There are two bodies of masses 100 kg and 10,000 kg separated by a distance of 1m. At 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
`:. E = (G xx Maxx)/(("distance ")^(2)) :. (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 `