Previous Year Questions
19 questions — organised by subject with solutions and explanations.
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Two particles are executing simple harmonic motion of the same amplitude and frequency along the -axis. Their mean position is separated by distance . If the maximum separation between them is , the p
Three perfect gases at absolute temperatures and are mixed. The masses of molecules are and and the number of molecules are and respectively. Assuming no loss of energy, the final temperature of the m
Two bodies of masses and are placed at a distance . The gravitational potential at a point on the line joining them where the gravitational field is zero is:
A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is , the total area around the fountain that gets wet is :
A screw gauge gives the following reading when used to measure the diameter of a wire.Main scale reading: Circular scale reading : 52 divisionsGiven that on main scale corresponds to 100 divisions of
A pulley of radius is rotated about its axis by a force newton (where is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is the number of r
A mass , attached to a horizontal spring, executes . with amplitude . When the mass passes through its mean position then a smaller mass is placed over it and both of them move together with amplitude
A thin horizontal circular disc is rotating about a vertical axis passing through its center. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the dis
The transverse displacement of a wave on a string is given by . This represents :
If a wire is stretched to make it longer, its resistance will:
A thermally insulated vessel contains an ideal gas of molecular mass and ratio of specific heats . It is moving with speed and it's suddenly brought to rest. Assuming no heat is lost to the surroundin
Work done in increasing the size of a soap bubble from a radius of to is nearly (Surface tension of soap solution ,
A Carnot engine operating between temperatures and has efficiency . When is lowered by its efficiency increases to . Then and are, respectively:
A mass hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass and radius . Assuming pulley to be a perfect uniform circular disc, the acceleration of th
An object, moving with a speed of , is decelerated at a rate given by : where is the instantaneous speed. The time taken by the object, to come to rest, would be:
The electrostatic potential inside a charged spherical ball is given by where is the distance from the center and are constants. Then the charge density inside the ball is:
Water is flowing continuously from a tap having an internal diameter . The water velocity as it leaves the tap is . The diameter of the water stream at a distance below the tap is close to:
of water is heated from to . Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is ):
Two identical charged spheres suspended from a common point by two massless strings of length are initially a distance apart because of their mutual repulsion. The charge begins to leak from both the