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If two spheres of same material and same radius r are touching each other, then show that the gravitational force between them is directly proportional to `r^4`

Text Solution

Verified by Experts

`F = (Gm_(1) m_(2))/r^2`
`=G/r^2 [(4/3pir^2rho)(4/3pir^2 rho)]`
`=(4/9pi^2rho^2G)r^4`
`:. F alpha r^4`
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