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NEET2012PhysicsWaves and SoundActual

Two sources of sound placed close to each other, are emitting progressive waves given by y₁=4 600 t and y₂=5 608 t An observer located near these two sources of sound will hear

Options

  1. A4 beats per second with intensity ratio 25: 16 between waxing and waning
  2. B8 beats per second with intensity ratio 25: 16 between waxing and waning
  3. C8 beats per second with intensity ratio 81: 1 between waxing and waning
  4. D4 beats per second with intensity ratio 81: 1 between waxing and waning

Correct answer

D. 4 beats per second with intensity ratio 81: 1 between waxing and waning

Step-by-step solution

Given, y₁=4 600 t and y₂=5 608 t Comparing with general equation y=a 2 f t we get, f₂=300 ~Hz and f₂=304 ~Hz Number of beats =f₂-f₁=4 ~s ⁻¹ aligned I_ I_ & = ( a₁+a₂ a₁-a₂ )^2 & = ( 4+5 4-5 )^2= 81 1 aligned

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