Solved papers for JEE Main & Advanced AIEEE Solved Paper-2006
done AIEEE Solved Paper-2006 Total Questions - 55
question_answer1) The Kirchhoff's first law\[(\Sigma i=0)\]and second law\[(\Sigma iR=\Sigma E)\], where the symbols have their usual meanings, are respectively based on
AIEEE Solved Paper-2006
question_answer2) Needles\[{{N}_{1}},{{N}_{2}}\]and\[{{N}_{3}}\]are made of a ferromagnetic, a paramagnetic and a diamagnetic substance, respectively. A magnet when brought close to them will
AIEEE Solved Paper-2006
A)
Attract\[{{N}_{1}}\]and\[{{N}_{2}}\]strongly but repel\[{{N}_{3}}\]
doneclear
B)
Attract\[{{N}_{1}}\]strongly, \[{{N}_{2}}\]weakly and repel\[{{N}_{3}}\] weakly
doneclear
C)
Attract\[{{N}_{1}}\]strongly, but repel\[{{N}_{2}}\]and\[{{N}_{3}}\]weakly
question_answer3) A material B has twice the specific resistance of A. A circular wire made of B has twice the diameter of a wire made of Then, for the two wires to have the same resistance, the ratio \[{{l}_{B}}/{{l}_{A}}\] respective lengths must be
AIEEE Solved Paper-2006
question_answer4) In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A charged particle is released from rest in this region. The path of the particle will be a
AIEEE Solved Paper-2006
question_answer5) An electric dipole is placed at an angle of \[30{}^\circ \]to a non-uniform electric field. The dipole will experience
AIEEE Solved Paper-2006
A)
a translational force only in the direction of the field
doneclear
B)
a translational force only in a direction normal to the direction of the field
question_answer6) A particle located at\[x=0\]at time\[t=0\], starts moving along the positive x-direction with a velocity v that varies as \[v=\alpha \sqrt{x}\]. The displacement of the particle varies with time as
AIEEE Solved Paper-2006
question_answer7) A bomb of mass 16 kg at rest explodes into two pieces of masses 4 kg and 12 kg. The velocity of the 12 kg mass is\[4\text{ }m{{s}^{-1}}\]. The kinetic energy of the other mass is
AIEEE Solved Paper-2006
question_answer8) A whistle producing sound waves of frequencies 9500 Hz and above is approaching a stationary person with speed\[v\text{ }m{{s}^{-1}}\]. The velocity of sound in air is \[300\,m{{s}^{-1}}\]. If the person can hear frequencies up to a maximum of 10000 Hz, the maximum value of v up to which he can hear the whistle is
AIEEE Solved Paper-2006
question_answer9) A mass of M kg is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of \[45{}^\circ \]with the initial vertical direction is
AIEEE Solved Paper-2006
question_answer10) A particle of mass 100 g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up is
AIEEE Solved Paper-2006
question_answer11) The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 mm, is 4.4 m/s. The period of oscillation is
AIEEE Solved Paper-2006
question_answer12) Starting from the origin, a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy?
AIEEE Solved Paper-2006
question_answer13) Assuming the sun to be a spherical body of radius R at a temperature of T K, evaluate the total radiant power, incident on earth, at a distance r from the sun.
question_answer14) Which of the following units denote the dimensions\[[M{{L}^{2}}/{{Q}^{2}}],\]where 0 denotes the electric charge?
AIEEE Solved Paper-2006
question_answer15) A ball of mass 0.2 kg is thrown vertically upwards by applying a force by hand. If the hand moves 0.2 m while applying the force and the ball goes up to 2 m height further, find the magnitude of the force. Consider\[g=10\text{ }m/{{s}^{2}}\].
AIEEE Solved Paper-2006
question_answer16) A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is
AIEEE Solved Paper-2006
question_answer17) Consider a two particle system with particles having masses\[{{m}_{1}}\]and\[{{m}_{2}}\]. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?
