The wavelength of a wave in a medium is $0.5\text{ m}$. The phase difference between the oscillations at two…

The wavelength of a wave in a medium is $0.5\text{ m}$. The phase difference between the oscillations at two points in the medium due to this wave is $\frac{\pi}{5}$. What is the minimum distance between these points? [MP PMT 2013]
  1. 0.05 m
  2. 0.1m
  3. 0.25 m
  4. 0.15 m

Solution

Phase difference, $\Delta\phi = \frac{2\pi \Delta x}{\lambda} \Rightarrow \Delta x = \frac{\Delta\phi \lambda}{2\pi} = \frac{\pi}{5} \times \frac{0.5}{2\pi} = 0.15\text{ m}$

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