On what basis would you classify energy sources as

(a) Renewable and non-renewable?

(b) Exhaustible and inexhaustible?

Are the options given in (a) and (b) the same?

(a) Renewable and Non-Renewable

Renewable energy is defined as a source of energy that can be regenerated by nature. 

For example, solar energy, wind energy, wind, bio-mass, and so on.

Non-renewable energy is defined as a source of energy that does not regenerate itself in nature.

For example, coal, petroleum, natural gas, and other fossil fuels.