A closed organ pipe of length \( L \) and an open organ pipe contain gases of densities \( \rho_...

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A closed organ pipe of length \( L \) and an open organ pipe contain gases of densities \( \rho_{1} \) and \( \rho_{2} \) respectively.
The compressibility of gases are equal in both the pipes.
Both the pipes are vibrating in their first overtone with same
frequency. The length of the open pipe is \( \frac{x}{3} L \sqrt{\frac{\rho_{1}}{\rho_{2}}} \) where \( x \)
is (Round off to the Nearest Integer)
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