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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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