Science Class 9 Gravitation

Asked by GIANSH GUPTA KHUNDKER · BIRLA BRAINIACS

If the mass of the Earth remains constant but its radius shrinks by 1%, the value of the acceleration due to gravity g on its surface will:

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Answer: D. Increase by 2%

Correct Option: D) Increase by 2%
Explanation: g = GM/R^2. If R decreases, g increases because g is inversely proportional to R^2. For small changes, a 1% decrease in R gives about a 2 x 1% = 2% increase in g.

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