Wave Mechanics Beats Question 38

Question: Two sound waves of wavelengths 5m and 6m formed 30 beats in 3 seconds. The velocity of sound is

[EAMCET 2001]

Options:

A) 300 ms?1

B) 310 ms?1

C) 320 ms?1

D) 330 ms?1

Show Answer

Answer:

Correct Answer: A

Solution:

No of beats, x = $ \Delta n=\frac{30}{3}=10Hz $

Therefore Also $ \Delta n=v[ \frac{1}{{\lambda _{1}}}-\frac{1}{{\lambda _{2}}} ]=v[ \frac{1}{5}-\frac{1}{6} ] $ =10

Therefore $ v=300 $ m/s