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Two identical spheres each of mass M and...

Two identical spheres each of mass M and radius R are separated by a distance 3R. The force of attraction between them is proportional to

A

` 0.5`

B

` (2)/(3)`

C

` 2 `

D

` (1)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
D
The gravitational force .F between two masses ma and `m_B` is `F= (Gm _Am_B)/(d^(2))`
When the force of attraction is increased to 2 times, then ` (2Gm_Am_B)/(d^(2)) = (Gm_Am_B)/(x^(2))`
x is the new distance between the masses
` (x^(2))/(d^(2)) = (1)/(2) ,x^(2) =(1)/(2),x = sqrt((1)/(2)) = (1)/(sqrt2)`
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