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Waves question

2021 · 16 Mar · Shift 2 · Q67
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Waves question

2021 · 16 Mar · Shift 2 · Q67

JEE MainPhysicsWavesNumerical+4 / −1
A closed organ pipe of length L and an open organ pipe contain gases of densities ρ\rhoρ 1 and ρ\rhoρ 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 x3Lρ1ρ2{x \over 3}L\sqrt {{{{\rho _1}} \over {{\rho _2}}}}3x​Lρ2​ρ1​​​ where x is ‾\underline{\hspace{2cm}}​. (Round off to the Nearest Integer)
Numerical answer
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