A) 170 Hz
B) 340 Hz
C) 510Hz
D) All of these
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, \[\Delta x=n\lambda ,\,\,\,where\,\,n=1,\,\,2,\,\,3,.......\] \[\Rightarrow \,f=\frac{nv}{\Delta x}=\frac{1\times 340}{2},\,\frac{2\times 340}{2},\frac{3\times 340}{2},.....\] \[=170\,Hz,\,\,340\,Hz,\,\,510\,Hz.....\]
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