Question

Find the ratio of fundamental frequency gopen closed organ pipes of same length.

Answer 1

Answer:

Let the velocity of sound wave and the length of the organ pipes be v and L respectively.

Frequency of pth mode of vibration of air in an open organ pipe is given as ν=

2L

pv

where, p=1,2,3,.......

Frequency of p

th

mode of vibration of air in a closed organ pipe is given as ν

′

=

4L

(2p−1)v

where, p=1,2,3,.......

∴ Ratio of the frequencies,

ν

′

ν

=

4L

(2p−1)v

2L

pv

⟹

ν

′

ν

=

2p−1

2p

Answer 2

Explanation:

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