A) 0.72 cm
B) 120 cm
C) 12 cm
D) 7.2 cm
Correct Answer: C
Solution :
The relation between velocity, frequency and wavelength is given by \[v=n\lambda \] or \[\lambda =\frac{v}{n}\] Given, \[=360\,m/s,\,n=500\,Hz\] \[\therefore \] \[\lambda =\frac{360}{500}=0.72\,m\] Path difference \[=\frac{\lambda }{2\pi }\times \]phase difference i.e., \[\Delta x=\frac{\lambda }{2\pi }\times \Delta \,\phi \] or \[\Delta x=\frac{0.72}{2\pi }\times \frac{\pi }{3}\] \[\left( \therefore \,\Delta \phi \,\text{=}\,\text{6}{{\text{0}}^{o}}=\frac{\pi }{3} \right)\] \[=0.12\,m\] \[=12\,cm\]
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