AIEEE Solved Paper-2006
question_answer18) A player caught a cricket ball of mass 150 g moving at a rate of 20 m/s. If the catching process is completed in 0.1 s, the force of the blow exerted by the ball on the hand of the player is equal to
AIEEE Solved Paper-2006
question_answer19) In a common-base mode of a transistor, the collector current is 5.488 mA for an emitter current of 5.60 mA. The value of the base current amplification factor (P) will be
AIEEE Solved Paper-2006
question_answer20) A thermocouple is made of two metals, Antimony and Bismuth. If one junction of the couple is kept hot and the other is kept cold, then an electric current will
AIEEE Solved Paper-2006
A)
flow from Antimony to Bismuth at the hot junction
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B)
flow from Bismuth to Antimony at the cold junction
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C)
not flow through the thermocouple
doneclear
D)
flow from Antimony to Bismuth at the cold junction
question_answer21) The threshold frequency for a metallic surface corresponds to an energy of 6.2 eV and the stopping potential for a radiation incident on this surface is 5V. The incident radiation lies in
AIEEE Solved Paper-2006
question_answer22) An alpha nucleus of energy \[\frac{1}{2}m{{v}^{2}}\]bombards a heavy nuclear target of charge \[Ze\]. Then, the distance of closest approach for the alpha nucleus will be proportional to
AIEEE Solved Paper-2006
question_answer24) When\[_{3}L{{i}^{7}}\]nuclei are bombarded by protons and the resultant nuclei are\[_{4}B{{e}^{8}},\] the emitted particles will be
AIEEE Solved Paper-2006
question_answer26) The energy spectrum of \[\beta \]-particles [number N(E) as a function of \[\beta \]-energy E] emitted from a radioactive source is
AIEEE Solved Paper-2006
question_answer27) In a series resonant LCR circuit, .the voltage across R is 100 V and\[R=1k\,\Omega \]. With\[C=2\mu F\]. The resonant frequency\[\omega \] is 200 rad/s. At resonance, the voltage across L is
AIEEE Solved Paper-2006
question_answer28) The resistance of a bulb filament is\[100\text{ }\Omega \].at a temperature of\[100{}^\circ C\]. If its temperature coefficient of resistance is\[0.005/{}^\circ C,\]its resistance will become\[200\,\Omega \]. at a temperature of
AIEEE Solved Paper-2006
question_answer29) Two insulating plates are both uniformly charged in such a way that the potential difference between them is\[{{V}_{2}}-{{V}_{1}}=20\,V\] (i.e., plate 2 is at a higher potential). The plates are separated by\[d=0.1\text{ }m\]and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2? \[(e=1.6\times {{10}^{-19}}C,{{m}_{0}}=9.11\times {{10}^{-31}}kg)\]
AIEEE Solved Paper-2006
question_answer30) In an AC generator, a coil with N turns, all of the same area A and total resistance R, rotates with frequency \[\omega \] in a magnetic field B. The maximum value of emf generated in the coil is
AIEEE Solved Paper-2006
question_answer31) A solid which is not transparent to visible light and whose conductivity increases with temperature is formed by
AIEEE Solved Paper-2006
question_answer32) The refractive index of glass is 1.520 for red light and 1.525 for bin l light. Let\[{{D}_{1}}\]and\[{{D}_{2}}\]be angles of minimum deviation for red and blue light respectively in a prism of this glass. Then,
AIEEE Solved Paper-2006
A)
\[{{D}_{1}}<{{D}_{2}}\]
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B)
\[{{D}_{1}}={{D}_{2}}\]
doneclear
C)
\[{{D}_{1}}\]can be less than or greater than\[{{D}_{2}}\] depending upon. The angle of prism
question_answer33) If the ratio of the concentration of electrons to that of holes in a semiconductor is\[\frac{7}{5}\]and the ratio of currents is \[\frac{7}{4}\], then what is the ratio of their drift velocities?
AIEEE Solved Paper-2006
question_answer34) In a Wheatstone?s bridge, three resistances P, Q and R are connected in the three arms and the fourth arm is formed by two resistances\[{{S}_{1}}\]and\[{{S}_{2}}\]connected in parallel. The condition for the bridge to be balanced will be
AIEEE Solved Paper-2006
question_answer35) The flux linked with a coil at any instant t is given by \[\phi =10{{t}^{2}}-50t+250\] The induced emf at\[t=3\text{ }s\]is
AIEEE Solved Paper-2006
question_answer36) A long solenoid has 200 turns/cm and carries a current i. The magnetic field at its centre is \[6.28\,\times {{10}^{-2}}\,Wb/{{m}^{2}}\]. Another long solenoid has 100 turns/cm and it carries a current\[i/3\]. The value of the magnetic field at its centre is
AIEEE Solved Paper-2006
question_answer37) The circuit has two oppositely connected ideal diodes in parallel. What is the current flowing in the circuit?
