There are two bodies of masses 100 kg and 10,000 kg separated by a distance of 1 m. At what distance from
the smaller body, the intensity of gravitational field will be zero?

Options

A. `(1)/(9)m`
B. `(1)/(10)m`
C. `(1)/(11)m`
D. `(10)/(11)m`

Answer

C

Explanation

Gravitational intensity due to a mass = E
`therefore E=(G xx "Mass")/(("distance")^(2))` `therefore(G xx 100)/("x"^(2))=(G xx 10000)/((1-"x")^(2))` or `(1)/("x")=(10)/((1-"x"))`
or 10 x = 1 - x or `"x"=(1)/(11)m`