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Imagine a new planet having the same den...

Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g', then

A

`g'=g/9`

B

g=27g

C

g'=9g

D

g'=3g

Text Solution

Verified by Experts

The correct Answer is:
D
`g=(GM)/(r^(2))" and "g.=(GM.)/(r^(2))[M.=3M]`
`(g.)/(g)=(3M)/(M) rArr g.=3g`.
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