GravitationHard

Question

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

Options

A.g′ = 3g   
B.g′ =
C.g′ = 9g
D.g′ = 27g

Solution

g = ⇒ g = G ρ π R
⇒ g ∝ R ⇒ ⇒ g′ = 3g

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