Question

If the distance between two bodies is doubled then the force of gravitation acting between them becomes_______times of its initial value.

• A. $1/4th$
• B. $1/8th$
• C. $1/3rd$
• D. two

Answer 1

Answer: (A)

$1/4th$

We know that,

$F_g=\frac{GMm}{(R{)}^2}$
According to question, the Distance between two bodies is doubled.

$F_g^{\prime }=\frac{GMm}{(2R{)}^2}$

On comparing above equations

$F_g^{\prime }=F_g/4$

ie, 1/4 times of initial value.