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Question: Answered & Verified by Expert
An observer moves towards a stationary source of sound with a speed $\frac{1}{5} t h$ that of sound. The frequency of the sound emitted by the source is $f$. The apparent frequency recorded by the observer is
PhysicsWaves and SoundTS EAMCETTS EAMCET 2023 (12 May Shift 2)
Options:
  • A $1.2 f$
  • B $f$
  • C $0.8 f$
  • D $2 f$
Solution:
2382 Upvotes Verified Answer
The correct answer is: $1.2 f$


$$
\mathrm{v}_0=\frac{\mathrm{v}}{5}
$$

Apparent frequency:
$$
\begin{aligned}
& \mathrm{v}=\frac{\text { Relative frequency of observer }}{\text { Relative frequency of source }} \times(\mathrm{f}) \\
& \mathrm{v}=\left(\frac{\frac{\mathrm{v}}{5}+\mathrm{v}}{\mathrm{v}}\right) \times(\mathrm{f}) \\
& =\frac{6 \mathrm{v}}{5 \mathrm{v}} \times \mathrm{f}=1.2 \mathrm{f}
\end{aligned}
$$

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