Two simple pendulums of lengths 1.44 ,m and 1, m start swinging together. After how many vibrations

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13.Oscillations

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Two simple pendulums of lengths $1.44 \,m$ and $1\, m$ start swinging together. After how many vibrations will they again start swinging together

A

$5$ oscillations of smaller pendulum

B

$6$ oscillations of smaller pendulum

C

$4$ oscillations of bigger pendulum

D

$6$ oscillations of bigger pendulum

Solution

(b) $n \propto \frac{1}{{\sqrt l }}$==> $\frac{{{n_2}}}{{{n_1}}}$$ = \sqrt {\frac{{1.44}}{1}} = \frac{{1.2}}{1}$==> ${n_2} = 1.2\,{n_1}$

For $n2$ be integer minimum value of $n1$ should be $5$ and then $n2 = 6$ i.e., after $6 $ oscillations of smaller pendulum both will be in phase.

Standard 11

Physics

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