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AP EAMCET · PHYSICS · Waves and Sound

A student holds a tuning fork oscillating at \(170 \mathrm{~Hz}\). He walks towards a wall at a constant speed of \(2 \mathrm{~ms}^{-1}\). The beat frequency observed by the student between the tuning fork and its echo is (Velocity of sound \(=340 \mathrm{~ms}^{-1}\) )

  1. A \(2.5 \mathrm{~Hz}\)
  2. B \(3 \mathrm{~Hz}\)
  3. C \(1 \mathrm{~Hz}\)
  4. D \(2 \mathrm{~Hz}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(2 \mathrm{~Hz}\)

Step-by-step Solution

Detailed explanation

From Doppler's effect, apparent frequency, \(n^{\prime}=\left(\frac{v+v_0}{v-v_0}\right) n\) or, \(n^{\prime}=\left(\frac{340+2}{340-2}\right) \times 170\) or, \(\quad n^{\prime}=\frac{342}{338} \times 170\) or \(\quad n^{\prime}=172.01=172 \mathrm{~Hz}\) Therefore, beat…