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Standard XII

Physics

Gravitational Potential of a Solid Sphere

The gravitati...

Question

The gravitational field due to a solid sphere of radius R and mass M at a point distant R/2 from the centre of the sphere is

Zero

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G M / 2 R^{2}

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G M / R^{2}

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4 G M / R^{2}

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Solution

The correct option is B $G M / 2 R^{2}$
The field due to a point at a distance x from the centre of a solid sphere is $g^{'} = G M x / R^{3}$
Substituting x = R/2, we get, $g^{'} = G M / 2 R^{2}$
The correct option is (b)

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Similar questions

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The gravitational field due to a solid sphere of radius R and mass M at a point distant R/2 from the centre of the sphere is

The correct option is B GM/2R2The field due to a point at a distance x from the centre of a solid sphere is g′=GMx/R3Substituting x = R/2, we get, g′=GM/2R2The correct option is (b)

The correct option is B $G M / 2 R^{2}$
The field due to a point at a distance x from the centre of a solid sphere is $g^{'} = G M x / R^{3}$
Substituting x = R/2, we get, $g^{'} = G M / 2 R^{2}$
The correct option is (b)