A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities $\rho_1$ and
${\rho _{{2^\prime }}}$, respectively. The frequency of $9^{\text {th }}$ harmonic of closed tube is identical with $4^{\text {th }}$ harmonic of open tube. If the length of the closed tube is 10 cm and the density ratio of the gases is $\rho_1: \rho_2=1: 16$, then the length of the open tube is: