Two pendulums begins to swing simultaneously. first pendulum makes 11 full oscillations when other m

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13.Oscillations

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Two pendulums begins to swing simultaneously. The first pendulum makes $11$ full oscillations when the other makes $9$. The ratio of length of the two pendulums is

A

$11/9$

B

$9/11$

C

$81/121$

D

$121/84$

Solution

$11 \times 2 \pi \sqrt{\frac{\ell_{s}}{g}}=9 \times 2 \pi \sqrt{\frac{\ell_{\ell}}{g}}$

$121 C_{3}=81 \ell_{\ell}$

$\frac{\ell_{s}}{\ell_{\ell}}=\frac{81}{121}$

Standard 11

Physics

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