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JEE Main 2021 (24 Feb, Shift 2) · Doppler Effect

Doppler Effect question from JEE Main 2021 (24 Feb, Shift 2)

Q46JEE Main 2021 · 24 FEB · SHIFT 2Medium

Doppler Effect

Two cars are approaching each other at an equal speed of 7.2 km/hr. When they see each other, both blow horns having frequency of 676 Hz. The beat frequency heard by each driver will be ___________ Hz. [Velocity of sound in air is 340 m/s.]

Numerical answer type. Work it out, then open the answer.

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Answer: 8

  1. Speed of each car =7.2= 7.2 km/h =2= 2 m/s.
  2. Each driver is an observer approaching a source approaching him: f′=fv+uv−uf' = f\frac{v+u}{v-u}
  3. f′=676×342338=684f' = 676 \times \frac{342}{338} = 684 Hz
  4. Beat frequency =684−676=8= 684 - 676 = 8 Hz
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