Solved papers for JEE Main & Advanced AIEEE Paper (Held On 11 May 2011)

done AIEEE Paper (Held On 11 May 2011) Total Questions - 30

• question_answer1) At time t = 0 s a particle starts moving along the x-axis. If its kinetic energy increases uniformly with time 't', the net force acting on it must be proportional to:     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   constant           
  done clear
  B)
   t                   
  done clear
  C)
  \[\frac{1}{\sqrt{t}}\]
  done clear
  D)
  \[\sqrt{t}\]
  done clear
  View Answer play_arrow

• question_answer2) At two points P and Q on a screen in Young's double slit experiment, waves from slits \[{{S}_{1}}\] and \[{{S}_{2}}\] have a path difference of 0 and \[\frac{\lambda }{4}\]respectively. The ratio of intensities at P and Q will be:     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   \[2:1\]
  done clear
  B)
  \[\sqrt{2}:1\]
  done clear
  C)
  \[4:1\]
  done clear
  D)
  \[3:2\]
  done clear
  View Answer play_arrow

• question_answer3) Two particles of equal mass 'm' go around a circle of radius R under the action of their mutual gravitational attraction. The speed of each partial with respect to their centre of mass is:     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
  \[\sqrt{\frac{Gm}{4R}}\]
  done clear
  B)
  \[\sqrt{\frac{Gm}{3R}}\]
  done clear
  C)
  \[\sqrt{\frac{Gm}{2R}}\]
  done clear
  D)
  \[\sqrt{\frac{Gm}{R}}\]
  done clear
  View Answer play_arrow

• question_answer4) The minimum force required to start pushing a body up a rough (frictional coefficient \[\mu \]) inclined plane is \[{{F}_{1}}\] while the minimum force needed to prevent it from sliding down is \[{{F}_{2}}.\] If the inclined plane makes an angle \[\theta \]from the horizontal such that \[\tan \theta =2\mu \]then the ratio \[\frac{{{F}_{1}}}{{{F}_{2}}}\] is :                  AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   1
  done clear
  B)
   2
  done clear
  C)
   3
  done clear
  D)
   4
  done clear
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• question_answer5) If \[400\Omega \]of resistance is made by adding four \[100\Omega \] resistances of tolerance 5%, then the tolerance of the combination is:     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   5%                
  done clear
  B)
   10 %              
  done clear
  C)
   15 %              
  done clear
  D)
   20 %
  done clear
  View Answer play_arrow

• question_answer6) An electric charge +q moves with velocity \[\vec{v}=3\hat{i}+4\hat{j}+\hat{k},\]in an electromagnetic field given by: \[\vec{E}=3\hat{i}+\hat{j}+2\hat{k}\]and \[\vec{B}=\hat{i}+\hat{j}+3\hat{k}.\]The y - component of the force experienced by + q is :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   11q
  done clear
  B)
   5q
  done clear
  C)
   3q
  done clear
  D)
   2q
  done clear
  View Answer play_arrow

• question_answer7) The current in the primary circuit of a potentiometer is 0.2 A. The specific resistance and cross-section of the potentiometer wire are \[4\times {{10}^{-7}}\]ohm metre and \[8\times {{10}^{-7}}{{m}^{2}}\]respectively. The potential gradient will be equal to :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   1 V/ m        
  done clear
  B)
   0.5 V/m            
  done clear
  C)
   0.1 V/m            
  done clear
  D)
   0.2 V/m
  done clear
  View Answer play_arrow

• question_answer8) A particle of mass 'm' is projected with a velocity \[\upsilon \] making an angle of \[30{}^\circ \] with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height 'h' is :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   zero
  done clear
  B)
  \[\frac{m{{\upsilon }^{3}}}{\sqrt{2}g}\]
  done clear
  C)
  \[\frac{\sqrt{3}}{16}\frac{m{{\upsilon }^{3}}}{g}\]
  done clear
  D)
  \[\frac{\sqrt{3}}{2}\frac{m{{\upsilon }^{2}}}{g}\]
  done clear
  View Answer play_arrow

