Question

There are two bodies of masses $100kg$ and $10000kg$ separated by a distance $1m$. At what distance from the smaller body, the intensity gravitational field will be zero?

• A. $\frac{1}{9}m$
• B. $\frac{1}{10}m$
• C. $\frac{1}{11}m$
• D. $\frac{10}{11}m$

Answer 1

The correct option is C $\frac{1}{11}m$

Gravitational field intensity of a point mass is given by:

$g=\frac{GM}{R^2}$ towards the mass

Given net gravitational field is zero at point $P$ say, $r$ distance from the smaller mass.

$g_A=g_B$

$\frac{G\times 100}{r^2}=\frac{F\times 10000}{(1-r{)}^2}$

Solving, $r=\frac{1}{11}m$