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Physics · 2025

JEE Main · 22 January 2025, Shift 1 · Q33

A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities ρ_1 and ρ_2, respectively.…

A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities $\displaystyle \rho_1$ and $\displaystyle \rho_2$, respectively. The frequency of $\displaystyle 9^{\text {th }}$ harmonic of closed tube is identical with $\displaystyle 4^{\text {th }}$ harmonic of open tube. If the length of the closed tube is $\displaystyle 10$ cm and the density ratio of the gases is $\displaystyle \rho_1: \rho_2=1: 16$, then the length of the open tube is :
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JEE Main 2025 Physics question, with the answer from NTA’s final answer key. Where our answers come from.