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Standard XII

Physics

Flux as the Flow

The gravitati...

Question

The gravitational field due to a hollow sphere at a distance of 3R/2 from the centre of the sphere is F. What is the gravitational field at the surface of the sphere

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9F/4

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4F/9

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Solution

The correct option is B 9F/4
The field at a distance of 3R/2 is $F = G M / (3 R / 2)^{2} = 4 G M / 9 R^{2}$
The field at a distance of R (on the surface of the sphere is) is $F^{'} = G M / R^{2} = G M / R^{2}$
Dividing one by the other, we get, F'/F = 9/4 or $F^{'} = 9 F / 4$
The correct option is (b)

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The gravitational field due to a hollow sphere at a distance of 3R/2 from the centre of the sphere is F. What is the gravitational field at the surface of the sphere

The correct option is B 9F/4The field at a distance of 3R/2 is F=GM/(3R/2)2=4GM/9R2The field at a distance of R (on the surface of the sphere is) is F′=GM/R2=GM/R2Dividing one by the other, we get, F'/F = 9/4 or F′=9F/4The correct option is (b)