Question

The value of quantity G in the formula for gravitational force :
(a) depends on mass of the earth only
(b) depends on the radius of earth only
(c) depends on both mass and radius of earth
(d) depends neither on mass nor on radius of earth

Answer 1

1. $F=\frac{G{m}_1{m}_2}{r^2}$ (Where F is force, m₁ is the mass of a body, m₂ is the mass of another body, G is the universal gravitational constant and r is the distance between them)
   
2. G is a universal gravitational constant.
3. The value of universal gravitational constant is $G=6.67\times {10}^{-11}\frac{N{m}^2}{k{g}^2}$ .
4. The value of G is a constant like other constants and is independent of factors such as medium, temperature pressure etc.
5. The value universal gravitational constant(G) is the same everywhere.
6. The value of the gravitational constant of the earth is independent of the mass and radius of the earth.

Hence, option (D) is correct, that G neither depends on mass nor on the radius of earth.