Two bodies of masses 50 kg and 200 kg are placed at a distance of 1m. The distance from the larger body at which the intensity of gravitational field will be zero is

Options

A. `(1)/(3) m`
B. `(2)/(3) m`
C. `(4)/(3) m`
D. `(5)/(3) m`

Answer

B

Explanation

`(G xx 50)/(x^(2)) = (G xx 200)/((1-x)^(2))`
`((1-x)/(x))^(2) = (200)/(50)`
`(1-x)/(x) = 2`
`1 - x = 2x " " rArr 3x = 1 rArr x = (1)/(3)`
`1 - x = (2)/(3)m`.
The distance from larger body is `(2)/(3)m`