Question

The gravitational force between two bodies varies with distance $r$ as:

• A. $1/r$
• B. $1/r^2$
• C. $r$
• D. $r^2$

Answer 1

The correct option is B

$1/r^2$

Step 1: Given data

The gravitational force is expressed as

$F=G\frac{m_1\times m_2}{r^2}$

Where m₁ and m₂ are the masses and “r” is the distance between them.
G = Universal gravitational constant = $6.67\times {10}^{-11}N{m}^{2}K{g}^{-2}$

Step 2: Finding relation between force and r

$F\propto \frac{1}{r^2}$

Thus, the gravitational force between two bodies varies with distance as $\frac{1}{r^2}$.

Hence, the correct answer is option B.