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Questions  

Two pendulums of lengths 1.44 and 1 metre length start swinging together. After how many vibrations of the longer pendulum will  they  again start swinging  together ?

a
3
b
4
c
5
d
6

detailed solution

Correct option is C

Ti=2π1.44g&T2=2π1gLet shorter pendulum make n vibrations. Then longer will make one less than n to come in phase again i.e. nt2=2(n−1)t1 n×1=(n−1)1210n =6 n'=n−1=6−1=5

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