• question_answer9) The specific heat capacity of a metal at low temperature (T) is given as : \[{{C}_{p}}(kj{{K}^{-1}}k{{g}^{-1}})=32{{\left( \frac{T}{400} \right)}^{3}}\] A 100 gram vessel of this metal is to be cooled from \[20{}^\circ K\] to \[4{}^\circ K\] by a special refrigerator operating at room temperature \[\left( 27{}^\circ C \right)\]. The amount of work required to cool the vessel is :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   greater than 0.148 kJ                     
  done clear
  B)
   between 0.148 kJ and 0.028 kJ
  done clear
  C)
   less than 0.028 kJ                        
  done clear
  D)
   equal to 0.002 kJ
  done clear
  View Answer play_arrow

• question_answer10) A wooden cube (density of wood 'd') of side \['\ell '\] floats in a liquid of density\['\rho '\] with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs simple harmonic motion of period T'. Then, T is equal to :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
  \[2\pi \sqrt{\frac{\ell d}{\rho g}}\]
  done clear
  B)
  \[2\pi \sqrt{\frac{\ell \rho }{dg}}\]
  done clear
  C)
  \[2\pi \sqrt{\frac{\ell d}{(\rho -d)g}}\]
  done clear
  D)
  \[2\pi \sqrt{\frac{\ell \rho }{(\rho -d)g}}\]
  done clear
  View Answer play_arrow

• question_answer11) A container with insulating walls is divided into equal parts by a partition fitted with a valve. One part is filled with an ideal gas at a pressure P and temperature T, whereas the other part is completely evacuated. If the valve is suddenly opened, the pressure and temperature of the gas will be:     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
  \[\frac{P}{2},\frac{T}{2}\]
  done clear
  B)
  \[P,T\]
  done clear
  C)
  \[P,\frac{T}{2}\]
  done clear
  D)
  \[\frac{P}{2},T\]
  done clear
  View Answer play_arrow

• question_answer12) In a Young's double slit experiment, the two slits act as coherent sources of waves of equal amplitude A and wavelength \[\lambda .\] In another experiment with the same arrangement the two slits are made to act as incoherent sources of waves of same amplitude and wavelength. If the intensity at the middle point of the screen in the  first case is \[{{I}_{1}}\] and in the second case is \[{{I}_{2}},\] then the ratio \[\frac{{{I}_{1}}}{{{I}_{2}}}\]is:     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   2                                            
  done clear
  B)
   1
  done clear
  C)
   0.5
  done clear
  D)
   4
  done clear
  View Answer play_arrow

• question_answer13) The output of an OR gate is connected to both the inputs of a NAND gate. The combination will serve as a:     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   NOT gate        
  done clear
  B)
   NOR gate        
  done clear
  C)
   AND gate        
  done clear
  D)
   OR gate
  done clear
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• question_answer14) Two positive charges of magnitude 'q' are placed at the ends of a side (side 1) of a square of side '2a'. Two negative charges of the same magnitude are kept at the other corners. Starting from rest, if a charge Q moves from the middle of side 1 to the centre of square, its kinetic energy at the centre of square is :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   zero
  done clear
  B)
  \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2qQ}{a}\left( 1+\frac{1}{\sqrt{5}} \right)\]
  done clear
  C)
  \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2qQ}{a}\left( 1-\frac{2}{\sqrt{5}} \right)\]
  done clear
  D)
  \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2qQ}{a}\left( 1-\frac{1}{\sqrt{5}} \right)\]
  done clear
  View Answer play_arrow

• question_answer15) Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C - R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half is :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   10 second        
  done clear
  B)
   5 second         
  done clear
  C)
   2.5 second        
  done clear
  D)
   20 second
  done clear
  View Answer play_arrow

• question_answer16) A beaker contains water up to a height \[{{h}_{1}}\]and kerosene of height \[{{h}_{2}}\] above water so that the total height of (water + kerosene) is \[({{h}_{1}}+{{h}_{2}}).\]Refractive index of water is \[{{\mu }_{1}}\] and that of kerosene is \[{{\mu }_{2}}.\] The apparent shift in the position of the bottom of the beaker when viewed from above is :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
  \[\left( 1+\frac{1}{{{\mu }_{1}}} \right){{h}_{1}}-\left( 1+\frac{1}{{{\mu }_{2}}} \right){{h}_{2}}\]
  done clear
  B)
  \[\left( 1-\frac{1}{{{\mu }_{1}}} \right){{h}_{1}}+\left( 1-\frac{1}{{{\mu }_{2}}} \right){{h}_{2}}\]
  done clear
  C)
  \[\left( 1+\frac{1}{{{\mu }_{1}}} \right){{h}_{2}}-\left( 1+\frac{1}{{{\mu }_{2}}} \right){{h}_{1}}\]
  done clear
  D)
  \[\left( 1-\frac{1}{{{\mu }_{1}}} \right){{h}_{2}}+\left( 1-\frac{1}{{{\mu }_{2}}} \right){{h}_{1}}\]
  done clear
  View Answer play_arrow

