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JEE Advanced2013PhysicsWaves and SoundActual

Two vehicles, each moving with speed u on the same horizontal straight road, are approaching each other. Wind blows along the road with velocity w. One of these vehicles blows a whistle of frequency f 1 . An observer in the other vehicle hears the frequency of the whistle to be f 2 . The speed of sound in still air is V. The correct statement (s) is (are) :

Options

  1. AIf the wind blows from the observer to the source, f 2 > f 1 .
  2. BIf the wind blows from the source to the observer, f 2 > f 1 .
  3. CIf the wind blows from the observer to the source, f 2 < f 1 .
  4. DIf the wind blows from the source to the observer, f 2 < f 1 .

Correct answer

A. If the wind blows from the observer to the source, f 2 > f 1 .

Step-by-step solution

If wind blows from source to observer f 2 = v + w + u v + w - u f 1 &rArr; f 2 > f 1 If wind blows from observer to source f 2 = v - w + u v - w - u f 1 &rArr; f 2 > f 1

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