An orgen pipe open at one end is vibrating in first overtone and is in resonance with another pipe open at both ends and vibrating in third harmonic.

Question

An orgen pipe open at one end is vibrating in first overtone and is in resonance with another pipe open at both ends and vibrating in third harmonic.

An orgen pipe open at one end is vibrating in first
overtone and is in resonance with another pipe open
at both ends and vibrating in third harmonic. The ratio
of length of two pipes is
A. `3 : 8`
B. `8 : 3`
C. ` 1 : 2`
D. `4 : 1`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - c
For an organ pipe open at one end,
frequency of 1st overtone, `n_(1)=(3v)/(4l)`
For the organ pipe open at both ends,
Frequency of 3rd harmonic, `n_(2)=(3v)/(2l_(2))`
As `n_(1) = N_(2)`
`therefore (3v)/(4l_(1))=(3v)/(2l_(2)) rArr l_(1)/l_(2)=2/4=1/2`

4 views Answered 2023-02-05 15:29