrow

• question_answer24)
  Five identical plates each of area A are joined as shown in the figure. The distance between the plates is d. The plates are connected to a potential difference of volts. The charge on plates 1 and 4 will be
  A)
  \[\frac{{{\varepsilon }_{0}}AV}{d}.\frac{{{\varepsilon }_{0}}AV}{d}\]               
  done clear
  B)
  \[\frac{{{\varepsilon }_{0}}AV}{d}.\frac{2{{\varepsilon }_{0}}AV}{d}\]
  done clear
  C)
  \[\frac{{{\varepsilon }_{0}}AV}{d}.\frac{-2{{\varepsilon }_{0}}AV}{d}\]
  done clear
  D)
  \[\frac{-{{\varepsilon }_{0}}AV}{d}.\frac{-2{{\varepsilon }_{0}}AV}{d}\]
  done clear
  View Answer play_arrow

• question_answer25)
  Ionization potential of hydrogen atom is \[13.6V\], Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy\[12.1\text{ }\operatorname{eV}\]. The spectral lines emitted by hydrogen atoms according to Bohr's theory will be
  A)
  One                             
  done clear
  B)
  two
  done clear
  C)
  Three   
  done clear
  D)
  four
  done clear
  View Answer play_arrow

• question_answer26)
  A bar magnet of dipole moment \[1 A-{{m}^{2}}\]and moment of inertia \[{{10}^{-5}}kg-{{m}^{2}}\]when suspended freely has a time period of \[\sqrt{10}s\] at a certain place. Then the earth's magnetic field at that place if angle of dip is \[60{}^\circ \] will be (Take \[{{\pi }^{2}}= 10\])
  A)
  \[0.2\times {{10}^{-4}}\operatorname{tesla}\]   
  done clear
  B)
  \[0.4\times {{10}^{-4}}\operatorname{tesla}\]
  done clear
  C)
  \[0.6\times {{10}^{-4}}\operatorname{tesla}\]   
  done clear
  D)
  \[0.8\times {{10}^{-4}}\operatorname{tesla}\]
  done clear
  View Answer play_arrow

• question_answer27)
  A cylindrical vessel of cross-section A contains water to a height h. There is a hole in the bottom of radius 'a'. The time in which it will be emptied is:
  A)
  \[\frac{2A}{\pi {{a}^{2}}}\sqrt{\frac{h}{g}}\]              
  done clear
  B)
  \[\frac{\sqrt{2}A}{\pi {{a}^{2}}}\sqrt{\frac{h}{g}}\]
  done clear
  C)
  \[\frac{2\sqrt{2}A}{\pi {{a}^{2}}}\sqrt{\frac{h}{g}}\]               
  done clear
  D)
  \[\frac{A}{\sqrt{2}\pi {{a}^{2}}}\sqrt{\frac{h}{g}}\]
  done clear
  View Answer play_arrow

• question_answer28)
  An asteroid of mass m is approaching earth initially at a distance of \[10{{R}_{e}}\] with speed \[{{v}_{i}}.\] It hits the earth with a speed \[{{v}_{f}}\](\[{{R}_{e}}\] and \[{{M}_{e}}\]are radius and mass of earth), then
  A)
  \[v_{f}^{2}=v_{i}^{2}+\frac{2Gm}{{{M}_{e}}R}\left( 1-\frac{1}{10} \right)\]
  done clear
  B)
  \[v_{f}^{2}=v_{i}^{2}+\frac{2G{{M}_{e}}}{{{R}_{e}}}\left( 1+\frac{1}{10} \right)\]
  done clear
  C)
  \[v_{f}^{2}=v_{i}^{2}+\frac{2G{{M}_{e}}}{{{R}_{e}}}\left( 1-\frac{1}{10} \right)\]
  done clear
  D)
  \[v_{f}^{2}=v_{i}^{2}+\frac{2Gm}{{{R}_{e}}}\left( 1-\frac{1}{10} \right)\]
  done clear
  View Answer play_arrow

• question_answer29)
  Two Polaroid?s are placed in the path of unpolarized beam of intensity \[{{I}_{0}}\] such that no light is emitted from the second Polaroid. If a third polaroid whose polarization axis makes an angle \[\theta \] with the polarization axis of first polaroid, is placed between these polaroid then the  intensity of light emerging from the last polaroid will be                                   
  A)
  \[\left( \frac{{{I}_{0}}}{8} \right){{\sin }^{2}}2\theta \] 
  done clear
  B)
  \[\left( \frac{{{I}_{0}}}{4} \right){{\sin }^{2}}2\theta \]
  done clear
  C)
  \[\left( \frac{{{I}_{0}}}{2} \right){{\cos }^{4}}\theta \]              
  done clear
  D)
  \[{{I}_{0}}{{\cos }^{4}}\theta \]
  done clear
  View Answer play_arrow

• question_answer30)
  An infinite cylinder of radius r with surface charge density \[\sigma \] is rotated about its central axis with angular speed co. Then the magnetic field at  any point inside the cylinder is
  A)
  \[{{\mu }_{0}}\sigma \omega {{r}^{2}}\]                     
  done clear
  B)
  \[\frac{{{\mu }_{0}}\omega r}{\sigma }\]
  done clear
  C)
  \[{{\mu }_{0}}\sigma \omega r\]
  done clear
  D)
  \[{{\mu }_{0}}\sigma {{\omega }^{2}}r\]
  done clear
  View Answer play_arrow

