Question

There are two bodies of masses 100 kg & 10,000 kg separated by a distance 1m. At what distance from the 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

Let at a distance x intensity become zero so

I_A = I_B

$\frac { G ( 100 ) } { x ^ { 2 } }$ = $\frac { G ( 10,000 ) } { ( 1 - x ) ^ { 2 } }$

̃ x = $\frac { 1 } { 11 }$m