Average density of the earth: - Physics MCQ AIEEE 2026 | ExamTest.live | ExamTest.live

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Average density of the earth:

A $does not depend on g$
B $is a complex function of g$
C $is directly proportional to g$
D $is inversely proportional to g$

Solution & Step-by-step Explanation

The acceleration due to gravity at the surface of the Earth is g = \frac{GM}{R ^{2}} .Mass M = Density (ρ) \times Volume = ρ \times \frac{4}{3} π R^{3} . g = \frac{G \cdot ρ \cdot \frac{4}{3} π R ^{3}}{R ^{2}} g = \frac{4}{3} π GRρ ⟹ ρ = \frac{3 g}{4 π GR} Since G, R are constants, ρ \propto g .

Practice this question

Try it yourself before checking the explanation above.

Average density of the earth:

A

does not depend on g

B

is a complex function of g

C

is directly proportional to g

D

is inversely proportional to g

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