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The average density of the earth ______ (take G and the radius of the earth as fixed).

Asked in AIEEE 2005 · g from mass, radius and density

Answer: (1) is directly proportional to g

Step-by-step solution

For a sphere of uniform density, M=4/3π R³ρ.

Substituting into g=(GM)/(R²) gives g=4/3π Gρ R.

Rearranging, ρ=(3g)/(4π GR).

With G and R fixed, ρ∝ g.

Why the other options are wrong

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