Question

There are two bodies of masses 100 kg and 10000 kg separated by a distance 1 m. At what distance from the smaller body, the intensity of 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

$\frac{1}{11}m$

$\frac{G\times 100}{x^2}=\frac{G\times 10000}{(1-x{)}^2}\Rightarrow \frac{10}{x}=\frac{100}{1-x}\Rightarrow x=\frac{1}{11}m$