• question_answer17) A metal rod of Young's modulus Y and coefficient of thermal expansion \[\alpha \] is held at its two ends such that its length remains invariant. If its temperature is raised by \[t{}^\circ C\], the linear stress developed in its is :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
  \[\frac{Y}{\alpha t}\]
  done clear
  B)
  \[Y\alpha t\]
  done clear
  C)
  \[\frac{1}{(Y\alpha t)}\]
  done clear
  D)
  \[\frac{\alpha t}{Y}\]
  done clear
  View Answer play_arrow

• question_answer18) A travelling wave represented by \[y=A\sin ((\omega t-kx)\]is superimposed on another wave represented by \[y=A\sin (\omega t+kx).\]The resultant is :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   A wave travelling along + x direction
  done clear
  B)
   A wave travelling along - x direction
  done clear
  C)
   A standing wave having nodes at \[x=\frac{n\lambda }{2},n=0,1,2\]?..
  done clear
  D)
   A standing wave having nodes at\[x=\left( n+\frac{1}{2} \right)\frac{\lambda }{2};n=0,1,2\]??
  done clear
  View Answer play_arrow

• question_answer19) A thin circular disk of radius R is uniformly charged with density \[\sigma >0\]per unit area. The disk rotates about its axis with a uniform angular speed \[\omega .\]The magnetic moment of the disk is :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
  \[\pi {{R}^{4}}\sigma \omega \]
  done clear
  B)
  \[\frac{\pi {{R}^{4}}}{2}\sigma \omega \]
  done clear
  C)
  \[\frac{\pi {{R}^{4}}}{4}\sigma \omega \]
  done clear
  D)
  \[2\pi {{R}^{4}}\sigma \omega \]
  done clear
  View Answer play_arrow

• question_answer20) An aluminium sphere of 20 cm diameter is heated from \[0{}^\circ C\] to \[100{}^\circ C\]. Its volume changes by (given that coefficient of linear expansion for aluminium \[{{\alpha }_{Al}}=23\times {{10}^{-6}}{{/}^{o}}C\])     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   2.89cc
  done clear
  B)
   9.28cc
  done clear
  C)
   49.8 cc
  done clear
  D)
   28.9 cc
  done clear
  View Answer play_arrow

• question_answer21) Two mercury drops (each of radius' r') merge to from bigger drop. The surface energy of the bigger drop, if T is the surface tension, is :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
  \[4\eta {{r}^{2}}T\]
  done clear
  B)
  \[2\eta {{r}^{2}}T\]
  done clear
  C)
  \[{{2}^{8/3}}\eta {{r}^{2}}T\]
  done clear
  D)
  \[{{2}^{5/3}}\eta {{r}^{2}}T\]
  done clear
  View Answer play_arrow

• question_answer22) If a ball of steel (density\[p=7.8\text{ }gc{{m}^{-3}}\]) attains a terminal velocity of \[10cm\,{{s}^{-1}}\]when falling in a water (Coefficient of Viscosity \[{{\eta }_{water}}=8.5\times {{10}^{-4}}Pa.s\]) then its terminal velocity in glycerine \[(p=1.2gc{{m}^{-3}},\eta =13.2Pa.s.)\] would be, nearly:     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
  \[6.25\times {{10}^{-4}}cm\,{{s}^{-1}}\]
  done clear
  B)
  \[6.45\times {{10}^{-4}}cm\,{{s}^{-1}}\]
  done clear
  C)
  \[1.5\times {{10}^{-5}}cm\,{{s}^{-1}}\]
  done clear
  D)
  \[1.6\times {{10}^{-5}}cm\,{{s}^{-1}}\]
  done clear
  View Answer play_arrow

• question_answer23) A horizontal straight wire 20 m long extanding from to east to west falling with a speed of 5.0 M\s, at right angles to the horizontal component of the earth's magnetic field \[0.30\times {{10}^{-4}}Wb/{{m}^{2}}.\]The instantaneous Value of the e.m. f. induced in the wire will be :     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   3 mV           
  done clear
  B)
   4.5 mV          
  done clear
  C)
   1.5 mV          
  done clear
  D)
   6.0m V
  done clear
  View Answer play_arrow

