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Average density of the earth...

Average density of the earth

A

is inversely proportional to g

B

does not depend upon g

C

is a complex function of g

D

is directly proportional to g

Text Solution

Verified by Experts

The correct Answer is:
D

`because g=(GM)/(R^(2))=(G)/(R^(2))[(4)/(3)pi R^(3)rho]` where `rho` is the average density of the earth
`=(4)/(3)pi rho RG`
`therefore rho=(3g)/(4pi RG)`. Thus `rho prop g`.
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