1.

The acceleration due to gravity g and mean density of the earth rho are related by which of the following relations ? (Where G is the gravitational constant and R is the radius of the earth .)

Answer»

`rho=(3g)/(4pi GR )`
`rho=(3g)/(4pi GR^(3))`
`rho=(4pi gR^(2))/(3G)`
`rho=(4 PI gR^(3))/(3G)`

Solution :ACCELERATION DUE to gravity (g)`=Gxx(M)/(R^(2))`
`G((4//3)piR^(3)xxrho)/(R^(2))=Gxx(4)/(3)piRxxrho" or rho=(3g)/(4pi GR)`


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