• question_answer24) After absorbring a slowly moving neutron of Mass \[{{m}_{N}}\] (momentum \[\approx 0\]) a nucleus of mass M breaks into two nuclei of masses \[{{m}_{1}}\] and \[5{{m}_{1}}\]\[(6{{m}_{1}}=M+{{m}_{N}})\] respectively. If the de Broglic wavelength of the nucleus with mass \[{{m}_{1}}\]is \[\lambda ,\] the de Broglie wavelength of the nucleus will be:     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
  \[5\lambda \]
  done clear
  B)
  \[\lambda /5\]
  done clear
  C)
  \[\lambda \]
  done clear
  D)
  \[25\lambda \]
  done clear
  View Answer play_arrow

• question_answer25) Which of the following four alternatives is not correct? We need modulation:     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   to reduce the time lag between transmission and reception of the information signal
  done clear
  B)
   to reduce the size of antenna
  done clear
  C)
   to reduce the e fractional band width, that is the ratio of the signal band width to the centre frequency
  done clear
  D)
   to increase the selectivity.
  done clear
  View Answer play_arrow

• question_answer26) If a spring of stiffness 'k' is cut into two parts 'A' and 'B' of length \[{{\ell }_{A}}:{{\ell }_{B}}=2:3,\]then the stiffness of spring 'A' is given by:     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
  \[\frac{3k}{5}\]
  done clear
  B)
  \[\frac{2k}{5}\]
  done clear
  C)
  \[k\]
  done clear
  D)
  \[\frac{5}{2k}\]
  done clear
  View Answer play_arrow

• question_answer27) Statement -1 : A nucleus having energy \[{{E}_{1}}\] decays by \[\text{ }\!\!\beta\!\!\text{ -}\]emission to daughter nucleus having energy \[{{E}_{2}},\] but the \[\text{ }\!\!\beta\!\!\text{ -}\]rays are emitted with a continuous energy spectrum having end point energy \[{{E}_{1}}-{{E}_{2}}.\] Statement - 2: To conserve energy and momentum in p-decay at least three particles must take part in the transformation.     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   Statement-1 is correct but statement-2 is not correct.
  done clear
  B)
   Statement-1 and Statement-2 both are correct and stateemnt-2 is the correct explanation of statement-1.
  done clear
  C)
   Statement-1 is correct, Statement-2 is correct and Statement-2 is not the correct explanation of Statement-1
  done clear
  D)
   Statement-1 is incorrect, Statement-2 is correct.
  done clear
  View Answer play_arrow

• question_answer28) When monochromatic red light is used instead of blue light in a convex lens, its focal length will:     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   increase                               
  done clear
  B)
   decrease
  done clear
  C)
   remain same                            
  done clear
  D)
   does not depend on colour of light
  done clear
  View Answer play_arrow

• question_answer29) Statement -1 : On viewing the clear blue portion of the sky through a Calcite Crystal, the intensity of transmitted light varies as the crystal is rotated. Statement - 2: The light coming from the sky is polarized due to scattering of sun light by particles in the atmosphere. The scattering is largest for blue light     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   Statement-1 is true, statement-2 is false.
  done clear
  B)
    Statement-1 is true, Statement-2 is true, Statement-2 is the correct explanation of statment-1
  done clear
  C)
   Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation of statement-1
  done clear
  D)
   Statement-1 is false, Statement-2 is true.
  done clear
  View Answer play_arrow

• question_answer30) Statement -1 : Two longitudinal waves given by equations : \[{{y}_{1}}(x,t)=2asin(\omega t-kx)\]and\[{{y}_{2}}(x,t)=a\,sin(2\omega t-2kx)\]will have equal intensity. Statement - 2: Intensity of waves of given frequency in same medium is proportional to square of amplitude only.     AIEEE  Solved  Paper (Held On 11 May  2011)
  A)
   Statement-1 is true, Statement-2 is false.
  done clear
  B)
   Statement-1 is true, Statement-2 is true, Statement-2 is the correct explanation of statment-1
  done clear
  C)
   Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation of Statement-1
  done clear
  D)
   Statement-1 is false, Statement-2 is true.
  done clear
  View Answer play_arrow