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The velocity of sound in a gas, in which two wavelengths 4 . 08 m and 4 . 16 m produce 40 beats in 12 s , will be

Options

  1. A282 . 8   m   s - 1
  2. B175 . 5   m   s - 1
  3. C353 . 6   m   s - 1
  4. D707 . 2   m   s - 1

Correct answer

D. 707 . 2   m   s - 1

Step-by-step solution

If the velocity of the sound in the medium is v then, f 1 = v 4 . 08 and f 2 = v 4 . 16 Now beat frequency, f b = Δ f = f 1 - f 2 = 40 12 = 10 3   Hz ⇒ v 1 4 . 08 - 1 4 . 16 = 10 3   Hz ⇒ 707 . 2   m   s - 1

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