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Two identical copper spheres of radius R...

Two identical copper spheres of radius `R` are in contact with each other. If the gravitational attraction between them is `F`, find the relation between `F` and `R`.

A

`R^(2)`

B

`R^(-2)`

C

`R^(4)`

D

`R^(-4)`

Text Solution

Verified by Experts

The correct Answer is:
C

Mass of sphere `m=sigma.4/3piR^(3) implies m prop R^(3)`
`F=(Gm^(2))/((2R)^(2))`
`F prop (R^(6))/(R^(2)) implies F prop R^(4)`
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