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?
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\(_1\)
There is an explanation video available below.
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