• question_answer31)
  A 2 kg cylinder rests on a cart as shown in the figure. The coefficient of static friction between the cylinder and the cart is \[0.5.\] The cylinder is 4 cm in diameter and 10 cm in height. The minimum acceleration of the cart needed to make the cylinder tip over is about:
  A)
  \[2m/{{s}^{2}}\]                     
  done clear
  B)
  \[4m/{{s}^{2}}\]
  done clear
  C)
  \[6m/{{s}^{2}}\]                     
  done clear
  D)
  \[8m/{{s}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer32)
  A conducting rod of mass in and \[\ell \] is placed on a smooth horizontal surface in a region where transverse uniform magnetic field B exists in the region.\[\operatorname{At}\,t= 0\], constant force F starts acting on the rod at its mid-point as shown. Potential difference between ends of the rod, \[{{V}_{P}}-\text{ }{{\text{V}}_{Q}}\]at any time \[t\] is
  A)
  \[\frac{BF\ell t}{2m}\]               
  done clear
  B)
  \[\frac{BF\ell t}{4m}\]
  done clear
  C)
  \[\frac{5BF\ell t}{8m}\]              
  done clear
  D)
  \[\frac{7BF\ell t}{8m}\]
  done clear
  View Answer play_arrow

• question_answer33)
  A glass sinker has a mass \[M\]in air. When weighed in a liquid at temperature \[{{t}_{1}},\] the apparent mass is \[{{M}_{1}}\] and when weighed in the same liquid at temperature \[{{t}_{2}}\], the apparent mass is \[{{M}_{2}}\]. If the coefficient of cubical expansion of the glass is \[{{\gamma }_{g}},\] then the real coefficient of expansion of the liquid is:
  A)
  \[{{\gamma }_{g}}+\left( \frac{{{M}_{2}}-{{M}_{1}}}{M-{{M}_{2}}} \right).\frac{1}{\left( {{t}_{2}}-{{t}_{1}} \right)}\]
  done clear
  B)
  \[{{\gamma }_{g}}-\left( \frac{{{M}_{2}}-{{M}_{1}}}{M-{{M}_{2}}} \right).\frac{1}{\left( {{t}_{2}}-{{t}_{1}} \right)}\]
  done clear
  C)
  \[{{\gamma }_{g}}-\left( \frac{M-{{M}_{2}}}{{{M}_{2}}-{{M}_{1}}} \right).\frac{1}{\left( {{t}_{2}}-{{t}_{1}} \right)}\]
  done clear
  D)
  \[{{\gamma }_{g}}+\left( \frac{{{M}_{2}}-{{M}_{1}}}{{{M}_{2}}+{{M}_{1}}} \right).\frac{1}{\left( {{t}_{2}}-{{t}_{1}} \right)}\]
  done clear
  View Answer play_arrow

• question_answer34)
  A radioactive material decays by simultaneous emission of two particles with respective half-lives 1620 and 810 years. The time (in years) after which one-fourth of the material remains is
  A)
  1080                
  done clear
  B)
  2430
  done clear
  C)
  3240                            
  done clear
  D)
  4860
  done clear
  View Answer play_arrow

• question_answer35)
  Calculate the rate of loss of heat through a glass window of area \[1000{{\operatorname{cm}}^{2}}\]and thickness 0.4 cm when temperature inside is \[37{}^\circ C\] and outside is \[-5{}^\circ C.\]Coefficient of thermal conductivity of glass is \[2.2\times {{10}^{-3}}cal\,{{s}^{-1}}c{{m}^{-1}}{{K}^{-1}}.\]
  A)
  \[450cal\,s-1\]                
  done clear
  B)
  \[231cals-1\]
  done clear
  C)
  \[439cal\,s-1\]                
  done clear
  D)
  \[650cal\,s-1\]
  done clear
  View Answer play_arrow

• question_answer36)
  Heat is flowing steadily from A to B temperature T at P, at distance x from A is such that                
  A)
  T Decreases linearly with x
  done clear
  B)
  T Increases linearly with x
  done clear
  C)
  T Decreases exponentially with x
  done clear
  D)
  T increases with \[x\]as \[T\propto {{x}^{2}}\]
  done clear
  View Answer play_arrow

• question_answer37)
    From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is:
  A)
  \[\frac{ch}{2\pi \varepsilon _{0}^{2}}\]
  done clear
  B)
  \[\frac{{{e}^{2}}}{2\pi {{\varepsilon }_{0}}Gm_{e}^{2}}\left( {{\operatorname{m}}_{e}}=\,mass\,of\,electron \right)\]
  done clear
  C)
  \[\frac{{{\mu }_{0}}{{\varepsilon }_{0}}}{{{c}^{2}}}\frac{G}{h{{e}^{2}}}\]
  done clear
  D)
  \[\frac{2\pi \sqrt{{{\mu }_{0}}{{\varepsilon }_{0}}}}{c{{e}^{2}}}\frac{h}{G}\]
  done clear
  View Answer play_arrow

• question_answer38)
  On a hypotenuse of a right prism \[(30{}^\circ -60{}^\circ -90{}^\circ )\] of refractive index \[1.50,\] a drop of liquid is placed as shown in figure. Light is allowed to fall normally on the short face of the prism. In order that the ray of light may get totally reflected, the maximum value of refractive index is:
  A)
  1.30                             
  done clear
  B)
  1.47
  done clear
  C)
  1.20                             
  done clear
  D)
  1.25
  done clear
  View Answer play_arrow

• question_answer39)
  The voltage drop across a forward biased diode is 0.7 volt. In the following circuit, the voltages across the 10 ohm resistance in series with the Diode and 20 ohm resistance are:
  A)
  \[0.70\operatorname{V},4.28\operatorname{V}\]  
  done clear
  B)
  \[3.58\operatorname{V},4.28\operatorname{V}\]
  done clear
  C)
  \[5.35\operatorname{V},2.14\operatorname{V}\]  
  done clear
  D)
  \[3.58\operatorname{V},9.3\operatorname{V}\]
  done clear
  View Answer play_arrow

• question_answer40)
  A gas is a mixture of two parts by volume of hydrogen and one part by volume of nitrogen. If the velocity of sound in hydrogen at \[0{}^\circ C\]is \[1300m/s\] then the velocity of sound in the gaseous mixture at \[27{}^\circ \operatorname{C}\]will be
  A)
  \[951m/sec\]                  
  done clear
  B)
  \[159m/sec\]
  done clear
  C)
  \[591m/sec\]      
  done clear
  D)
  \[519m/sec\]
  done clear
  View Answer play_arrow

