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Physics · 2021

JEE Main · 16 March 2021, Shift 2 · Q30

A closed organ pipe of length L and an open organ pipe contain gases of densities ρ_1 and ρ_2 respectively. The compressibility of gases are equal in…

A closed organ pipe of length $\displaystyle L$ and an open organ pipe contain gases of densities $\displaystyle \rho_1$ and $\displaystyle \rho_2$ 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 $\displaystyle \frac{x}{3} \mathrm{~L} \sqrt{\frac{\rho_1}{\rho_2}}$ where $\displaystyle x$ is \_\_\_\_. (Round off to the Nearest Integer)
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JEE Main 2021 Physics question, with the answer from NTA’s final answer key. Where our answers come from.