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 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 ρ₁: ρ₂ = 1: 16, then the length of the open tube is:

Oscillations and Waves: JEE Main 2025 Physics question

JEE Main 2025 · 22 Jan, Morning shift · Q41

JEE Main 202522 Jan, Morning shiftPhysicsMediumOscillations and Waves185× since 2002

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:

JEE Main 2025 Oscillations and Waves Question with Solution (22 Jan Morning shift, Q41) | JEE Arc