If in a simple pendulum experiment the length of the inextensible string is increased by...

JAMB 1979

If in a simple pendulum experiment the length of the inextensible string is increased by a factor of four, its period is increased by a factor of

A. 4
B. \(\frac{\pi}{2}\)
C. \(\frac{1}{4}\)
D. 2\(\pi\)
E. 2

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Correct Answer: Option E

Explanation

In simple pendulum, T = 2\(\pi\)\(\sqrt\frac{L}{g}\)

\(\frac{T_2}{T_1}\) = \(\sqrt\frac{L_1}{L_2}\) but, L₂ = 4L₁

\(\frac{T_2}{T_1}\) = \(\sqrt\frac{L_1}{4L_1}\)

T₂ = 4T₁

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If in a simple pendulum experiment the length of the inextensible string is increased by...

Correct Answer: Option E

Explanation

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