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Obtain an expression for the average den...

Obtain an expression for the average density of the Earth.

Text Solution

Verified by Experts

We know that , `g=(GMm)/(R^(2))`
where `M=V_(rho),M=4/3piR^(3)rho " i.e,"g=((G)/(R^(2)))(4/3piR^(3)rho)`
`g=4/3piGRrho` and for an average density taken as constant, `g propR`
`:.rho=(3g)/(4piGR) " i.e., "rhoprop1/R`
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