A monatomic gas at pressure P₁ and volume V₁ is compressed adiabatically to $${{1 \over 8}^{th}}$$ of its original volume. What is the final pressure of the gas?

If c_p and c_v denote the specific heats (per unit mass of an ideal gas of molecular weight M, then

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R₁ to another of radius R₂(R₂ > R₁) is

(1)   Centre of gravity (C.G) of a body is the point at which the weight of the body acts
(2)   Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius.
(3)   To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G.
(4)   The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis.

Which one of the following pairs of statements is correct ?