MCQ
An open pipe of length $33\, cm$ resonates to a frequency of $1000\,Hz$. The mode of   vibration is: (velocity of sound $= 330\, m/s$)
  • A
    Fundamental
  • The $2^{nd}$ harmonic
  • C
    The $3^{rd}$ harmonic
  • D
    The $4^{th}$ harmonic

Answer

Correct option: B.
The $2^{nd}$ harmonic
b
For open organ pipe

$f = \frac{{nv}}{{2l}} \Rightarrow 1000 = \frac{{n \times 330}}{{2 \times 33}} \times 100$

${2=n} $

$f = \frac{{2v}}{{2l}} \to {2^{nd}}$ harmonic 

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