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Question: The time period of a simple pendulum is 2 sec. If its length is increased by 4 times, the period bec...

The time period of a simple pendulum is 2 sec. If its length is increased by 4 times, the period becomes

A

4 sec.

B

6 sec.

C

3 sec.

D

2 sec.

Answer

4 sec.

Explanation

Solution

T = 2πlg\sqrt{\frac{\mathcal{l}}{g}} = 2 sec.

Now, L = 4

∴ T’ = 2π 4lg\sqrt{\frac{4\mathcal{l}}{g}} = 4 sec.