A) 0.36 m
B) 0.12 m
C) 0.18 m
D) 0.72 m
Correct Answer: B
Solution :
We know that Velocity \[\left( v \right)=\]frequency \[\left( n \right)\times \]wavelength\[\left( \lambda \right)\] Given, \[v=360\,m/s,\,n=500\,Hz\] \[\therefore \] \[\lambda =\frac{v}{n}=\frac{360}{500}=0.72\,m\] Also Phase difference \[\left( \Delta \phi \right)\] \[=\frac{2\pi }{\lambda }\times \]path difference\[\left( \Delta \,x \right)\] Given, \[\Delta \,\phi =\frac{\pi }{3}rad\] \[\therefore \] \[\Delta \,x=\frac{\lambda \,\Delta \,\phi }{2\pi }\] \[\Delta \,x=\frac{\lambda \,}{2\pi }\times \frac{\pi }{3}=\frac{\lambda }{6}=\frac{0.72}{6}=0.12\,m\]
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