Previous Year Questions
29 questions — organised by subject with solutions and explanations.
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If the terminal speed of a sphere of gold (density ) is in a viscous liquid (density , find the terminal speed of a sphere of silver (density ) of the same size in the same liquid
A player caught a cricket ball of mass moving at a rate of . If the catching process is completed in , the force of the blow exerted by the ball on the hand of the player is equal to
A particle located at at time , starts moving along the positive -direction with a velocity ' ' that varies as . The displacement of the particle varies with time as
Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature , while Box contains one mole of helium at temperature . The boxes are then p
The work of is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by . The gas is
In a Wheatstone's bridge, three resistance and connected in the three arms and the fourth arm is formed by two resistances and connected in parallel. The condition for the bridge to be balanced will b
The current I drawn from the 5 volt source will be
An electric bulb is rated 220 volt - 100 watt. The power consumed by it when operated on 110 volt will be
An electric dipole is placed at an angle of to a non-uniform electric field. The dipole will experience
A bomb of mass at rest explodes into two pieces of masses and . The velocity of the mass is . The kinetic energy of the other mass is
Starting from the origin a body oscillates simple harmonically with a period of . After what time will its kinetic energy be of the total energy?
Consider a two particle system with particles having masses and . If the first particle is pushed towards the center of mass through a distance , by what distance should the second particle is moved,
Four point masses, each of value , are placed at the corners of a square of side . The moment of inertia of this system about an axis passing through and parallel to is
A thermocouple is made from 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
A string is stretched between fixed points separated by . It is observed to have resonant frequencies of and . There are no other resonant frequencies between these two. Then, the lowest resonant freq
A particle of mass is thrown vertically upwards with a speed of . The work done by the force of gravity during the time the particle goes up is
A mass of is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of with the initial vertical direction is
Two spherical conductors and of radii and are separated by a distance of and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the ratio of the ma
The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 , is . The period of oscillation is
A coin is placed on a horizontal platform which undergoes vertical simple harmonic motoin of angular frequency . The amplitude of oscillation is gradually increased. The coin will leave contact with t
A whistle producing sound waves of frequencies and above is approaching a stationary person with speed . The velocity of sound in air is . If the person can hear frequencies upto a maximum of , the ma
The resistance of bulb filament is at a temperature of . If its temperature coefficient of resistance be per , its resistance will become at a temperature of
A thin circular ring of mass and radius is rotating about its axis with a constant angular velocity . Two objects each of mass are attached gently to the opposite ends of a diameter of the ring. The r
The potential energy of a particle free to move along the -axis is given by The total mechanical energy of the particle is . Then, the maximum speed (in ) is
Assuming the Sun to be a spherical body of radius at a temperature of , evaluate the total radiant powered incident of Earth at a distance from the SunWhere is the radius of the Earth and is Stefan's
A force of acts on , the origin of the coordinate system. The torque about the point is
A ball of mass is thrown vertically upwards by applying a force by hand. If the hand moves while applying the force and the ball goes upto height further, find the magnitude of the force. (consider ).
A wire elongates by when a LOAD is hanged from it. If the wire goes over a pulley and two weights each are hung at the two ends, the elongation of the wire will be (in )
Two insulating plates are both uniformly charged in such a way that the potential difference between them is . (i.e., plate 2 is at a higher potential). The plates are separated by and can be treated