If a closed organ pipe has the same third harmonic frequency as that of an open organ pipe, then their…
If a closed organ pipe has the same third harmonic frequency as that of an open organ pipe, then their respective lengths are in the ratio [Kerala CEE 2015]
$1 : 1$
$1 : 2$
$1 : 4$
$3 : 4$
$4 : 5$
Solution
According to the question, $\frac{3v}{4l_c} = \frac{3v}{2l_o} \Rightarrow \frac{4l_c}{2l_o} = 1$
$\Rightarrow \frac{l_c}{l_o} = \frac{1}{2}$