Question

A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their length is :

• A. 1 : 2
• B. 2 : 1
• C. 1 : 4
• D. 4 : 1

Answer 1

Answer: (A)

1 : 2

For an open organ pipe, fundamental tone,
${\nu }_O=\frac{v}{2L_O}$
For an open organ pipe, fundamental tone,
${\nu }_C=\frac{v}{4L_C}$
for,
${\nu }_O={\nu }_C$,
$\frac{L_C}{L_O}=\frac{1}{2}$,
Option A is correct.