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JAMB Physics 2020 Paper

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Question : 4

Total: 38

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?

4
$\frac{\pi}{2}$
$\frac{1}{4}$
2

Solution:

In a simple pendulum, T = 2 $\pi$ $\sqrt{\frac{L}{g}}$

$\frac{T_1}{T_2} = \sqrt{\frac{L_1}{L_2}}$ but L $_{2}$ = 4L $_{1}$

$\frac{T_1}{T_2} = \sqrt{\frac{L_1}{4L_1}}$

T $_{2}$ = 2T $_{1}$

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