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Q.

A particle is superposed with two SHMs simultaneously, in the same  direction.  One has a time period 4 s and the other has a time period 5 s. What is the time  period of the resultant periodic motion?

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a

4 s

b

5 s

c

20 s

d

10 s

answer is C.

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Detailed Solution

Since, individual motions are periodic, by Fourier theorem, resultant motion is  also periodic. LCM of 4 and 5 is 20. So, resultant motion has a time period = 20 s.
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