Solved papers for JEE Main & Advanced AIEEE Solved Paper-2010
done AIEEE Solved Paper-2010 Total Questions - 30
question_answer1) Directions Q. No. 1 are based on the following paragraph.
An initially parallel cylindrical beam travels in a medium of refractive index \[\mu (I)={{\mu }_{0}}+{{\mu }_{2}}I,\] where \[{{\mu }_{0}}\] and \[{{\mu }_{2}}\] are positive constants and \[I\] is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.
The initial shape of the wavefront of the beam is -
AIEEE Solved Paper-2010
A)
planar
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B)
convex
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C)
concave
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D)
convex near the axis and concave near the periphery
question_answer2) Directions Q. No. 2 are based on the following paragraph.
An initially parallel cylindrical beam travels in a medium of refractive index \[\mu (I)={{\mu }_{0}}+{{\mu }_{2}}I,\] where \[{{\mu }_{0}}\] and \[{{\mu }_{2}}\] are positive constants and \[I\] is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.
The speed of light in the medium is ?
AIEEE Solved Paper-2010
question_answer3) Directions Q. No. 3 are based on the following paragraph.
An initially parallel cylindrical beam travels in a medium of refractive index \[\mu (I)={{\mu }_{0}}+{{\mu }_{2}}I,\] where \[{{\mu }_{0}}\] and \[{{\mu }_{2}}\] are positive constants and \[I\] is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.
As the beam enters the medium, it will -
AIEEE Solved Paper-2010
A)
travel as a cylindrical beam
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B)
diverge
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C)
converge
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D)
diverge near the axis and converge near the periphery
question_answer4) Directions Q. No. 4 are based on the following paragraph.
A nucleus of mass \[M+\Delta m\] is at rest and decays into two daughter nuclei of equal mass \[\frac{M}{2}\] each.
Speed of light is c.
The speed of daughter nuclei is ?
AIEEE Solved Paper-2010
question_answer5) Directions Q. No. 5 are based on the following paragraph.
A nucleus of mass \[M+\Delta m\] is at rest and decays into two daughter nuclei of equal mass \[\frac{M}{2}\] each.
Speed of light is c.
The binding energy per nucleon for the parent nucleus is\[{{E}_{1}}\]and that for the daughter nuclei is\[{{E}_{2}}\]. Then ?
AIEEE Solved Paper-2010
question_answer6) Directions: Statement I and Statement II. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement-1: When ultraviolet light is incident on a photocell, its stopping potential is\[{{V}_{0}}\]and the maximum kinetic energy of the photoelectrons is\[{{K}_{max}}\]. When the ultraviolet light is replaced by X-rays, both\[{{V}_{0}}\]and\[{{K}_{max}}\] increase.
Statement-2: Photoelectrons are emitted with speeds ranging from zero to a maximum value because the range of frequencies present in the incident light. Directions: Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.
AIEEE Solved Paper-2010
A)
Statement-1 is true, Statement-2 is false.
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B)
Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1
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C)
Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.
question_answer7) Directions: Statement I and Statement II. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement-1: Two particles moving in the same direction do not lose all their energy in a completely inelastic collision. Statement- 2: Principle of conservation of momentum holds true for all kinds of collisions. Directions: Statement-1 and
Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.
AIEEE Solved Paper-2010
A)
Statement-1 is true, Statement-2 is false.
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B)
Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1
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C)
Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.
question_answer8) The figure shows the position - time (x - t) graph of one-dimensional motion of the body of mass 0.4 kg. The magnitude of each impulse is ?
AIEEE Solved Paper-2010
question_answer9) Two long parallel wires are at a distance 2d apart. They carry steady equal currents flowing out of the plane of the paper as shown. The variation of the magnetic field B along the line XX? is given by -
AIEEE Solved Paper-2010
question_answer10) A ball is made of a material of density \[\rho \] where \[{{\rho }_{oil}}<\rho <{{\rho }_{water}}\]with\[{{\rho }_{oil}}\]and\[{{\rho }_{water}}\] representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium position?
AIEEE Solved Paper-2010
question_answer11) A thin semi-circular ring of radius r has a positive charge q distributed uniformly over it. The net field\[\overrightarrow{E}\]at the centre O is ?
AIEEE Solved Paper-2010
question_answer12) A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from V to 32 V, the efficiency of the engine is-
AIEEE Solved Paper-2010
question_answer13) The respective number of significant figures for the numbers 23.023, 0.0003 and\[2.1\times {{10}^{3}}\] are -
AIEEE Solved Paper-2010
question_answer15) If a source of power 4 kW produces\[{{10}^{20}}\]photons/second, the radiation belongs to a part of the spectrum called ?
