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MHT CET · Physics · Waves and Sound

What should be the length of a closed pipe to produce resonance with sound wave
of wavelength \(62 \mathrm{~cm}\), in fundamental mode?
[Neglect end correction]

  1. A \(31 \mathrm{~cm}\)
  2. B \(15 \cdot 5 \mathrm{~cm}\)
  3. C \(20 \cdot 6 \mathrm{~cm}\)
  4. D \(46 \cdot 5 \mathrm{~cm}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(15 \cdot 5 \mathrm{~cm}\)

Step-by-step Solution

Detailed explanation

(C)
In a closed pipe in fundamental mode the length of the pipe is \(\frac{\lambda}{4}\). \(\therefore \ell=\frac{62}{4}=15.5 \mathrm{~cm}\)