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Two speres of radii r and 2r touching e...

Two speres of radii r and 2r touching each other the force of attraction betweeen them is proportional

A

`r^(6)`

B

`r^(4)`

C

`r^(2)`

D

`r^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`F=(Gm_(1)m_(2))/(r+2r)^(2)=(Gm_(1)m_(2))/(9r^(2))`
i.e `F prop r^(-2)`
Note that `F prop r^(4)` by taking `m=4/3 pi r^(3) p` and then `F prop (r^(3)r^(3))/(r^(2))`
`F prop r^(4)` is not correct because the gravitational law obeys inverse square law and is not related with densities
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