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If R is the radius of the earth and g is the acceleration due to gravity on the earth surface. Then the mean density of the earth will be:

Asked in NEET 2023 mpr · g from mass, radius and density

Answer: (3) (3g)/(4π RG)

Step-by-step solution

Surface gravity is g=(GM)/(R²), and a uniform earth has M=ρ×4/3π R³.

Substituting: g=G/(R²)×ρ4/3π R³=4/3π G Rρ.

Rearranging for the density.

ρ=(3g)/(4π GR).

Why the other options are wrong

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