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If the mass and radius of the Earth are ...

If the mass and radius of the Earth are both doubled, then the accelration due to gravity g

A

ramains same

B

`(g)/(2)`

C

2g

D

4g

Text Solution

Verified by Experts

The correct Answer is:
B
`M_(E). = 2M_(E) and R_(E).= 2R_(E)`
Acceleration due to gravity `g.= (GM_(E).)/(R_(E)2)=(2GM_(E))/(4R_(E)^(2)),g.=(1)/(2)((GM_(E))/(R_(E)^(2)))(g)/(2)`
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