Physics

Physics

Problem

A pipe of length ℓ1\ell_1 , closed at one end is kept in a chamber of gas of density ρ1\rho_1 . A second pipe open at both ends is placed in a second chamber of gas of density ρ2\rho_2 . The compressibility of both the gases is equal. Calculate the length of the second pipe if frequency of first overtone in both the cases is equal. a. 43ℓ1ρ2ρ1\frac{4}{3}\ell_1\sqrt{\frac{\rho_2}{\rho_1}} b. 43ℓ1ρ1ρ2\frac{4}{3}\ell_1\sqrt{\frac{\rho_1}{\rho_2}} c. ℓ1ρ2ρ1\ell_1\sqrt{\frac{\rho_2}{\rho_1}} d. ℓ1ρ1ρ2\ell_1\sqrt{\frac{\rho_1}{\rho_2}}

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