A simple pendulum is taken to 64 km above the earth's surface. Its new time period will

Question

A simple pendulum is taken to 64 km above the earth's surface. Its new time period will, increase by 1 %, decrease by 1 %, increase by 2 %, decrease by 2 %

MARKS App · Accepted Answer

T = 2 π l g = 2 π ℓ ( R + h ) 2 G M T ∝ ( R + h ) or T T = R + h R = 1 + h R = 1 + 1 100 ∴ T ' T - 1 = 1 100 ∴ T ' - T T × 100 = 1 Time period will increase by 1 %

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