Physics Simple Harmonic Motion (Oscillations) All Topic Question for Revision Test MCQ (Single Correct)

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?

A
11
B
10
C
21
D
20

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Text Solution

Verified by Experts
The correct answer is:
B

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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