If the radius of the Earth were doubled (mass unchanged), wh - MCQ (English) | ObjectiveMcq

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If the radius of the Earth were doubled (mass unchanged), wh - MCQ (English) | ObjectiveMcq

QuestionSSC CGL2023PhysicsMechanicsIf the radius of the Earth were dou...

SSC CGL2023Physics Mechanics

Medium

1,003 views

If the radius of the Earth were doubled (mass unchanged), what would happen to the value of g (acceleration due to gravity) at the surface?

Correct Answer: C — g would become one-fourth

Explanation:

$g = GM/R^2$ . If R doubles, $g$ becomes $GM/(2R)^2 = g/4$ . So g becomes one-fourth.

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