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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSound Waves

In a resonance column experiment, a tuning fork of frequency 400 Hz is utilized. The first resonance is noticed when the length of the air column is 20.0 cm , while the second resonance occurs when the air column length is 62.0 cm . Find the speed of sound in air.

Options

  1. A344 m s ⁻¹
  2. B320 m s ⁻¹
  3. C336 m s ⁻¹
  4. D352 m s ⁻¹

Correct answer

C. 336 m s ⁻¹

Step-by-step solution

Let L₁ and L₂ be the lengths of the air column for the first and second resonances respectively. L₁ = 20.0 cm = 0.20 m L₂ = 62.0 cm = 0.62 m f = 400 Hz The wavelength is given by: = 2(L₂ - L₁) The speed of sound v is: v = f = 2f(L₂ - L₁) Substituting the given values: v = 2 400 (0.62 - 0.20) v = 800 0.42 = 336 m s ⁻¹

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