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A simple pendulum of length 0.4m has a period of 2s. What...

A simple pendulum of length 0.4m has a period of 2s. What is the period a similar pendulum of length 0.8m at the same place?

A.

8s

B.

4s

C.

2 $\sqrt{2}s$

D.

$\sqrt{2}s$

View answer & explanation

Correct answer is C

T₂ = $\sqrt{\frac{L^2 \times T_1^2}{L_1}}$

= $\sqrt{\frac{0.8 \times 2^2}{0.4}}$

= 2 $\sqrt{2}s$

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