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:
- (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} $