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Two simple pendulums of lengths I m and 16 m respectively are both given small displacements in the same direction at the same instant. They will again be in phase after the shorter pendulum has completed n oscillations where n is:

a
1/4
b
4/3
c
5
d
4

detailed solution

Correct option is B

Let shorter pendulum makes n vibrations then longer makes (n-1) vibrations to come in phase again then nT1=n-1T2                                                                                                                                          nn-1=T2T1=161=4⇒n=43

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