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A simple pendulum has a time period of $T = 4 \text{ s}$ on Earth. If it is taken to a planet where the acceleration due to gravity is $g' = \frac{g}{4}$, what will be its new time period $T'$?
- A.$2 \text{ s}$
- B.$4 \text{ s}$
- C.$8 \text{ s}$
- D.$16 \text{ s}$
Show correct answer & step-by-step solution
Correct answer: C — $8 \text{ s}$
Solution
The time period of a simple pendulum is . Since , if , then .
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