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A wave has S.H.M whose period is 4 seconds while another wave which also possess SHM has its period 3 seconds. If both are combined, then the resultant wave will have the period equal to

1. 4 seconds
2. 5 seconds
3. 12 seconds
4. 3 seconds

Correct answer: 12 seconds

Solution

The resultant wave's period is determined by the least common multiple (LCM) of the individual periods. The LCM of 4 seconds and 3 seconds is 12 seconds, so the resultant wave will have a period of 12 seconds.

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