• question_answer41)
  In the compound \[C{{H}_{2}}=CH-C{{H}_{2}}-C{{H}_{2}}-C\equiv C{{H}_{4}}\] the \[{{C}_{2}}-{{C}_{3}}\]bond is of                         
  A)
  \[sp-s{{p}^{2}}\]                     
  done clear
  B)
  \[s{{p}^{3}}-s{{p}^{3}}\]
  done clear
  C)
  \[sp-s{{p}^{3}}\]                     
  done clear
  D)
  \[s{{p}^{2}}-s{{p}^{3}}\]
  done clear
  View Answer play_arrow

• question_answer42)
  When hydrochloric acid gas is treated with propene in the presence of benzoyl peroxide, it gives
  A)
  2-chloropropane
  done clear
  B)
  allyl chloride      
  done clear
  C)
  n-propyl chloride
  done clear
  D)
  isopropyl chloride
  done clear
  View Answer play_arrow

• question_answer43)
  Plots showing the variation of the rate constant (k) with temperature (T) are given below. The plot that follows Arrhenius equation is
  A)
     
  done clear
  B)
  
  done clear
  C)
     
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer44)
  For a linear plot of log \[(x/m)\] versus log p in a Freundlich adsorption isotherm, which of the following statements is correct? (k and n are constants)
  A)
  1/n appears as the intercept
  done clear
  B)
  Only 1/n appears as the slope
  done clear
  C)
  \[\log \left( \frac{1}{n} \right)\]appears as the intercept
  done clear
  D)
  [d] Both k and 1/n appear in the slope term
  done clear
  View Answer play_arrow

• question_answer45)
  A gaseous substance dissolves in water giving a pale blue solution which decolorises \[KMn{{O}_{4}}\]and oxidises \[KI\]to \[{{I}_{2}}.\]Gaseous substance is
  A)
  \[{{N}_{2}}{{O}_{5}}\]                      
  done clear
  B)
  \[N{{H}_{3}}\]
  done clear
  C)
  \[{{N}_{2}}{{O}_{3}}\]          
  done clear
  D)
  \[HN{{O}_{3}}\]
  done clear
  View Answer play_arrow

• question_answer46)
  The geometry of \[Ni\,{{(CO)}_{4}}\] and \[[Ni\,{{(PP{{h}_{3}})}_{2}}]\,C{{l}_{2}}\] are
  A)
  both square planar
  done clear
  B)
  tetrahedral and square planar respectively
  done clear
  C)
  both tetrahedral
  done clear
  D)
  square planar and tetrahedral respectively
  done clear
  View Answer play_arrow

• question_answer47)
  Given, \[E_{C{{r}^{3+}}/Cr}^{{}^\circ }=-0.74V;\] \[E_{MnO_{4}^{-}/M{{n}^{2+}}}^{{}^\circ }=1.51V\] \[E_{CrO_{7}^{2-}/C{{r}^{3+}}}^{{}^\circ }=1.33V;\] \[E_{Cl/C{{l}^{-}}}^{{}^\circ }=1.36V\] Based on the data given above strongest oxidizing agent will be
  A)
  \[Cl\]                            
  done clear
  B)
  \[C{{r}^{3+}}\]
  done clear
  C)
  \[M{{n}^{2+}}\]                    
  done clear
  D)
  \[MnO_{4}^{-}\]
  done clear
  View Answer play_arrow

• question_answer48)
  Consider the following compounds:  Basic nature of above compounds is in the order as:
  A)
  I > II > III        
  done clear
  B)
  I > II > III
  done clear
  C)
  II > III > I                    
  done clear
  D)
  III > II > I
  done clear
  View Answer play_arrow

• question_answer49)
  Element A burns in nitrogen to give an ionic compound B. Compound B reacts with water to give C and D. A solution of C becomes 'milky' on bubbling carbon dioxide. The element A is
  A)
  \[Na\]                           
  done clear
  B)
  \[Mg\]
  done clear
  C)
  \[Ca\]               
  done clear
  D)
  \[Be\]
  done clear
  View Answer play_arrow

• question_answer50)
  Iron oxide crystallises in a hexagonal close-packed array of oxide ions with two out of every three octahedral holes occupied by iron ions. Derive the formula of the iron oxide.
  A)
  \[FeO\]             
  done clear
  B)
  \[F{{e}_{2}}{{O}_{3}}\]
  done clear
  C)
  \[F{{e}_{3}}{{O}_{4}}\]                     
  done clear
  D)
  All are possible
  done clear
  View Answer play_arrow

• question_answer51)
  If at 298 K the bond energies of \[C-H,C-C,C=C\] and \[H-H\] bonds are respectively 414, 347, 615 and \[435\,kJ\,mo{{l}^{-1}},\] the value of enthalpy change for the reaction, at 298 K will be
  A)
  \[+\,250\,kJ\]                
  done clear
  B)
  \[-\,250\,kJ\]
  done clear
  C)
  \[+\,125\,kJ\]                
  done clear
  D)
  \[-\,125\,kJ\]
  done clear
  View Answer play_arrow

• question_answer52)
  The oxidation state of chromium in the final product formed by the reaction between KI and acidified potassium dichromate solution is            
  A)
  \[+3\]               
  done clear
  B)
  \[+2\]
  done clear
  C)
  \[+6\]                           
  done clear
  D)
  \[+4\]
  done clear
  View Answer play_arrow

• question_answer53)
  Phenol is treated with excess bromine water and shaken well. The white precipitate formed during the process is
  A)
                      
  done clear
  B)
  
  done clear
  C)
     
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer54)
  The correct representation of \[p\pi -d\pi \]bonding is
  A)
  
  done clear
  B)
  
  done clear
  C)
           
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer55)
  2-hexyne gives trans 2-hexene on treatment with
  A)
  \[Pt/{{H}_{2}}\]                       
  done clear
  B)
  \[Li/N{{H}_{3}}\]
  done clear
  C)
  \[Pd/BaS{{O}_{4}}\]                
  done clear
  D)
  \[LiAl{{H}_{4}}\]
  done clear
  View Answer play_arrow

