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TS EAMCET · Physics · Waves and Sound

A whistle of frequency \(660 \mathrm{~Hz}\) moves in a circle of radius \(1 \mathrm{~m}\) at an angular speed of \(10 \mathrm{rad} / \mathrm{s}\). The highest frequency heard by a listener at a long distance and at rest with respect to the center of the circle is (Let speed of sound \(=340 \mathrm{~m} / \mathrm{s}\).)

  1. A \(700 \mathrm{~Hz}\)
  2. B \(640 \mathrm{~Hz}\)
  3. C \(720 \mathrm{~Hz}\)
  4. D \(680 \mathrm{~Hz}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(680 \mathrm{~Hz}\)

Step-by-step Solution

Detailed explanation

Given, frequency whistle \(f_0=660 \mathrm{~Hz}\), speed of sound \(=340 \mathrm{~m} / \mathrm{s}\) angular speed of whistle, \(\omega=10 \mathrm{rad} / \mathrm{s}\) and radius of circle, \(r=1 \mathrm{~m}\). Since, we know that the maximum frequency heard by listener, if…