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Spheres of the same material and same ra...

Spheres of the same material and same radius `r` are touching each other. Show that gravitational force between them is directly proportional to `r^(4)`.

Text Solution

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`F = (Gm_(1)m_(2))/((2r)^(2)) = (G(""_(3)^(4)pir^(3)d)(""_(3)^(4)pi r^(3)d))/(4r^(2))`
`F = Kr^(4) " "F prop r^(4)`
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