Previous Year Questions
17 questions — organised by subject with solutions and explanations.
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Let there be a spherically symmetric charge distribution with charge density varying as upto , and for , where is the distance from the erigin. The electric field at a distance from the origin is give
Two fixed frictionless inclined planes making an angle and with the vertical are shown in the figure. Two blocks and are placed on the two planes. What is the relative vertical acceleration of with re
The respective number of significant figures for the numbers and are
A particle is moving with velocity , where is a constant. The general equation for its path is
For a particle in uniform circular motion the acceleration at a point on the circle of radius is (here is measured from the -axis)
A point moves in counter-clockwise direction on a circular path as shown in the figure. The movement of is such that it sweeps out a length , where is in metres and is in seconds. The radius of the pa
Statement - 1: Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.Statement : Principle of conservation of momentum holds true for all kinds of
The equation of a wave on a string of linear mass density is given by The tension in the string is
A thin semi-circular ring of radius has a positive charges distributed uniformly over it. The net field at the center is
A ball is made of a material of density where with and 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
A small particle of mass is projected at an angle with the -axis with an initial velocity in the plane as shown in the figure. At a time , the angular momentum of the particle iswhere and are unit vec
Two conductors have the same resistance at but their temperature coefficients of resistance are and . The respective temperature coefficients of their series and parallel combinations are nearly
The potential energy function for the force between two atoms in a diatomic molecule is approximately given by , where and are constants and is the distance between the atoms. If the dissociation ener
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of with each other. When suspended in a liquid of density , the angle remains the same. If density of
Let be the capacitance of a capacitor discharging through a resistor . Suppose is the time taken for the energy stored in the capacitor to reduce to half its initial value and is the time taken for th
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 to , the efficiency of the engine is
The figure shows the position-time graph of one-dimensional motion of body of mass . The magnitude of each impulse is