Waves Ques 57

57. Two sound waves with wavelengths $5.0 $ $m$ and $5.5 $ $m$ respectively, each propagate in a gas with velocity $330 $ $m / s$. We expect the following number of beats per second

[2006]

(a) $0$

(b) $1$

(c) $6$

(d) $12$

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Answer:

Correct Answer: 57.(c)

Solution:

  1. (c) Frequencies of sound waves are $\frac{330}{5}$ and $\frac{330}{5.5}$

i.e., $66 $ $Hz$ and $60$ $ Hz$

Frequency of beat $=66-60=6$ per second

Beat frequency is the number of beats produced per second.

$ n=n_1 \sim n_2 $