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    If Earth's radius were reduced by 1% while its mass remained unchanged, what would be the effect on the gravitational acceleration at its surface?
    Question

    If Earth's radius were reduced by 1% while its mass remained unchanged, what would be the effect on the gravitational acceleration at its surface?

    A.

    Increase by approximately 1%

    B.

    Decrease by approximately 2%

    C.

    Increase by approximately 2%

    D.

    Decrease by approximately 1%

    Correct option is C

    The correct answer is (c) Increase by approximately 2%.
    • Gravitational acceleration g=GMR2g = \frac{GM}{R^2}g=R2GM​.
    • If radius decreases by 1%, ggg increases by about 2%.
    • Mass remaining constant leads to stronger surface gravity.
    Information Booster:
    • Gravitational acceleration on Earth ≈ 9.8 m/s².
    • Inverse square relationship applies between radius and gravity.
    • Small radius changes significantly affect gravity.
    Additional Knowledge:
    • This principle explains higher gravity on compact celestial bodies.
    • Gravity decreases with altitude above Earth’s surface.

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