Waves Ques 65

65. 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

[1993]

(a) $4 $ seconds

(b) $5 $ seconds

(c) $12$ seconds

(d) $3 $ seconds

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Answer:

Correct Answer: 65.(c)

Solution:

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

Beat period (T) is the time interval between two successive beats.

$ T=\frac{1}{\text{ Beat frequency }}=\frac{1}{n_1-n_2} $