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g(e) and g(p) denote the acceleration du...

`g_(e)` and `g_(p)` denote the acceleration due to gravity on the surface of the earth and another planet whose mass and radius are twice as that of earth. Then

Text Solution

Verified by Experts

Let the acceleration due to gravity of that planet be `g_(p)`
As , `g_(p) = (GM_(p))/(T_(p)^(2))`
According to the question
`M_(p) = 2M_(e) and R_(p) = 2R_(e)`
` :. g_(p) = (G 2M_(e))/(4R_(e)^(2))`
` :. G_(p) = 1/2 g_(e) " " [:. g_(e) = (GM_(e))/(R_(e)^(a))]`
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