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Question 31282
JEE Physics · Hard

Sound Waves: Doppler Advanced MCQ

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Doppler AdvancedHardQuestion 31282

Question

Two trains approach each other. Train A (100 km/h) has horn at 600 Hz. Train B (50 km/h). v_sound = 340 m/s. Frequency of A's horn heard by B's passengers:
  1. A
    660 Hz
  2. B
    676 Hz
    Correct
  3. C
    650 Hz
  4. D
    700 Hz

Correct answer

676 Hz

Explanation

v_A = 100/3.6 ≈ 27.8 m/s, v_B = 50/3.6 ≈ 13.9 m/s (toward source). f = 600 × (340+13.9)/(340−27.8) = 600 × 353.9/312.2 = 600 × 1.134 ≈ 680 Hz. Nearest: 676 Hz.

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