Previous Year Questions
24 questions — organised by subject with solutions and explanations.
🎯 Practice smarter, not harder
Just sign in to unlock everything. Free for all students.
A particle is projected at to the horizontal with a kinetic energy . The kinetic energy at the highest point is
An electric charge is placed at the origin of co-ordinate system. Two points and are situated at and respectively. The potential difference between the points and will be
For the given uniform square lamina , whose center is ,
A parallel plate condenser with a dielectric of dielectric constant between the plates has a capacity and is charged to a potential volt. The dielectric slab is slowly removed from between the plates
A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the c
A circular disc of radius is removed from a bigger circular disc of radius such that the circumferences of the discs coincide. The center of mass of the new disc is form the center of the bigger disc.
A round uniform body of radius , mass and moment of inertia rolls down (without slipping) an inclined plane making an angle with the horizontal. Then its acceleration is
Two springs, of force constant and are connected to a mass as shown. The frequency of oscillation of the mass is . If both and are made four times their original values, the frequency of oscillation b
One end of a thermally insulated rod is kept at a temperature and the other at . The rod is composed of two sections of length and and thermal conductivities and respectively. The temperature at the i
The velocity of a particle is . If its position is at , then its displacement after unit time is
A sound absorber attenuates the sound level by . The intensity decreases by a factor of
The displacement of an object attached to a spring and executing simple harmonic motion is given by metre. The time at which the maximum speed first occurs is
Angular momentum of the particle rotating with a central force is constant due to
A point mass oscillates along the -axis according to the law . If the acceleration of the particle is written as , then
A particle of mass executes simple harmonic motion with amplitude a and frequency . The average kinetic energy during its motion from the position of equilibrium to the end is
A Carnot engine, having an efficiency of as heat engine, is used as a refrigerator . If the work done on the system is , the amount of energy absorbed from the reservoir at lower temperature is
If and denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then
When a system is taken from state to state along the path , it is found that and . Along the path . along the path is
The resistance of a wire is at and at . The resistance of the wire at will be
If and are the accelerations due to gravity on the surfaces of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratio
Charges are placed on the vertices of a square as shown. Let be the electric field and the potential at the center. If the charges on and are interchanged with those on and respectively, then
The potential at a point (measured in ) due to some charges situated on the -axis is given by volt The electric field at is given by
A block of mass is connected to another block of mass by a spring (massless) of spring constant . The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is un
A block slides on a horizontal floor with a speed of . It strikes a uncompressed spring, and compress it till the block is motionless. The kinetic friction force is and spring constant is . The spring