A simple pendulum of length L has a period T on Earth. If its length is quadrupled (4 L) and it is taken to the Moon where acceleration due to gravity is g/6, what is its new period?
Answer and explanation
Correct answer: C. 2 sqrt(6) T
- Step 1: Period formula: T = 2 pi sqrt(L / g). Step 2. New period: T' = 2 pi sqrt((4 L) / (g / 6)) = 2 pi sqrt(24 L / g). Step 3. T' = sqrt(24) T = sqrt(4 6) T = 2 sqrt(6) T. Answer: 2 sqrt(6) T. Why not the others: 4 T ignores gravity change; sqrt(6)T/2 inverts the gravity factor.
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