There are two bodies of masses `10^(3)` kg and `10^(5)` kg separated by a distance of 1 km. At what distance from the smaller body, the inensity of gravitational field will be zero

Options

A. 1/9 km
B. 1/10 km
C. 1/11 km
D. 10/11 km

Answer

C

Explanation

`(G xx 10^(3))/((r)^(2)) = (G xx 10^(5))/((1 -r)^(2))`
`(1)/(r^(2)) = (10^(2))/((1 - r)^(2))`
`(1)/(r) = (10)/(1 - r) rArr 10r = 1 - r `
`therefore r = (1)/(11) ` km