The value of quantity G in the law of gravitation(a) depends on mass of earth only(b) depends on radius of earth only(c) depends on both mass and radius of earth(d) is independent of mass and radius of the earth

The correct answer is (c) depends on both mass and radius of earth.

The law of gravitation, also known as Newton's law of universal gravitation, states that every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

This can be expressed as: F = G * (m1*m2/r^2)

Where:

• F is the force of attraction between the two bodies,
• m1 and m2 are the masses of the two bodies,
• r is the distance between the centers of the two bodies,
• G is the gravitational constant.

So, the value of G (the gravitational constant) is determined experimentally and is a universal constant. However, the force of gravity (F) that a body experiences due to the Earth (or any other celestial body) depends on both the mass of the Earth (or the celestial body) and the distance from the center of the Earth (or the celestial body), which is essentially the radius for objects on the surface of the Earth.