List of practice Questions

The kinetic energy of a particle of mass m executing linear simple harmonic motion with angular velocity $ω$ and amplitude $a$ is $\frac 1{4} ma^2ω^2$ at a distance of _______from the mean position.
The velocity of a transverse wave propagating on a stretched string represented by the equation, $y = 0.5sin(x)(\frac{\pi}2 t + \frac{\pi}3 x)$ is (where x and y are in metres and / in seconds)
If the ratio of the acceleration due to gravity on the surface of earth to that on the surface of the moon is 6:1, then the ratio of the periods of a simple pendulum on their surfaces is
A planet with radius R and acceleration due to gravity g, will have atmosphere only if r.m.s. speed of air molecules is less than
The ratio of the kinetic energy values of 4g of hydrogen ($H_2$) to 7g of nitrogen ($N_2$) at room temprature is
When an ideal diatomic gas is heated at constant pressue, fraction of heat enerry supplied that increases the internal energy of the gas is
When the temperature of the source of a Carnot engine is at 400 K, its efficiency is 25%. The required increase in temperature of the source to increase the efficiency to 50% is
A process in which there is no flow of heat between the system and surroundings is a/an
Two thermally insulated identical vessels A and B are connected through a stopcock. A contains a gas at STP and B is completely evacuated. If the stopcock is suddenly opened then
According to equation of continuity when a liquid flows through a tube of variable cross section a with variable velocity v, the quantity that remains constant is
When a body is strained, energy stored per unit volume is (Y-Young's modulus)
The TRUE statement is
With the increase of tempemture
When two identical spheres each of radius r are kept in contact with each other, then the force of attraction between the two spheres is proportional to
If the earth shrinks to half of its present size and its mass reduces to half of its actual mass, then the acceleration due to gravity(g) on its surface will be
If T be the time period of a planet around the Sun and d is its mean distance from the Sun, then according to Kepler's third law
When no external torque acts on a rotating system,
Radius of gyration of a solid cylinder of radius R and length L about its long axis of symmetry is
The X and Y coordinates of the three particles of masses m, 2m and 3m are respectively (0,0), (1,0) and (-2,0). The X-coordinate of the centre of mass of the system is
A solid metal ring and a disc of same radius and mass are rotating about their diameters with same angular frequency. The ratio of their respective rotational kinetic energy values is
An object released from certain height h, from the ground rebounds to a height h/4after striking the ground. The fraction of the energy lost by it is
A ball with $10^3J$ of kinetic.energy coflides with a.hodzontally mounted spring. If the maximum compression of the. spring is 50 cm, then the spring constatrt of the spring is
The instantaneous power in terms of force F and instantaneous velocity v is
When a metal spring is elongated within its elastic limit
Area under the force-time graph gives the change in