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, v = 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 \[\Delta \,x=\frac{0.72}{2\pi }\times \frac{\pi }{3}\] \[\left( \therefore \,\Delta \phi ={{60}^{o}}=\frac{\pi }{3} \right)\] = 0.12 m = 12 cm
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