Two simple pendulums whose lengths are 100 cm and 121 cm are suspended side by side. Their bobs are pulled together and then released. After how many minimum oscillations of the longer pendulum, will the two be in phase again?
Text Solution
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Let
and
be the time period of the two pendulums,
and
because 
Let at
, they start swinging together. Since, their time periods are different, the swinging will not be same always. Only when number of completed oscillation differs by an integer, the two pendulums will again begin to swing together.
Let longer length pendulum completes
oscillation and shorter length pendulum completes
oscillation, for the two, to be in same phase, then
.


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