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AP EAMCET201823 Apr 2018Evening ShiftPhysicsWaves and SoundActual

A source S emitting sound of frequency 288 ~Hz is fixed on block B which is attached to the free end of a spring S₂ and an observer O is on block A which is attached to the free end of spring S₁ as shown in the figure. The blocks A and B are simultaneously displaced towards each other through a distance of 0.5 ~m and then left to oscillate. If the angular velocity of each blocks is 40 rad s ⁻¹ , then the maximum freq

Options

  1. A288 Hz
  2. B310 Hz
  3. C324 Hz
  4. D256 Hz

Correct answer

C. 324 Hz

Step-by-step solution

Frequency is maximum, when both O and ' S ' are moving towards each other with maximum speeds. Now, maximum speed of O= maximum speed of S [and these two occur together]. =v_m=a =0.5 40=20 ~ms ⁻¹ So, maximum frequency aligned & =f_ =f ( v_ sound +v_ observer v_ sound -v_ source )=288 ( 340+20 340-20 ) & =324 ~Hz aligned

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