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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

given time period T1=4sec ⇒frequency1=14hertz time period T2=5sec ⇒frequency2=15hertz superposition leads to beats, beat frequency=f1-f2 fbeats=14-15 fbeats=120 time period of beats=20sec

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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?