Suppose the earth was covered by an ocean of uniform depth h. h ≪ R . let σ be density of ocean and ρ be mean density of earth. Let ∆ g be the approximate difference of value of net acceleration due t

Question

Suppose the earth was covered by an ocean of uniform depth h. h ≪ R . let σ be density of ocean and ρ be mean density of earth. Let ∆ g be the approximate difference of value of net acceleration due to gravity between the bottom of the ocean and top Δ g = g t o p - g b o t t o m choose the correct option.

TestHub · Accepted Answer

g A = 4 3 G π R ρ g B = G 4 3 π ρ R 3 + 4 3 π R + h 3 - 4 3 πR 3 σ R + h 2 ≈ 4 3 G π ρ R 1 - 2 h R + 4 3 G π R + h - 1 - 2 h R R σ ∆ g = g B - g A = 4 3 π G h 3 σ - 2 ρ

Physics - Gravitation Question with Solution | TestHub

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