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Questions  

A particle is superposed with three SHMs simultaneously, in the same direction.  Their time periods are 2 s, 3 s, 4s respectively. Then the time period of the resultant  periodic motion is

a
9 s
b
12 s
c
13 s
d
24 s

detailed solution

Correct option is B

Since, individual motions are periodic, by Fourier theorem, resultant motion is also   periodic. LCM of 2, 3 and 4 is 12. So, resultant motion has a time period = 12 ssuperposition of 3 Simple harmonic motions leads to beats, resultant beat time period =12 sec

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