Physics Test - 6

The Vander Waal’s equation for a gas is  = nRT where P, V, R, T and n represent the pressure, volume, universal gas constant, absolute temperature and number of moles of a gas respectively.  a and b are constants.  The ratio b/a will have the following dimensional formula

A boy is swinging on a swing such that his lowest and highest positions are at heights of 2m and 4.5m respectively. His velocity at the lowest position is

Four point size bodies each of mass M are fixed at four corners of a light squre frame of side length L. The moment of inertia of the four bodies about an axis perpendicular to the plane of frame and passing through its centre is

A particle starts moving from rest under uniform acceleration. It travels a distance ‘x’ in the first two seconds and a distance ‘y’ in the next two seconds. If y = nx, then n is equal to ______.

The orbital speed for an earth satellite near the surface of the earth is 7 km/sec.  If the radius of the orbit is 4 times the radius of the earth, the orbital speed would be ____km/sec.

The time period of a simple pendulum of length 80 cm on the earth is

A wire of length 1 m and radius 4 mm is clamped at one end and the other end is twisted by an angle 30° then the angle of shear is

An air bubble of radius r is formed at a depth h below the surface of water. The pressure inside the bubble is: [T = surface tension, P_O = atmospheric pressure] d = density of water.

The temperature of 5 moles of a gas at constant volume is changed from 100°C to 120°C.  The change in internal energy is 80J. The total heat capacity of the gas at constant volume will be _________  joule/kelvin.

Gas at a pressure P₀ is contained in a vessel.  If the masses of all molecules are halved and their speeds are doubled, the resulting pressure P will be equal to