The dimension of \({\left( {\mu}_{0}{\epsilon}_{0} \right)}^{{{1}\over{2}}}\) is

If a particle executes uniform circular motion in the xy plane in clock wise direction, then the angular velocity is in

Choose the motion in two dimension from the following.

A vehicle is moving along the positive x direction, if sudden brake is applied, then

A uniform force of (2\(\hat { i }\)+\(\hat { j }\)) N acts on a particle of mass 1 kg. The particle displaces from position (3\(\hat { j }\)+\(\hat { k }\)) m to (5\(\hat { i }\)+3\(\hat { j }\)) m. The work done by the force on the particle is

The speed of the center of a wheel rolling on a horizontal surface is v_o.  A point on the rim in level with the center will be moving at a speed of,

In a rectangle ABCD (BC = 2AB). The moment of inertia is minimum along axis through _____________
 

In the following, what are the quantities which that are conserved?

The wettability of a surface by a liquid depends primarily on

A pure substance would freeze or solidity at its _____________.

An ideal refrigerator has a freezer at temperature −12°C. The coefficient of performance of the engine is 5. The temperature of the air (to which the heat ejected) is

If s_P and s_V denote the specific heats of nitrogen gas per unit mass at constant pressure and constant volume respectively, then

A pendulum is hung in a very high building oscillates to and fro motion freely like a simple harmonic oscillator. If the acceleration of the bob is 16 ms⁻² at a distance of 4 m from the mean position, then the time period is

The ratio of frequences of 2 pendulums are 2 : 3, then their lengths are in ratio ______________.

Let y = \(\frac{1}{1+x^2}\) at t = 0 s be the amplitude of the wave propagating in the positive x-direction. At t = 2 s, the amplitude of the wave propagating becomes \(y=\frac{1}{1+(x-2)^{2}}. \) Assume that the shape of the wave does not change during propagation. The velocity of the wave is

Is it possible to have length and velocity both as fundamental quantities? Why

A train 100 m long is moving with a speed of 60 km h^-1. In how many seconds will it cross a bridge of 1 km long?

Why it is not possible to push a car from inside?

A man pulls a lawn roller through a distance of 20 m with a force of 20 kg weight. If he applies the force at an angle of 60° with the ground, calculate the power developed if he takes 1 min in doing so.

When a tree is cut, the cut is made on the side facing the direction in which the tree is required to fall. Why?

Write down the expression for the Stoke’s force and explain the symbols involved in it.

A man starts bicycling in the morning at a temperature around 25°C, he checked the pressure of tire which is equal to be 500 kPa. Afternoon he found that the absolute pressure in the tyre is increased to 520 kPa. By assuming the expansion of tyre is negligible, what is the temperature of tyre at afternoon?

What is meant by force constant of a spring?

What is persistence of hearing?

Give any three practical units of time.

What is non uniform circular motion?

A block of mass m is pushed momentarily along a horizontal surface with an initial velocity u. If u_k is the coefficient of kinetic friction between the object and surface, find the time at which the block comes to rest.

What is meant by negative work? Give example.

Write the equation for the CM of two point masses when,
(i) Masses are on positive x-axis
(ii) Origin coincides with anyone of the masses 
(iii) origin coincides with CM itself.

Draw graphs showing the variation of acceleration due to gravity with
(i) height above the earth's surface
(ii) depth below the earth's surface.

A metal tube & a rod of same distance, same material & same outer diameter are given same amount of heat. Which will show less expansion & why?

Equal masses of O₂ and He gases are supplied equal amount of heat. Which gas will undergo a greater temperature rise and why?

Calculate the speed of sound in a steel rod whose Young’s modulus Y = 2\(\times\)10¹¹ N m^-2 and \(\rho\) = 7800 kg m^-3.