The wavelength is $120\text{ cm}$ when the source is stationary. If the source is moving with relative…

The wavelength is $120\text{ cm}$ when the source is stationary. If the source is moving with relative velocity of $60\text{ ms}^{-1}$ towards the observer, then the wavelength of the sound wave reaching to the observer will be (velocity of sound $= 330\text{ ms}^{-1}$)
  1. $98\text{ cm}$
  2. $140\text{ cm}$
  3. $120\text{ cm}$
  4. $1440\text{ cm}$

Solution

Phase difference, $\Delta\phi = k \cdot \Delta x$ $\Rightarrow \Delta\phi = \frac{2\pi}{\lambda} \times \Delta x = \pi \times (3.5 - 3) = \frac{\pi}{2} \left(\because k = \frac{2\pi}{\lambda} = \pi\right)$

Practice more Waves and Sound questions on Aicharya