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  • Average density of the earthOption: 1 is directly proportional to gOption: 2 is inversely p

Average density of the earth

Option: 1

is directly proportional to g


Option: 2

is inversely proportional to g


Option: 3

does not depend on g


Option: 4

is a complex function of g


Answers (1)

best_answer

As we learnt

 

Density of earth -

 

\rho =\frac{3g}{4\pi GR}

\rho \rightarrow density of earth

g \rightarrow 9.8\; m/s^{2}

G \rightarrow Gravitational constant

 

- wherein

\rho =5478.4\; kg/m^{3}

 

 As g=\frac{GM}{R^2}\Rightarrow M=\frac{gR^2}{G}

density \rho = \frac{mass}{volume}=\frac{M}{\frac{4}{3}\pi R^3}

\rho = \frac{gR^2/G}{\frac{4}{3}\pi R^3}

\rho = \frac{3g}{4\pi GR}\Rightarrow \rho \: \alpha \: g

 

Posted by

shivangi.shekhar

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