Wave Mechanics Question 672
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
Options:
A) 360
B) 180
C) 60
D) 3
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Equation of progressive wave is given by $ Y=A,\sin ,2\pi ft $ Given $ Y _{1}=4\sin 500\pi t $ and $ Y _{2}=2\sin 506\pi t $ Comparing the given equations with equation of progressive wave, we get $ 2f _{1}=500\Rightarrow f _{1}=250 $
$ 2f _{2}=506\Rightarrow f _{2}=253 $ Beats $ =f _{2}-f _{1}=253-250=3,beats/sec $
$ =3\times 60=180,beats/\min ute. $
BETA