AIEEE Solved Paper-2010
question_answer16) A radioactive nucleus (initial mass number A and atomic number Z) emits 3 α-particles and 2 positrons. The ratio of number of neutrons to that of protons in the final nucleus will be ?
AIEEE Solved Paper-2010
question_answer17) Let there be a spherically symmetric charge distribution with charge density varying as\[\rho (r)={{\rho }_{0}}\left( \frac{5}{4}-\frac{r}{R} \right)\]up to\[r=R,\]and\[\rho (r)=0\]for\[r>R,\]where r is the distance from the origin. The electric field at a distance \[r(r<R)\]from the origin is given by ?
AIEEE Solved Paper-2010
question_answer18) In a series LCR circuit\[R=200\,\,\Omega \]and the voltage and the frequency of the main supply is 220 V and 50 Hz respectively. On taking out the capacitance from the circuit the current lags behind the voltage by\[30{}^\circ \]. On taking out the inductor from the circuit the current leads the voltage by \[30{}^\circ \]. The power dissipated in the LCR circuit is ?
AIEEE Solved Paper-2010
question_answer20) A particle is moving with velocity ) \[\overrightarrow{v}=K(y\hat{i}+x\hat{j})\]where K is a constant. The general equation for its path is ?
AIEEE Solved Paper-2010
question_answer21) Let C be the capacitance of a capacitor discharging through a resistor R. Suppose\[{{t}_{1}}\]is the time taken for the energy stored in the capacitor to reduce to half its initial value and \[{{t}_{2}}\]is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio \[{{t}_{1}}/{{t}_{2}}\]will be ?
AIEEE Solved Paper-2010
question_answer22) A rectangular loop has a sliding connector PQ of length\[l\]and resistance\[R\,\Omega \]and it is moving with a speed v as shown. The set-up is placed in a uniform magnetic field going into the plane of the paper. The three currents\[{{I}_{1}},{{I}_{2}}\]and I are ?
AIEEE Solved Paper-2010
question_answer23) The equation of a wave on a string of linear mass density\[0.04\text{ }kg\text{ }{{m}^{1}}\]is given by\[y=0.02\] (m) \[\sin \left[ 2\pi \left( \frac{t}{0.04(s)}-\frac{x}{0.50(m)} \right) \right]\].The tension in the string is ?
AIEEE Solved Paper-2010
question_answer24) Two fixed frictionless inclined planes making an angle\[30{}^\circ \]and\[60{}^\circ \]with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B?
AIEEE Solved Paper-2010
question_answer25) For a particle in uniform circular motion, the acceleration\[\overrightarrow{a}\]at a point\[P(R,\text{ }\theta )\]on the circle of radius R is (Here\[\theta \]is measured from the x-axis)
AIEEE Solved Paper-2010
question_answer26) A small particle of mass m is projected at an angle\[\theta \]with the x-axis with an initial velocity \[{{v}_{0}}\] in the\[x-y\]plane as shown in the figure. At a time \[t<\frac{{{v}_{0}}\sin \theta }{g},\] the angular momentum of the particle is ?
AIEEE Solved Paper-2010
question_answer27) Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of\[30{}^\circ \]with each other. When suspended in a liquid of density\[0.8\text{ }g\text{ }c{{m}^{3}},\] the angle remains the same. If density of the material of the sphere is\[1.6\text{ }g\text{ }c{{m}^{3}},\] the dielectric constant of the liquid is ?
AIEEE Solved Paper-2010
question_answer28) A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of 'P' is such that it sweeps out a length\[s={{t}^{3}}+5,\]where s is in metres and t is in seconds. The radius of the path is 20 m. The acceleration of 'P' when\[t=2s\] is nearly.
AIEEE Solved Paper-2010
question_answer29) The potential energy function for the force between two atoms in a diatomic molecule is approximately given by \[U(x)=\frac{a}{{{x}^{12}}}-\frac{b}{{{x}^{6}}}\]where a and b are constants and\[x\]is the distance between the atoms. If the dissociation energy of the molecule is \[D=[U(x=\infty )-{{U}_{at\,equilibrium}}],D\]is ?
AIEEE Solved Paper-2010
question_answer30) Two conductors have the same resistance at \[0{}^\circ C\]but their temperature coefficients of resistance are\[{{\alpha }_{1}}\]and\[{{\alpha }_{2}}\]. the respective temperature coefficients of their series and parallel combinations are nearly ?
AIEEE Solved Paper-2010