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

Question

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 (A) 4 sec (B) 5 sec (C) 12 sec (D) 3 sec

Tardigrade Admin · Accepted Answer

Beats are produced. Frequency of beats will be (1/3)-(1/4)=(1/12) Hence time period = 12 s

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

4 sec

5 sec

12 sec

3 sec

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

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