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NEET2022PhysicsWaves and SoundActual

An organ pipe filled with a gas at 27^ C resonates at 400 ~Hz in its fundamental mode. If it is filled with the same gas at 90^ C , the resonance frequency at the same mode will be:

Options

  1. A420 ~Hz
  2. B440 ~Hz
  3. C484 ~Hz
  4. D512 ~Hz

Correct answer

B. 440 ~Hz

Step-by-step solution

As per question, we have; frequency, f= v 4 l Hence, array l 4 l f₂ = v₁ v₂ 400 f₂ = T ₁ ~T ₂ 400 f₂ = 300 363 [ V T ] f₂ = 363 300 400 f₂ =440 ~Hz array

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