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# If the fifth overtone of a closed pipe is in unison with the fifth overtone of an open pipe, then the ratio of the length of closed pipe to open pipe will be (a) 11:12 (b) 12:11 (c) 13:11 (d) 11:13

Arun
25763 Points
one year ago

3rd overtonr of closed = 2nd harmonic of open

$7\left [ \frac{V}{4l_{c}} \right ]= 2\left [ \frac{V}{l_{0}} \right ]$

$\frac{l_{c}}{l_{0}}= \frac{7}{4}$

Closed organ pipe -

A closed organ pipe is a cylindrical tube having an air colume with one end closed.

- wherein

Condition of constructive interference

$l=\left ( 2n+1 \right )\frac{\lambda }{4}$

Vikas TU
14149 Points
one year ago
means both have same frequency for closed pipe
f=11c/4l
for  open pipe
f=6c/2l
'11c/4l
=6c/2l
'l'/l=24/22=12/11Regards