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Physics · GRAVITATION
हिन्दीIn the given diagram, a point mass \( m \) is located at depth \( d \) from the Earth's surface. What fraction of the Earth's total mass \( M_E \) contributes to the gravitational force acting on this mass, assuming uniform density?
Correct answer · Option 3
\( (\frac{R_E - d}{R_E})^3 \)
Explanation
Only the inner sphere of radius \( (R_E - d) \) exerts a net gravitational force. For uniform density, its mass is \( M_s = M_E (\frac{R_E - d}{R_E})^3 \).
