If the phase difference between two waves is 60°, then find the value of path difference between them.

If the phase difference between two waves is 60°, then find the value of path difference between them.

Solution

Sol. Given, $\Delta\phi = 60^\circ = \pi/3$ As, $\Delta\phi = \dfrac{2\pi}{\lambda}\times\Delta x$ $\Rightarrow\quad \Delta x = \dfrac{\Delta\phi}{2\pi}\times\lambda = \dfrac{\lambda\times\pi}{3\times 2\pi}\quad\Rightarrow\quad \Delta x = \dfrac{\lambda}{6}$ Answer: $\dfrac{\lambda}{6}$

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