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If R is the radius of the earth and g th...

If `R` is the radius of the earth and `g` the acceleration due to gravity on the earth's surface, the mean density of the earth is

A

`4piG//3gR`

B

`3piR//4gG`

C

`3g//4piRG`

D

`piRG//12G`

Text Solution

Verified by Experts

The correct Answer is:
C
`g=(GM)/(R^(2))=(G.rho.4/3piR^(3))/(R^(2))=4/3rhoG piR`
`rho=(3g)/(4piRG)`
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