Question

Force of gravitation between two masses is found to be $F$ in vacuum. If both the masses are dipped in water at same distance then, new force will be

• A. $>F$
• B. $<F$
• C. $F$
• D. cannot say

Answer 1

The correct option is C $F$

As per law of gravitation,

$F=\frac{G{m}_1{m}_2}{r^2}$

Hence, $F\propto G,F\propto m_1{m}_2$ & $F\propto \frac{1}{r^2}$

Since distance $r$ between masses doesn't change in water and masses of bodies is same

Thus, $F_{water}\propto G$

We know that $G$ is a universal constant, and independent of medium.

$\therefore F_{vacuum}=F_{water}$

Hence, option $\left(c\right)$ is constant.