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, 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: [22 Jan 2025 Shift 1]

Waves Part 2

Section: Physics

Question : 16 of 52

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A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities ρ1 and ρ2, respectively. The frequency of 9‌th ‌ harmonic of closed tube is identical with 4‌th ‌ harmonic of open tube. If the length of the closed tube is 10 cm and the density ratio of the gases is ρ1:ρ2=1:16, then the length of the open tube is:

[22 Jan 2025 Shift 1]

‌
15
7
‌cm
‌
20
9
‌cm
‌
15
9
‌cm
‌
20
7
‌cm

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