• question_answer56)
  In which of the following polymers ethylene glycol is one of the monomer units?
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer57)
  \[^{23}Na\]is the more stable isotope of \[Na\]. Find out the process by which \[_{^{11}}^{24}Na\] can undergo radioactive decay
  A)
  \[{{\beta }^{-}}\]-emission    
  done clear
  B)
  \[\alpha \]-emission
  done clear
  C)
  \[{{\beta }^{+}}\]-emission                  
  done clear
  D)
  K-electron capture
  done clear
  View Answer play_arrow

• question_answer58)
  The reduction,  can be achieved by using
  A)
  \[NaB{{H}_{4}}\]        
  done clear
  B)
  \[LiAl{{H}_{4}}\]
  done clear
  C)
  \[CuO\cdot CuC{{N}_{2}}{{O}_{4}}\]  
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer59)
  Which of the following compounds is formed when glucose react with \[B{{r}_{2}}\]water at \[pH5\text{-}6?\]
  A)
  Glucaric acid                 
  done clear
  B)
  Saccharic acid
  done clear
  C)
  Gluconic acid    
  done clear
  D)
  Acetic acid
  done clear
  View Answer play_arrow

• question_answer60)
  Which of the following are sets of diamagnetic species?
  A)
  \[TiC{{l}_{4}},{{[Ni{{({{H}_{2}}O)}_{4}}]}^{2+}}\]
  done clear
  B)
  \[TiC{{l}_{4}},{{O}_{2}}\]
  done clear
  C)
  \[TiC{{l}_{4}},{{[Ni{{(CN)}_{4}}]}^{2-}}\]
  done clear
  D)
  \[{{[Ni{{(CN)}_{4}}]}^{2-}}{{[Ni{{({{H}_{2}}O)}_{4}}]}^{2+}}\]
  done clear
  View Answer play_arrow

• question_answer61)
  Which of the following is true for nucleolus?
  A)
  It takes part in spindle formation
  done clear
  B)
  It is a membrane-bound structure
  done clear
  C)
  Larger nucleoli are present in dividing cells
  done clear
  D)
  It is a site for active ribosomal RNA synthesis     
  done clear
  View Answer play_arrow

• question_answer62)
  Stomatal movement is not affected by
  A)
  02 concentration
  done clear
  B)
  Light
  done clear
  C)
  Temperature                  
  done clear
  D)
  \[C{{O}_{2}}\]concentration
  done clear
  View Answer play_arrow

• question_answer63)
  The stage during which separation of the paired homologous chromosomes begins is:
  A)
  Diakinesis                      
  done clear
  B)
  Diplotene
  done clear
  C)
  Pachytene                     
  done clear
  D)
  Zymogene
  done clear
  View Answer play_arrow

• question_answer64)
  Stomata in grass leaf are:
  A)
  Rectangular                   
  done clear
  B)
  Kidney shaped
  done clear
  C)
  Dumb-bell shaped  
  done clear
  D)
  Barrel shaped
  done clear
  View Answer play_arrow

• question_answer65)
  Secondary xylem and phloem in dicot stem are produced by:
  A)
  Phellogen                      
  done clear
  B)
  Vascular cambium
  done clear
  C)
  Apical meristems            
  done clear
  D)
  Axillary meristems
  done clear
  View Answer play_arrow

• question_answer66)
  Pneumatophores occur in:
  A)
  Carnivorous plants
  done clear
  B)
  Free-floating hydrophytes
  done clear
  C)
  Halophytes
  done clear
  D)
  Submerged hydrophytes
  done clear
  View Answer play_arrow

• question_answer67)
  Casparian strips occur in:
  A)
  Cortex              
  done clear
  B)
  Pericycle
  done clear
  C)
  Epidermis                      
  done clear
  D)
  Endodermis
  done clear
  View Answer play_arrow

• question_answer68)
  Plants having little or no secondary growth are:
  A)
  Conifers           
  done clear
  B)
  Deciduous angiosperms
  done clear
  C)
  Grasses           
  done clear
  D)
  Cycads
  done clear
  View Answer play_arrow

• question_answer69)
  Sweet potato is a modified:
  A)
  Tap root                       
  done clear
  B)
  Adventitious root
  done clear
  C)
  Stem                            
  done clear
  D)
  Rhizome
  done clear
  View Answer play_arrow

• question_answer70)
  Which of the following statements is correct?
  A)
  Horsetails are gymnosperms
  done clear
  B)
  Selaginella is heterosporous, while Salvinia is homosporous
  done clear
  C)
  Ovules are not enclosed by ovary wall gymnosp'erms
  done clear
  D)
  [d] Stems are usually unbranched in both Cycas an. Cedrus
  done clear
  View Answer play_arrow

• question_answer71)
  Select the wrong statement:
  A)
  Pseudopodia are locomotory and feeding structure in Sporozoans
  done clear
  B)
  Mushrooms belong to Basidiomycetes
  done clear
  C)
  Cell wall is present in members, of Fungi an; Plantae
  done clear
  D)
  Mitochondria are the powerhouse of the cell in al kingdoms except Monera
  done clear
  View Answer play_arrow

• question_answer72)
  After karyogamy followed by meiosis, spores are produced exogenously in:
  A)
  Agaricus
  done clear
  B)
  Alternaria
  done clear
  C)
  Neurospora                   
  done clear
  D)
  Saccharomyces
  done clear
  View Answer play_arrow

• question_answer73)
  Match the items given in Column-I with those i: Column-II and select the correct option given below:

  	Column-I		Column-II
  a	Herbarium	i	It is a place having a collection of preserved plants and animals
  b	Key	ii	A list that enumerates metho-dically all the species found in an area with brief description aiding identification
  c	Museum	iii	Is a place where dried and pressed plant specimens mounted  on sheets are kept
  d	Catalogue	iv	A booklet containing a list of characters and their alternates which are helpful in identification of various taxa.

