A source of sound is moving towards a stationary observer with $\left(\frac{1}{10}\right)^{\text {th }}$ the…

A source of sound is moving towards a stationary observer with $\left(\frac{1}{10}\right)^{\text {th }}$ the of the speed of sound. The ratio of apparent to real frequency is
  1. $10:9$
  2. $11:10$
  3. $(11)^2:(10)^2$
  4. $(9)^2:(10)^2$

Solution

For source of sound moving towards a stationary observer, the apparent frequency is given by, $\mathrm{n}=\mathrm{n}_0 \times \frac{\mathrm{v}}{\mathrm{v}-\mathrm{v}_{\mathrm{S}}}$ $\begin{aligned} & \therefore \quad \frac{\mathrm{n}}{\mathrm{n}_0}=\frac{\mathrm{v}}{\mathrm{v}-\frac{\mathrm{v}}{10}} \\ & \therefore \quad \frac{\mathrm{n}}{\mathrm{n}_0}=\frac{10}{9} \end{aligned}$

Asked in: MHT CET 2023 (14 May Shift 2)

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