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The time period of a simple pendulum is 2 seconds. If its length is increased by 4-times, then its period becomes:

1. 16 s
2. 12 s
3. 8 s
4. 4 s

Correct answer: 4 s

Solution

The time period of a simple pendulum is proportional to the square root of its length (T ∝ √L). If the length is increased 4 times, the new time period becomes T' = T√4 = 2 × 2 = 4 seconds.

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