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MHT CET 2023 (13 May, Shift 1) · Newton's Law of Gravitation

Newton's Law of Gravitation question from MHT CET 2023 (13 May, Shift 1)

Q9MHT CET 2023 · 13 MAY · SHIFT 1Medium

Newton's Law of Gravitation

If two identical spherical bodies of same material and dimensions are kept in contact, the gravitational force between them is proportional to $R^{x}$ , where $x$ is non zero integer [Given: $R$ is radius of each spherical body]

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Answer: (b)

Mass of each sphere $M \propto R^3$ (same density); separation of centres $= 2R$ .
$F = \frac{GM^2}{4R^2} \propto \frac{R^6}{R^2} = R^4$
So $x = 4$ , answer (b).

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