Previous Year Questions
49 questions — organised by subject with solutions and explanations.
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A force is applied over a particle which displaces it from its origin to the point . The work done on the particle in joules is
Two masses and tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when left free to move?
A uniform chain of length is kept on a table such that a length of hangs freely from the edge of the table. The total mass of the chain is . What is the work done in pulling the entire chain on the ta
A wire fixed at the upper end stretches by length by applying a force . The work done in stretching is
The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity and and thickness and , respectively, are and . The rate of heat
A particle at the end of a spring executes with a period . While the corresponding period for another spring is . If the period of oscillation with the two springs in series is then
Thermistors are usually made of
Two thermally insulated vessels 1 and 2 are filled with air at temperatures , volume and pressure respectively. If the value joining the two vessels is opened, the temperature inside the vessel at equ
The total current supplied to the circuit by the battery is
Time taken by a heater to heat one litre of water from to is
Spherical balls of radius are falling in a viscous fluid of viscosity with a velocity . The retarding viscous force acting on the spherical ball is
The total energy of particle, executing simple harmonic motion is
If two soap bubbles of different radii are connected by a tube
Two spherical conductors and having equal radii and carrying equal charges on them repel each other with a force when kept apart at some distance. A third spherical conductor having same radius as tha
A material ' has twice the specific resistance of ' . A circular wire made of ' has twice the diameter of a wire made of ' . Then for the two wires to have the same resistance, the ratio of their resp
A ball is thrown from a point with a speed at an angle of projection . From the same point and at the same instant person starts running with a constant speed to catch the ball. Will the person be abl
In a meter bridge experiment null point is obtained at , from one end of the wire when resistance is balanced against another resistance . If , then where will be the new position of the null point fr
The thermos of a thermocouple varies with temperature of the hot junction as in volts where the ratio is . If the cold junction is kept at , then the neutral temperature is
A body of mass , acceleration uniformly from rest to in time . The instantaneous power delivered to the body as a function of time is given by
One solid sphere and another hollow sphere are of same mass and same outer radii. Their moment of inertia about their diameters are respectively and such that
The bob of a simple pendulum executes simple harmonic motion in water with a period , while the period of oscillation of the bob is in air. Neglecting frictional force of water and given that the dens
An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii are in the ratio of and , then the ratio of the current passi
A satellite of mass revolves around the earth of radius at a height from its surface. If is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is
If is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass raised from the surface of the earth to a height equal to the radius of the earth is
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement is proportional to
An automobile travelling with speed of , can brake to stop within a distance of 20 . If the car is going twice as fast, i.e , the stopping distance will be
Which one of the following represents the correct dimensions of the coefficient of viscosity?
The Kirchhoff's first law and second law , where the symbols have their usual meanings, are respectively based on
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particles takes place in a plane. It follows that
A ball is released from the top of a tower of height meters. It takes seconds to reach the ground. What is the position of the ball in seconds?
A projectile can have the same range 'R' for two angles of projection. If and be the time of flights in the two cases, then the product of the two time of flights is directly proportional to
If the temperature of the sun were to increase from to and its radius from to , then the ratio of the radiant energy received on earth to what it was previously will be
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which on of the following will not be affected?
The displacement of a particle in a medium can be expressed as, where is in second and in meter. The speed of the wave is
One mole of ideal monatomic gas is mixed with one mole of diatomic gas . What is for the mixture? Denotes the ratio of specific heat at constant pressure, to that at constant volume
Which of the following statements is FALSE for a particle moving in a circle with a constant angular speed?
Suppose the gravitational force varies inversely as the power of distance. Then the time period of a planet in circular orbit of radius around the sun will be proportional to
A machine gun fires a bullet of mass with a velocity . The man holding it can exert a maximum force of on the gun. How many bullets can he fire per second at the most?
A charged oil drop is suspended in a uniform field of so that it neither falls nor rises. The charge on the drop will be (Take the mass of the charge and )
The time period of an earth satellite in circular orbit is independent of
A block rests on a rough inclined plane 'making an angle of with the horizontal. The coefficient of static friction between the block and the plane is . If the frictionless force on the block is , the
In forced oscillation of a particle the amplitude is maximum for a frequency of the force while the energy is maximum for a frequency of the force; then
The resistance of the series combination of two resistances is . When they are jointed in parallel the total resistance is . If then the Minimum possible value of is
The electrochemical equivalent of a metal is per Coulomb. The mass of the metal liberated at the cathode when a current is passed for 2 seconds will be
Four charges equal to - are placed at the four corners of a square and a charge is at its center. If the system is in equilibrium the value of is
Which of the following statements is correct for any thermodynamic system ?
A charge particle is shot towards another charged particle which is fixed, with a speed ' . It approaches upto a closest distance and then returns. If were given a speed of the closest distances of ap
A particle of mass is attached to a spring (of spring constant ) and has a natural angular frequency . An external force proportional to is applied to the oscillator. The time displacement of the osci