Question

There are $2$ bodies of masses $100\, kg$ and $1000\,kg$ separated by a distance $1\,m$. At what distance from 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

Answer: (C)

$\frac{1}{11}m$

Answer 2

Here $\frac{G \times 1000}{(1-x)^2} = \frac{G \times 100}{x^2}$ i.e. $\frac{1}{x} = \frac{10}{1 - x}$ i.e. $1 - x = 10x$ i.e. $x = \frac{1}{11} m$