Question

The fundamental note produced by a closed organ pipe is of frequency v. The fundamental note produced by an open organ pipe of same length will be of frequency
A. `upsilon/2`
B. `upsilon`
C. `2upsilon`
D. `4upsilon`

Answer 1

Correct Answer - C
Let L be length of the pipe.
Fundamental frequency of closed pipe is
`upsilon_(C)=v/(4L)`…(i)
where v is the speed of sound in air
Fundamental frequency of open pipe of same length is
`upsilon_(O)=v/(2L)`…(ii)
Divide (ii) by (i), we get
`upsilon_(O)/(upsilon_(C))=2orupsilon_(O)=2upsilon_(C)=2upsilon`