Question

If the distance between Arun and Ajay becomes 10 times of initial value, then the gravitational force between them becomes _____ times of the initial value.

• A. $100$
• B. $10$
• C. $\frac{1}{100}$
• D. $\frac{1}{10}$

Answer 1

The correct option is C $\frac{1}{100}$

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

So, if $r$ becomes $10$ times, $F$ becomes $\frac{1}{{10}^2}=\frac{1}{100}$ times