Simple Harmonic Motion: Simple Pendulum MCQ

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Simple PendulumHardQuestion 31153

Question

A clock pendulum (T = 2 s on Earth's surface). Pendulum is taken to altitude h = R/2 (R = Earth's radius). New period approximately:

3 s

g ∝ 1/r². At height R/2: g' = g×R²/(3R/2)² = g×4/9. T' = T/√(4/9) = T × 3/2 = 3 s.