Wave Mechanics Question 669
Question: Two sound sources $ S _{2} $ and $ S _{1} $ emit pure sinusoidal coherent waves in phase. If the speed of sound is 340 m/s, then find out the frequencies for which constructive interference occurs at P.
Options:
A) 170 Hz
B) 340 Hz
C) 510Hz
D) All of these
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Path difference, $ \Delta x=S _{2}P-S _{1}P=\sqrt{(2{{\sqrt{10}}^{2}}+3^{2}}-\sqrt{(4^{2}+3^{2})} $
$ =7-5=2m $ For constructive interference, $ \Delta x=n\lambda ,,wheren=1,2,3,……. $
$ \Rightarrow ,f=\frac{nv}{\Delta x}=\frac{1\times 340}{2},,\frac{2\times 340}{2},\frac{3\times 340}{2},….. $
$ =170,Hz,340,Hz,510,Hz….. $
BETA