AIEEE Solved Paper-2006
question_answer39) The anode voltage of a photocell is kept fixed. The wavelength \[\lambda \] of the light falling on the cathode is gradually changed. The plate current I of the photocell varies as follows
AIEEE Solved Paper-2006
question_answer40) If the binding energy per nucleon in\[_{3}^{7}Li\]and\[_{2}^{4}He\]nuclei are 5.60 MeV and 7.06 MeV respectively, then in the reaction \[P+_{3}^{7}Li\to 2_{2}^{4}He\] energy of proton must be
AIEEE Solved Paper-2006
question_answer41) An electric bulb is rated\[220\text{ }V-100\text{ }W\]The power consumed by it when operated on 110 V will be
AIEEE Solved Paper-2006
question_answer43) A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency\[\omega \]. The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time
AIEEE Solved Paper-2006
question_answer44) Four point masses, each of value m, are placed at the corners of a square ABCD of side \[l\]. The moment of inertia of this system about an axis passing through A and parallel to BD is
AIEEE Solved Paper-2006
question_answer45) A force of \[-F\hat{k}\] acts on O, the origin of the coordinate system. The torque about the point \[(1,-1)\]is
AIEEE Solved Paper-2006
question_answer46) The potential energy of a 1 kg particle free to move along the x-axis is given by \[V(x)=\left( \frac{{{x}^{4}}}{4}-\frac{{{x}^{2}}}{2} \right)J\] The total mechanical energy of the particle is 2 J. Then, the maximum speed (in m/s) is
AIEEE Solved Paper-2006
question_answer47) A thin circular ring of mass m and radius R is rotating about its axis with a constant angular velocity\[\omega \]. Two objects each of mass M are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity\[\omega '\]is equal to
AIEEE Solved Paper-2006
question_answer48) A wire elongates by\[l\,mm\] when a load W is hanged from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be (in mm)
AIEEE Solved Paper-2006
question_answer49) An inductor\[(L=100mH)\], a resistor\[(R=100\,\Omega )\] and a battery\[(E=100\,V)\]are initially connected in series as shown in the figure. After a long time, the battery is disconnected after short circuiting the points A and B. The current in the circuit 1 ms after the short circuit is
AIEEE Solved Paper-2006
question_answer50) Two spherical conductors A and B of radii 1 mm and 2 mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a conducting wire, the in equilibrium condition, the ratio of the magnitude of the electric fields at the surfaces of spheres A and B is
AIEEE Solved Paper-2006
question_answer51) Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature \[{{T}_{0}},\] while box B contains one mole of helium at temperature (7/3)\[{{T}_{0}}\]. The boxes are then put into thermal contact with each other and heat flows between them until the gases reach a common final temperature (ignore the heat capacity of boxes). Then, the final temperature of the gases,\[{{T}_{f}}\]in terms of\[{{T}_{0}}\]is
AIEEE Solved Paper-2006
question_answer52) The work of 146 kJ is performed in order to compress one kilo mole of a gas adiabatically and in this process, the temperature of the gas increases by\[7{}^\circ C\]. The gas is \[(R=8.3\,J\,mo{{l}^{-1}}{{K}^{-1}})\]
AIEEE Solved Paper-2006
question_answer54) The \[rms\] value of the electric field of the light coming from the sun is 720 N/C. The average total energy density of the electromagnetic wave is
AIEEE Solved Paper-2006
question_answer55) If the terminal speed of a sphere of gold (density\[=19.5\text{ }kg/{{m}^{3}}\]) is 0.2 m/s in a viscous liquid (density\[=1.5\text{ }kg/{{m}^{3}}\]), find the terminal speed of a sphere of silver (density =10.5\[kg/{{m}^{3}}\]) of the same size in the same liquid.
AIEEE Solved Paper-2006