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AP EAMCET2016PhysicsWaves and Sound

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

Options

  1. A2.5 ~Hz
  2. B3 ~Hz
  3. C1 ~Hz
  4. D2 ~Hz

Correct answer

D. 2 ~Hz

Step-by-step solution

From Doppler's effect, apparent frequency, n^ = ( v+v₀ v-v₀ ) n or, n^ = ( 340+2 340-2 ) 170 or, n^ = 342 338 170 or n^ =172.01=172 ~Hz Therefore, beat frequency observed (172-170)=2 ~Hz

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