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

• question_answer74)
  Winged pollen grains are present in:
  A)
  Mango              
  done clear
  B)
  Cycas
  done clear
  C)
  Mustard            
  done clear
  D)
  Pinus
  done clear
  View Answer play_arrow

• question_answer75)
  Which one is wrongly matched?.
  A)

  Gemma cup

  -

  Marchantia

  done clear
  B)

  Bifalagellate Zoopsores

  -

  Brown algae

  done clear
  C)

  Uniflagellate gametes

  -

  Polysiphonia

  done clear
  D)

  Unicelluar organism

  -

  Chlorella

  done clear
  View Answer play_arrow

• question_answer76)
  Which of following options correctly represents the lung conditions in asthma emphyema, respectively?
  A)
  Increased respiratory surface; Inflammation of bronchioles
  done clear
  B)
  Increased number of bronchioles; Increased respiratory surface
  done clear
  C)
  Inflammation of bronchioles; Decreased respiratory surface
  done clear
  D)
  Decreased respiratory surface; Inflammation of bronchioles
  done clear
  View Answer play_arrow

• question_answer77)
  Match the items given in Column-I with those in Column-II and select the correct option given below:

  	Column-I		Column-II
  a	Tricuspid valve	-	Between left atrium and left ventricle
  b	Bicuspid valve	-	Between right ventricle and pulmonary artery
  c	Semilunar valve	-	Between right atrium and right ventricle

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

• question_answer78)
  Match the items given in Column-I with those in Column-II and select the correct option given below:

  	Column-I		Column-II
  a	Tidal volume	-	2500 - 3000 mL
  b	Inspiratory Reserve volume	-	1100 - 1200 mL
  c	Expiratory Reserve volume	-	500 - 550 mL
  d	Residual volume	-	1000 - 1100 mL

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

• question_answer79)
  The transparent lens in the human eye is held in its place by:
  A)
  smooth muscles attached to the iris
  done clear
  B)
  ligaments attached to the iris
  done clear
  C)
  ligaments attached to the ciliary body
  done clear
  D)
  smooth muscles attached to the ciliary body
  done clear
  View Answer play_arrow

• question_answer80)
  Which of the following is an amino acid derived hormone ?
  A)
  Estradiol                       
  done clear
  B)
  Ecdysone
  done clear
  C)
  Epinephrine                   
  done clear
  D)
  Estriol
  done clear
  View Answer play_arrow

• question_answer81)
  If \[x=\frac{4\lambda }{1+{{\lambda }^{2}}}\] and \[y=\frac{2-2{{\lambda }^{2}}}{1+{{\lambda }^{2}}}\] where a is a real parameter and \[{{x}^{2}}-xy+{{y}^{2}}\] lies between [a, b] then (a + b) is-
  A)
  8
  done clear
  B)
  10  
  done clear
  C)
  13                                
  done clear
  D)
  25
  done clear
  View Answer play_arrow

• question_answer82)
  If the shaded portion represents the set of complex numbers then which of the following set of complex numbers satisfy the inequality \[{{\tan }^{-1}}({{\log }_{3}}\left| 2z-1 \right|>{{\tan }^{-1}}(\log 3\left| 2z+1 \right|)\]
  A)
            
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer83)
  The tangent at a point whose eccentric angle \[60{}^\circ \] on the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\,\,(a>b)\] meet the auxiliary circle at L and M. If LM subtends a right angle at the centre, then eccentricity of the ellipse is-
  A)
  \[\frac{1}{\sqrt{7}}\]                             
  done clear
  B)
  \[\frac{2}{\sqrt{7}}\]
  done clear
  C)
  \[\frac{3}{\sqrt{7}}\]                             
  done clear
  D)
  \[\frac{1}{2}\]
  done clear
  View Answer play_arrow

• question_answer84)
  Let \[f(x)=\underset{n\to \infty }{\mathop{lim}}\,\,\,{{n}^{2}}\left( {{x}^{\frac{1}{n}}}-{{x}^{\frac{1}{n+1}}} \right);x>0,\] then
  A)
  \[\frac{{{x}^{2}}}{2}\ell n\,\,x+c\]                  
  done clear
  B)
  \[-\frac{{{x}^{2}}}{4}\ell n\,\,x+\frac{{{x}^{2}}}{2}+c\]
  done clear
  C)
  \[\frac{{{x}^{2}}}{2}\ell n\,\,x+\frac{{{x}^{2}}}{4}+c\]       
  done clear
  D)
  \[\frac{{{x}^{2}}}{2}\ell n\,\,x-\frac{{{x}^{2}}}{4}+c\]
  done clear
  View Answer play_arrow

• question_answer85)
  (a, b) and (c, d) are solutions of simultaneous equation \[5\left( lo{{g}_{y}}x\text{ }+\text{ }lo{{g}_{x}}y \right)=26,\] \[xy=64\] then \[a+b+c+d=\]
  A)
  61                                
  done clear
  B)
  17   
  done clear
  C)
  68        
  done clear
  D)
  34
  done clear
  View Answer play_arrow

• question_answer86)
  \[\underset{n\to \infty }{\mathop{\lim }}\,{{\left( {{\left( \frac{n}{n+1} \right)}^{a}}+\sin \frac{1}{n} \right)}^{n}}\,\,(a\in Q)\]  is equal to
  A)
  \[{{e}^{\alpha }}\]                              
  done clear
  B)
  \[-\alpha \]  
  done clear
  C)
  \[{{e}^{1}}^{-\alpha }\]                     
  done clear
  D)
  \[{{e}^{1}}^{+\alpha }\]
  done clear
  View Answer play_arrow

