TS EAMCET · Physics · Waves and Sound
A whistle of frequency \(540 \mathrm{~Hz}\) rotates in a horizontal circle of radius \(2 \mathrm{~m}\) at an angular speed of \(15 \mathrm{rad} / \mathrm{s}\). The highest frequency heard by a listener at rest with respect to the centre of circle (velocity of sound in air \(=330 \mathrm{~ms}^{-1}\) )
- A \(590 \mathrm{~Hz}\)
- B \(594 \mathrm{~Hz}\)
- C \(598 \mathrm{~Hz}\)
- D \(602 \mathrm{~Hz}\)
Answer & Solution
Correct Answer
(B) \(594 \mathrm{~Hz}\)
Step-by-step Solution
Detailed explanation
Velocity of source \(v_s=r \omega=2 \times 15=30 \mathrm{~m} / \mathrm{s}\) The highest frequency heard by the stationary listener \(\begin{aligned} f^{\prime} & =f\left(\frac{v}{v-v_s}\right) \\ f^{\prime} & =540\left(\frac{330}{330-30}\right)=594 \mathrm{~Hz}\end{aligned}\)
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