Question

The value of quantity G in the law of gravitation

• A. depends on the mass of the earth only
• B. depends on the radius of the earth only
• C. depends on both the mass and radius of the earth
• D. is independent of the mass and radius of the earth

Answer 1

The correct option is D

is independent of the mass and radius of the earth

Correct Option:

Option D:

1. According to the universal law of gravitation, every particle 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 their distance.
2. The force F between two bodies of mass m₁ and m₂ separated by distance r is

$F=G\frac{m_1{m}_2}{r^2}$

1. G in this formula is the universal gravitational constant.
2. The value of G is $6.67430\times {10}^{-11}\frac{N·m^2}{k{g}^2}$.

Wrong option

(A) depends on the mass of the earth only

1. The value of G does not depend upon the mass of the earth.
2. It is constant for all masses in the universe.

(B) depends on the radius of the earth only

1. The value of G does not depend on the radius of the earth.
2. It does not change with the size or mass of the object.

(C)depends on both the mass and radius of the earth

1. G is constant in the universe.
2. It does not change with any parameter
3. It remains the same for each and every object.

Hence the correct option is (D) is independent of the mass and radius of the earth.