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  4. An open organ pipe of length 33 cm, vibratos with frequency 1000 Hz. If velocity of sound in 330 m/s. Then its frequency is:

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Q. An open organ pipe of length $33 \,cm,$ vibratos with frequency $1000 \,Hz$. If velocity of sound in $330 \,m/s$. Then its frequency is:

Rajasthan PMTRajasthan PMT 2002

Solution:

Fundamental frequency
$n_{1} =\frac{v}{2 l} $
$=\frac{330}{2 \times 33 \times 10^{-2}}$
$=500 \,Hz$
Frequency of Ist overtone
$=2 \frac{v}{2 l}=2 \times 500$
$=1000\, Hz$