An organ pipe P_1, closed at one end and containing a gas of density \rho_1 is vibrating in its first harmonic. Another organ pipe P_2, open at both ends and containing a gas of density \rho_2 is vibrating in its third harmonic. Both the pipes are in resonance with a given tuning fork. If the compressibility of gases is equal in both pipes, the ratio of the lengths of P_1 and P_2 is (assume the given gases to be monoatomic)

Correct Answer is : 16√ρ2ρ1

\frac{1}{6} \sqrt{\frac{\rho_1}{\rho_2}}

\frac{1}{6} \sqrt{\frac{\rho_2}{\rho_1}}

EAMCET Engineering 2010 Solved Paper

Section: Physics

Question : 91 of 160

Marks: +1, -0

An organ pipe P1, closed at one end and containing a gas of density ρ1 is vibrating in its first harmonic. Another organ pipe P2, open at both ends and containing a gas of density ρ2 is vibrating in its third harmonic. Both the pipes are in resonance with a given tuning fork. If the compressibility of gases is equal in both pipes, the ratio of the lengths of P1 and P2 is (assume the given gases to be monoatomic)

‌
1
3
3
‌
1
6
√‌
ρ1
ρ2
‌
1
6
√‌
ρ2
ρ1

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