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If in a simple pendulum experiment the length of the inex...

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

View answer & explanation

Correct answer is E

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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