Wave Mechanics Beats Question 25

Question: Two tuning forks have frequencies 380 and 384 Hz respectively. When they are sounded together, they produce 4 beats. After hearing the maximum sound, how long will it take to hear the minimum sound

[MP PMT/PET 1998]

Options:

A) $ \frac{1}{2} $ sec

B) $ \frac{1}{4} $ sec

C) $ \frac{1}{8} $ sec

D) $ \frac{1}{16} $ sec

Show Answer

Answer:

Correct Answer: C

Solution:

Beat period $ T=\frac{1}{n _{1}\tilde{\ }n _{2}}=\frac{1}{384-380}=\frac{1}{4}\sec $ .

Hence minimum time interval between maxima and minima $ t=\frac{T}{2}=\frac{1}{8}\sec .

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