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An open and closed organ pipe have the s...

An open and closed organ pipe have the same length the ratio pth mode of frequency of vibration of air in two pipe is

A

`P(2p+1)`

B

`(2p)/(2p-1)`

C

p

D

1

Text Solution

Verified by Experts

The correct Answer is:
c

The frequency of note produced in the pth mode of viration in open pipe is
`v_("open") =(2p-1)(v)/(4L)`
`therefore` Ratio of pth mode of frequency of vibration of air in two pipes is
`(V_("open"))/(v_("closed"))=(pv)/(2L)/(29-1)(v)/(4L)=(2p)/(2p-1)`
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