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A closed organ and an open organ tube filled by two different gases having same bulk modulus but different densities ρ 1 and ρ 2 respectively. The frequency of 9 th harmonic of closed tube is identical with 4 th harmonic of open tube. If the length of the closed tube is 10 cm and the density ratio of the gases is ρ 1 : ρ 2 = 1 : 16, then the length of the open tube is :

1. 7 20 cm
2. 7 15 cm
3. 9 20 cm
4. 9 15 cm

Correct answer: 9 20 cm

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