Question

an organ open pipe 30cm long is sounded. if the velocity of sound is 330m/s what is the fundamental frequency of vibration of the air column ​

Answer 1

Answer:

Given: Velocity of sound in air v=330m/s

Length of the organ pipe L=0.3m

Fundamental frequency in an open organ pipe ν

1

=

2L

v

ν

1

=

2×0.3

330

=550Hz

Answer 2

Answer:

The fundamental frequency of vibration of the air column is 550Hz

Explanation:

Given that,

An organ open pipe 30cm long is sounded and the velocity of sound is 330m/s.We are required to find the fundamental frequency for the vibration of the air column.

The fundamental frequency of vibration of air column is the ratio of Speed of sound to wavelength.Hence we write it as

$f=\frac{v}{\lambda}$

For an open organ pipe the length of the pipe is half of the wavelength.Therefore,

$L=\frac{\lambda}{2} = > \lambda=2L$

Substituting this term in the above relation we get,

$f=\frac{v}{2L}$

Substituting the values of velocity of the sound and length of the organ pipe we get

$f=\frac{330m/s}{2\times0.3m} =550Hz$

Therefore,the fundamental frequency of vibration of the air column is 550Hz

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