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AP EAMCET · PHYSICS · Waves and Sound

Two trains \(A\) and \(B\) are moving towards each other with speeds \(72 \mathrm{kmh}^{-1}\) and \(36 \mathrm{kmh}^{-1}\) respectively. The train \(A\) whistles at \(640 \mathrm{~Hz}\) frequency. Before the trains meet, frequency of sound heard by a passenger in Train \(B\) is
( Speed of sound in air \(=340 \mathrm{~ms}^{-1}\) ).

  1. A \(500 \mathrm{~Hz}\)
  2. B \(600 \mathrm{~Hz}\)
  3. C \(700 \mathrm{~Hz}\)
  4. D \(800 \mathrm{~Hz}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(700 \mathrm{~Hz}\)

Step-by-step Solution

Detailed explanation

Apparent frequency due to doppler's shift when both observer \(O\) and source are approaching to each other, is given by apparent frequency, \(f^{\prime}=f\left(\frac{v+v_0}{v-v_s}\right)\)...(i) Here, \(v_o=\) observers speed \(=36 \mathrm{~km} / \mathrm{h}\)…