• question_answer87)
  If \[\alpha =\underset{n\to \infty }{\mathop{\lim }}\,\left( \frac{1}{{{n}^{3}}+1}+\frac{4}{{{n}^{3}}+1}+......+\frac{{{n}^{2}}}{{{n}^{3}}+1} \right)\] and \[\beta =\underset{n\to \infty }{\mathop{\lim }}\,\,\frac{\sin 2x}{\sin 8x}\] then the quadratic equation whose roots are \[\alpha ,\]\[\beta \] is
  A)
  \[12{{x}^{2}}-7x+1=0\]
  done clear
  B)
  \[{{x}^{2}}+19x-120=0\]
  done clear
  C)
  \[{{x}^{2}}17x+60=0\]                        
  done clear
  D)
  \[{{x}^{2}}-7x+12=0\]
  done clear
  View Answer play_arrow

• question_answer88)
  A function \[y\text{ }=\text{ }f(x)\] satisfies the condition \[f'(x)\,\,sin\,x+f\,(x)\,\,\cos \,x=1,\,\,f(x)\] being bounded when \[x\to 0.\] If \[I=\int\limits_{0}^{\pi /2}{f(x)dx,}\] then
  A)
  \[\frac{\pi }{2}<I<\frac{{{\pi }^{2}}}{4}\]      
  done clear
  B)
  \[\frac{\pi }{4}<I<\frac{{{\pi }^{2}}}{2}\]
  done clear
  C)
  \[1<I<\frac{\pi }{2}\]               
  done clear
  D)
  \[0<I<1\]
  done clear
  View Answer play_arrow

• question_answer89)
  If min. \[\{{{x}^{2}}(a-b)\,x+1-a-b\}>\] max. \[\{-\,{{x}^{2}}+(a+b)\,x-\text{(1}\,\text{+}\,\text{a}\,\text{+}\,\text{b) }\!\!\}\!\!\text{ }\] then -
  A)
  \[{{a}^{2}}+{{b}^{2}}<2\]             
  done clear
  B)
  \[{{a}^{2}}+{{b}^{2}}<4\]
  done clear
  C)
  \[{{a}^{2}}+{{b}^{2}}>4\]             
  done clear
  D)
  \[a+b>ab\]
  done clear
  View Answer play_arrow

• question_answer90)
  If the sum \[\sum\limits_{k=1}^{\infty }{\,\frac{1}{(k+2)\sqrt{k}+\sqrt{k+2}}=\frac{\sqrt{a}+\sqrt{b}}{\sqrt{c}}}\] \[a,b,c\text{ }\in \text{ }N\] and lie in [1, 15], then \[a\text{ }+\text{ }b\text{ }+\text{ }c\] equals to-
  A)
  6                                 
  done clear
  B)
  8    
  done clear
  C)
  10                                
  done clear
  D)
  11
  done clear
  View Answer play_arrow

• question_answer91)
  A musician using an open flute of length 50 cm produces second harmonic sound waves. A person runs towards the musician from another end of a hall at a speed of 10 km/h. If the wave speed is \[330 m/s,\] the frequency heard by the running person shall be close to:
  A)
  \[666 Hz\]         
  done clear
  B)
  \[753 Hz\]
  done clear
  C)
  \[500 Hz\]                     
  done clear
  D)
  \[333 Hz\]
  done clear
  View Answer play_arrow

• question_answer92)
  You may have seen in a circus a motorcyclist driving in vertical loops inside a 'death well' (a hollow spherical chamber with holes, so the spectators can watch from outside). What is the minimum speed required at the uppermost position of motorcyclist to perform a vertical loop, if the radius of the chamber is 25 m?
  A)
  \[15.65 m/s\]     
  done clear
  B)
  \[12.48 m/s\]
  done clear
  C)
  \[14.56m/s\]                  
  done clear
  D)
  \[18.48m/s\]
  done clear
  View Answer play_arrow

• question_answer93)
  A capacitor is initially connected to a battery of \[emf3\operatorname{V}.\text{ At}\,t\text{ }=\text{ }0\], switch is thrown to 5 state. Now charge on capacitor at any instant is given by
  A)
  \[q=C\left( V+2V\,\,\frac{-t}{{{e}^{RC}}} \right)\]        
  done clear
  B)
  \[q=C\left( V-2V\,\frac{-t}{{{e}^{RC}}} \right)\]
  done clear
  C)
  \[q=C\left( V-2V\,\frac{-t}{{{e}^{2RC}}} \right)\]
  done clear
  D)
  \[q=C\left( V+2V\,\frac{-2t}{{{e}^{RC}}} \right)\]
  done clear
  View Answer play_arrow

• question_answer94)
  A diatomic molecule is made of two masses \[{{m}_{1}}\] and \[{{m}_{2}}\] which are separated by a distance r. If we calculate its rotational energy by applying Bohr's rule of angular momentum quantization, Its energy will be given by: (\[n\] is an integer)
  A)
  \[\frac{{{({{m}_{1}}+{{m}_{2}})}^{2}}{{n}^{2}}{{h}^{2}}}{2m_{1}^{2}m_{2}^{2}{{r}^{2}}}\]       
  done clear
  B)
  \[\frac{{{n}^{2}}{{h}^{2}}}{2({{m}_{1}}+{{m}_{2}}){{r}^{2}}}\]
  done clear
  C)
  \[\frac{2{{n}^{2}}{{h}^{2}}}{({{m}_{1}}+{{m}_{2}}){{r}^{2}}}\]                       
  done clear
  D)
  \[\frac{({{m}_{1}}+{{m}_{2}}){{n}^{2}}{{h}^{2}}}{2{{m}_{1}}{{m}_{2}}{{r}^{2}}}\]
  done clear
  View Answer play_arrow

• question_answer95)
  Consider an AC circuit as shown in the figure above. If \[{{R}^{2}}=\frac{L}{C}\] which one of the following statements is correct?            
  A)
  Impedance is independent of frequency
  done clear
  B)
  Impedance is dependent of frequency
  done clear
  C)
  Impedance is the resistance only
  done clear
  D)
  None of the above
  done clear
  View Answer play_arrow

