A pipe is open at both ends and 40 cm of its length is in resonance with an external frequency `1.1` kHz. If the speed of sound is `330ms^(-1)`, which

Question

A pipe is open at both ends and 40 cm of its length is in resonance with an external frequency `1.1` kHz. If the speed of sound is `330ms^(-1)`, which

A pipe is open at both ends and 40 cm of its length is
in resonance with an external frequency `1.1` kHz. If
the speed of sound is `330ms^(-1)`, which harmonic is in
resonance?
A. First
B. Second
C. Third
D. none

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 - d
Fundamental frequencyu of open pipe
First harmonic `=n_(1)=v/(2l)=(330)/(2xx0.4)=412.5` Hz
Frequency of nth harmonic of vibration
`v_(n)=n(v//2l)` Given `v_(n)=1.1kHz = 1100 Hz`
`rArr nxx (412.5)=1100 rArr n = 2.666`
`therefore` No harmonic is in resonance

4 views Answered 2023-02-05 15:29