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JEE Advanced2006PhysicsWaves and SoundActual

Paragraph: Two plane harmonic sound waves are expressed by the equations. aligned & y₁(x, t)=A (0.5 x-100 t) & y₂(x, t)=A (0.46 x-92 t) aligned (All parameters are in MKS) Question: How many times does an observer hear maximum intensity in one second?

Options

  1. A4
  2. B10
  3. C6
  4. D8

Correct answer

A. 4

Step-by-step solution

In one second number of maximas is called the beat frequency. Hence, f_b=f₁-f₂= 100 2 - 92 2 =4 ~Hz

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