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Manipal MET2010PhysicsWaves and Sound

When the wavelength of sound changes from 1 m to 1.01 m , the number of beats heard are 4 . The velocity of sound is

Options

  1. A404 m/s
  2. B4.04 ~m / s
  3. C414 m/s
  4. D400 ~m / s

Correct answer

A. 404 m/s

Step-by-step solution

Let n₁ and n₂ be the frequencies of the two notes of wavelengths ₁ and ₂ . Here, ₁=1 ~m , ₂=1.01 ~m If v is velocity of sound, then n₁= v 1 and n₂= v 1.01 If the number of beats produced per second is b , then aligned & b=n₁-n₂ & 4= v 1 - v 1.01 & v= 4.04 0.01 =404 ~m / s aligned

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