Previous Year Questions
51 questions — organised by subject with solutions and explanations.
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The minimum velocity (in ) with which a car driver must traverse a flat curve of radius and coefficient of friction to avoid skidding is
If a spring has time period , and is cut into equal parts, then the time period of each part will be
A charged particle is placed at the centre of cube of length . Another same charge is placed at a distance from . Then the electric flux through is
A child swinging on a swing in sitting position, stands up, then the time period of the swing will
The mass of product liberated on anode in an electrochemical cell depends on (where is the time period for which the current is passed).
A particle of mass moves along line PC with velocity as shown. What is the angular momentum of the particle about ?
A wave on a string meets with another wave producing a node at . Then the equation of the unknown wave is
Tube has bolt ends open while tube has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube and is
If a charge is placed at the center of the line joining two equal charges such that the system is in equilibrium then the value of is
Even Carnot engine cannot give efficiency because we cannot
Which of the following is more close to a black body?
Energy required to move a body of mass from an orbit of radius to is
Initial angular velocity of a circular disc of mass is . Then two small spheres of mass are attached gently to diametrically opposite points on the edge of the disc. What is the final angular velocity
A light string passing over a smooth light pulley connects two blocks of masses and (vertically). If the acceleration of the system is , then the ratio of the masses is
Heat given to a body which raises its temperature by 1° C is
Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will
If suddenly the gravitational force of attraction between Earth and a satellite revolving around it becomes zero, then the satellite will
Two spheres of the same material have radii and and temperatures and respectively. The ratio of the energy radiated per second by the first sphere to that by the second is
Capacitance (in ) of a spherical conductor with radius is
A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)
length of a string tied to two rigid supports is . Maximum length (wavelength in ) of a stationary wave produced on it is
If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should
The kinetic energy needed to project a body of mass from the earth surface (radius ) to infinity is
If in the circuit, power dissipation is , then is
Which statement is incorrect?
One end of a mass-less rope, which passes over a mass-less and friction-less pulley is tied to a hook while the other end is free. Maximum tension that the rope can bear is . With what value of maximu
In a simple harmonic oscillator, at the mean position
Two identical particles move towards each other with velocity and respectively. The velocity of center of mass is
Two forces are such that the sum of their magnitudes is and their resultant is which is perpendicular to the smaller force. Then the magnitudes of the forces are
A tuning fork arrangement (pair) produces 4 beats\/sec with one fork of frequency . A little wax is placed on the unknown fork and it then produces 2 beats\/sec. The frequency of the unknown fork is
Three identical blocks of masses are drawn by a force with an acceleration of on a frictionless surface, then what is the tension (in ) in the string between the blocks and ?
The escape velocity of a body depends upon mass as
1 mole of a gas with is mixed with 1 mole of a gas with , then the value of for the resulting mixture is
A lift is moving down with acceleration . A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground ar
A cylinder of height is completely filled with water. The velocity of efflux of water (in ) through a small hole on the side wall of the cylinder near its bottom is
On moving a charge of 20 coulomb by of work is done, then the potential differences between the points is
If , is the inversion temperature, is the neutral temperature, is the temperature of the cold junction, then
A ball whose kinetic energy E, is projected at an angle of to the horizontal. The kinetic energy of the ball at the highest point of its height will be
When forces are acting on a particle of mass such that and are mutually perpendicular, then the particle remains stationary. If the force is now removed then the acceleration of the particle is
A wire when connected to mains supply has power dissipation . Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is . Then is
Infrared radiation is detected by
Moment of inertia of a circular wire of mass and radius about its diameter is
When temperature increases, the frequency of a tuning fork
If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter a
If a body looses half of its velocity on penetrating in a wooden block, then how much will it penetrate more before coming to rest?
From a building two balls and are thrown such that is thrown upwards and downwards ( both vertically with the same speed ). If and are their respective velocities on reaching the ground, then
At what temperature is the velocity of a hydrogen molecule equal to that of an oxygen molecule at ?
Identify the pair whose dimensions are equal
Speeds of two identical cars are and at the specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is
A spring of force constant has an extension of . The work done in extending it from 5 to is
If there are capacitors in parallel connected to volt source, then the energy stored is equal to