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JEE Main 2019 (9 Apr, Shift 2) · Doppler Effect

Doppler Effect question from JEE Main 2019 (9 Apr, Shift 2)

Q52JEE Main 2019 · 9 APR · SHIFT 2Easy

Doppler Effect

Two cars A and B are moving away from each other in opposite directions. Both the cars are moving with a speed of 20 ms–1 with respect to the ground. If an observer in car A detects a frequency 2000 Hz of the sound coming from car B, what is the natural frequency of the sound source in car B?

(speed of sound in air = 340 ms–1) :-

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Answer: (c)

  1. Moving apart: n′=nv−vov+vsn' = n\frac{v - v_o}{v + v_s}.
  2. 2000=n×340−20340+20=n×892000 = n \times \frac{340 - 20}{340 + 20} = n \times \frac{8}{9}
  3. n=2000×98=2250n = 2000 \times \frac{9}{8} = 2250 Hz. So the answer is (c) 2250 Hz.
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