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CGP EDU Academic Team
Published on: September 12, 2026
Two pendulums begin to swing simultaneously. If the ratio of the frequency of oscillations of the two is 7 : 8, then the ratio of lengths of the two pendulums will be
Text Solution
Verified by ExpertsThe correct answer is:
D
Suppose at $t=0$ , pendulums begins to swing simultaneously.
Hence, they will again swing simultaneously
if $n_{1} T_{1} = n_{2} T_{2}$
$\Rightarrow \frac{n_1}{n_2} = \frac{T_2}{T_1} = \sqrt{\frac{l_2}{l_1}} \Rightarrow \frac{l_1}{l_2} = \left(\frac{n_2}{n_1}\right)^2 = \left(\frac{8}{7}\right)^2 = \frac{64}{49}$
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