Average density of the earth

does not depend on g

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is a complex function of g

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is directly proportional to g

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is inversely proportional to g

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Solution

The correct option is C is directly proportional to g
Average density of the earth, $ρ = \frac{3 g}{4 π R G}$

where, $R$ is the radius of the earth and $G$ is universal gravitational constant.

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The relation f is defined by

The relation g is defined by

Show that f is a function and g is not a function.

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