• question_answer96)
  In the experiment of calibration of voltmeter, a standard cell of e. m .f. 1.1 volt is balanced against \[440 cm\] of potential wire. The potential difference across the ends of resistance is found to balance against 220 cm of the wire. The corresponding reading of voltmeter is 0.5 volt. The error in the reading of voltmeter will be:
  A)
  \[-0. 15 volt\]                 
  done clear
  B)
  \[0.15 volt\]
  done clear
  C)
  \[0.5 volt\]                    
  done clear
  D)
  \[~-0.05\text{ }volt\]
  done clear
  View Answer play_arrow

• question_answer97)
  AB is a cylinder of length 1.0 m filled with a thin flexible diaphragm C (see figure) at the middle and two other thin flexible diaphrams A and B at the ends. The portions AC and BC contain hydrogen and oxygen gases respectively. The diaphrams A and B are set into vibrations of same frequency. What is the minimum frequency of these vibrations for which the diaphrams C is a node? Under the conditions of the experiment, the velocity of sound in hydrogen is \[1100 m/s\]and in oxygen is \[300 m/s.\]
  A)
  \[1650Hz\]        
  done clear
  B)
  \[1560Hz\]
  done clear
  C)
  \[650Hz\]                      
  done clear
  D)
  \[560Hz\]
  done clear
  View Answer play_arrow

• question_answer98)
  Graph shows a hypothetical speed distribution for a sample of \[N\]gas particle (for \[v>{{v}_{0;}}\]) \[\frac{dN}{dv}=0\] Then the Correct statement is/are 
  A)
  The value of \[a{{v}_{0}}\]is\[2N\]
  done clear
  B)
  The ratio \[v{{~}_{avg}}/{{v}_{0}}\]is equal to \[2/3~\]
  done clear
  C)
  The ratio \[{{v}_{rms}}/{{v}_{0}}\]is
  done clear
  D)
  All of the above      
  done clear
  View Answer play_arrow

• question_answer99)
  Figure shows a method for measuring the acceleration due to gravity. The ball is projected upward by a "gun". The ball passes the electronic "gates" 1 and 2 as it rises and again as it falls. Each gate is connected to a separate timer. The first passage of the ball through each gate starts the corresponding timer, and the second passage through the same gate stops the timer. The time intervals \[\Delta {{t}_{1}}\] and \[\Delta {{t}_{2}}\] are thus measured. The vertical distance between the two gates is d. If \[\operatorname{d}=5m.\Delta {{t}_{1}}=3s,\Delta {{t}_{2}}=2s,\] then find the measured value of acceleration due to gravity (in\[\operatorname{m}/{{s}^{2}}\]).
  A)
  \[8m{{s}^{-2}}\]         
  done clear
  B)
  \[4m{{s}^{-2}}\]
  done clear
  C)
  \[2m{{s}^{-2}}\]                     
  done clear
  D)
  \[1m{{s}^{-2}}\]
  done clear
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• question_answer100)
  A disc revolves with a speed of \[33\frac{1}{3}\] rev/min and has a radius of 15 cm. Two coins \[A\] and \[B\] are placed at 4 cm and 14 cm away from the Centre of the record respectively. If the coefficient of friction between the coins and the record is 0.15, which of the coins will revolve with the record?
  A)
  Coin A will revolve but B will not revolve
  done clear
  B)
  B will revolve but A will not revolve
  done clear
  C)
  None of the coins will revolve
  done clear
  D)
  Both coins will revolve 
  done clear
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• question_answer101)
  Calculate the mass of a non-volatile solute (molar mass \[40\,g\,mo{{l}^{-\,1}}),\] which should be dissolved in 114 g octane to reduce its vapour pressure to 80%.
  A)
  20 g     
  done clear
  B)
  10 g    
  done clear
  C)
  30 g                             
  done clear
  D)
  45 g
  done clear
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• question_answer102)
  Percentage of free space in cubic close packed structure and in body centred packed structure are respectively
  A)
  30% and 26%   
  done clear
  B)
  26% and 32%
  done clear
  C)
  32% and 48%   
  done clear
  D)
  48% and 26%
  done clear
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• question_answer103)
   A and B are
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  no formation of A and B takes place
  done clear
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• question_answer104)
  Which of the following will produce a buffer solution when mixed in equal volumes?
  A)
  \[0.1\,mol\,d{{m}^{-\,3}}N{{H}_{4}}OH\,\text{and}\,\text{0}\text{.1}\,mol\,d{{m}^{-\,3}}HCl\]
  done clear
  B)
  \[0.5\,mol\,d{{m}^{-\,3}}N{{H}_{4}}OH\,\text{and}\,\text{0}\text{.1}mol\,d{{m}^{-\,3}}HCl\]
  done clear
  C)
  \[0.1\,mol\,d{{m}^{-\,3}}N{{H}_{4}}OH\,\text{and}\,\text{0}\text{.5}\,mol\,d{{m}^{-\,3}}HCl\]
  done clear
  D)
  \[0.1\,mol\,d{{m}^{-\,3}}C{{H}_{3}}COONa\,\text{and}\,\text{0}\text{.1}\,mol\,d{{m}^{-\,3}}NaOH\]
  done clear
  View Answer play_arrow

• question_answer105)
  The bond dissociation energy of B-F in \[B{{F}_{3}}\]is \[646\,kJ\,mo{{l}^{-\,1}}\]. The correct reason For higher B-F bond dissociation energy as compared to that of C-F is
  A)
  smaller size of B-atom as compared to that of C-atom.
  done clear
  B)
  stronger or-bond between B and F in \[B{{F}_{3}}\] to that between C and F in \[C{{F}_{4}}.\]
  done clear
  C)
  significant \[p\pi -p\pi \] interaction between B and F in \[B{{F}_{3}}\]whereas there is no possibility of such interaction between C and F in \[C{{F}_{4}}.\]
  done clear
  D)
  lower degree of \[p\pi -p\pi \] interaction between B and F in \[B{{F}_{4}}\] than that between C and F in \[C{{F}_{4}}.\]
  done clear
  View Answer play_arrow

