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  4. Wave has simple harmonic motion whose period is 4 seconds while another wave which also possesses simple harmonic motion has its period 3 sec. If both are combined, then the resultant wave will have the period equal to

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Q. Wave has simple harmonic motion whose period is $4$ seconds while another wave which also possesses simple harmonic motion has its period $3$ sec. If both are combined, then the resultant wave will have the period equal to

AIPMTAIPMT 1993Waves

Solution:

Beats are produced. Frequency of beats will
be $\frac{1}{3}-\frac{1}{4}=\frac{1}{12}$ Hence time period =$ 12\, s$