Previous Year Questions
19 questions — organised by subject with solutions and explanations.
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A long metallic bar is carrying heat from one of its ends to the other end under steadystate. The variation of temperature along the length of the bar from its hot end is best described by which of th
A thin uniform rod of length and mass is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is . Its center of mass rises to a maximum height of:
Consider a rubber ball freely falling from a height onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic.Then the ve
Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area and wire 2 has cross-sectional area . If the length of wire 1 increases by on applying force ,
A charge is placed at each of the opposite corners of a square. A charge is placed at each of the other two corners. If the net electrical force on is zero, then equals:
In an experiment the angles are required to be measured using an instrument, 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the
If and denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period , then, which of the following does not change with time?
Statement - 1: The temperature dependence of resistance is usually given as . The resistance of wire changes from to when its temperature is increased from to . This implies that .Statement - 2: is va
Two moles of helium gas are taken over the cycle , as shown in the - diagram.The net work done on the gas in the cycle is:
Two moles of helium gas are taken over the cycle , as shown in the diagram.Assuming the gas to be ideal the work done on the gas in taking it from to is :
(This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.)Statement-1 : For a charged particle moving
A particle has an initial velocity and an acceleration of . Its speed after is:
Three sound waves of equal amplitudes have frequencies . They superpose to give beats. The number of beats produced per second will be :
A motor cycle starts from rest and accelerates along a straight path at . At the starting point of the motor cycle there is a stationary electric siren. How far has the motor cycle gone when the drive
Let be the change density distribution for a solid sphere of radius and total charge . For a point inside the sphere at distance from the center of the sphere, the magnitude of electric field is :
One of a diatomic gas is at a pressure of . The density of the gas is . What is the energy of the gas due to its thermal motion?
Two points and are maintained at the potentials of and , respectively. The work done in moving 100 electrons from to is :
The height at which the acceleration due to gravity becomes (where the acceleration due to gravity on the surface of the earth) in terms of , the radius of the earth, is:
Two moles of helium gas are taken over the cycle , as shown in the - diagram.The work done on the gas in taking it from to is :