• question_answer106)
  Electrode potential for Mg electrode varies according to the equation
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer107)
  Identify the final product X.
  A)
  
  done clear
  B)
  
  done clear
  C)
  
  done clear
  D)
  
  done clear
  View Answer play_arrow

• question_answer108)
  A metal complex having composition \[Cr{{(N{{H}_{3}})}_{4}}C{{l}_{2}}Br\] has been isolated in two forms A and B. A reacts with\[AgN{{O}_{3}}\]producing a white precipitate which was soluble in dilute ammonia solution. B reacts with \[AgN{{O}_{3}}\] producing a pale yellow precipitate soluble in concentrated ammonia solution. The formulae of A and B are respectively
  A)
  \[[Cr\,{{(N{{H}_{3}})}_{4}}Br]\,C{{l}_{2}};[Cr\,(N{{H}_{3}})C{{l}_{2}}]\,Br\]
  done clear
  B)
  \[[Cr\,{{(N{{H}_{3}})}_{4}}BrCl]\,Cl;[Cr\,(N{{H}_{3}})C{{l}_{2}}Br]\,N{{H}_{3}}\]
  done clear
  C)
  \[[Cr\,{{(N{{H}_{3}})}_{4}}C{{l}_{2}}]Br;[Cr\,(N{{H}_{3}})\,BrCl]\,Cl\]
  done clear
  D)
  \[[Cr\,{{(N{{H}_{3}})}_{4}}BrCl]\,Cl;[Cr\,{{(N{{H}_{3}})}_{4}}C{{l}_{2}}]\,Br\]
  done clear
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• question_answer109)

  On reaction with Cig, phosphorus forms two types of halides A and B. Halide A is yellowish white powder, but halide B is colourless oily liquid. Which of the following is/are their hydrolysis products?
  (I) \[{{H}_{3}}P{{O}_{2}}\]	(II) \[{{H}_{3}}P{{O}_{3}}\]
  (III) \[{{H}_{3}}P{{O}_{4}}\]	(IV) \[{{H}_{3}}P{{O}_{4}}\]

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

• question_answer110)
  The major product of the following reaction is
  A)
                    
  done clear
  B)
  
  done clear
  C)
                              
  done clear
  D)
  
  done clear
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• question_answer111)
  Which of the following hormones can play a significant role in osteoporosis?
  A)
  Estrogen and Parathyroid hormone
  done clear
  B)
  Progesterone and Aldosterone
  done clear
  C)
  Aldosterone and Prolactin
  done clear
  D)
  Parathyroid hormone and Prolactin
  done clear
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• question_answer112)
  Which of the following structures or regions is incorrectly paired with its functions?
  A)

  Hypothalamus

  :

  Production of releasing hormones and regulation of temperature, hunger and thirst.

  done clear
  B)

  Limbic system

  :

  consists of fibre tracts that interconnect different regions of brain; controls movement.

  done clear
  C)

  Medulla oblongata

  :

  controls respiration and oblongata cardiovascular reflexes.

  done clear
  D)

  Corpus callosum

  :

  band of fibers connecting left and right cerebral hemispheres.

  done clear
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• question_answer113)
  The amnion of mammalian embryo is derived from
  A)
  mesoderm and trophoblast
  done clear
  B)
  endoderm and mesoderm
  done clear
  C)
  ectoderm and mesoderm
  done clear
  D)
  ectoderm and endoderm
  done clear
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• question_answer114)
  Hormones secreted by the placenta to maintain pregnancy are:
  A)
  hCG, hPL, progestogens, estrogens
  done clear
  B)
  hCG, hPL, estrogens, relaxin, oxytocin
  done clear
  C)
  hCG, hPL, progestogens, prolactin
  done clear
  D)
  hCG, progestogens, estrogens, glucocorticoids
  done clear
  View Answer play_arrow

• question_answer115)
  The difference between spermatogenesis and spermiation is :
  A)
  In spermiogenesis spermatozoa from sertoli cells are released into the cavity of seminiferous tubules, while in soermiation spermatozoa are formed.
  done clear
  B)
  In spermiogenesis spermatozoa are formed, in spermiation spermatids are formed.
  done clear
  C)
  In spermiogenesis spermatids are formed, while in spermiation spermatozoa are formed.
  done clear
  D)
  In spermiogenesis spermatozoa are formed, while in spermiation spermatozoa are released from sertoli cells into the cavity of seminiferous tubules
  done clear
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• question_answer116)
  The contraceptive 'SAHELI
  A)
  is an IUD.  
  done clear
  B)
  increases the concentration of estrogen and prevents ovulation in females.
  done clear
  C)
  blocks estrogen receptors in the uterus, preventin eggs from getting implanted.
  done clear
  D)
  is a post-coital contraceptive.
  done clear
  View Answer play_arrow

• question_answer117)
  Ciliates differ from all other protozoans in:
  A)
  using pseudopodia for capturing prey
  done clear
  B)
  having a contractile vacuole for removing exces water
  done clear
  C)
  using flagella for locomotion
  done clear
  D)
  having two types of nuclei
  done clear
  View Answer play_arrow

• question_answer118)
  Identify the vertebrate group of animals characterize by crop and gizzard in its digestive system:
  A)
  Aves                
  done clear
  B)
  Reptilia
  done clear
  C)
  Amphibia                      
  done clear
  D)
  Osteichthyes
  done clear
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• question_answer119)
  Which of the following features is used to identify male cockroach from a female cockroach?
  A)
  Forewings with darker tegmina
  done clear
  B)
  Presence of caudal styles
  done clear
  C)
  Presence of a boat shaped sternum on the abdominal segment
  done clear
  D)
  Presence of anal cerci
  done clear
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• question_answer120)
  Which one of these animals is not a homeothenrm?
  A)
  Camelus                       
  done clear
  B)
  Chelone
  done clear
  C)
  Macropus                      
  done clear
  D)
  Psittacula
  done clear
  View Answer play_arrow