wave_mechanics Beats Question 48

Question: Two vibrating tuning forks produce progressive waves given by $ Y _{1}=4\sin 500\pi t $ and $ Y _{2}=2\sin 506\pi t. $ Number of beats produced per minute is

[CBSE PMT 2005]

Options:

A) 360

B) 180

C) 3

D) 60

Show Answer

Answer:

Correct Answer: B

Solution:

From the given equations of progressive waves $ {\omega _{1}}=500\pi $ and $ {\omega _{2}}=506\pi $ \ $ n _{1}=250 $ and $ n _{2}=253 $ So beat frequency $ =n _{2}-n _{1}=253-250=3 $ beats per sec \ Number of beats per min = 180.