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Due to an infinite plane,

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gravitational potential is independent of distance from it.

gravitational potential depends linearly on distance from it.

gravitational field depends linearly on distance from it.

gravitational field is independent of distance from it.

answer is A, D.

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Detailed Solution

Gravitational field due to infinite plane sheet is $E = 2 π σ G$

Gravitational potential will be $V = - \int \overset{⇀}{E} . \overset{⇀}{d r}$

$∴ V = - 2 πσGr$

gravitational field is independent of r and potential directly proportional to r

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