A source of sound placed at the open end of a | vedclass

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(A) In a resonance column,the closed end acts as a displacement node and a pressure antinode.At the closed end,the pressure variation due to the acous

Vedclass · Accepted Answer

$\frac{{\rho _A + \rho _0}}{{\rho _A - \rho _0}}$

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(A) In a resonance column,the closed end acts as a displacement node and a pressure antinode.At the closed end,the pressure variation due to the acoustic wave reaches its maximum amplitude ${\rho _0}$.The total pressure at any point is the sum of the atmospheric pressure ${\rho _A}$ and the pressure variation due to the sound wave.Therefore,the maximum pressure at the closed end is ${\rho _{\max }} = {\rho _A} + {\rho _0}$.The minimum pressure at the closed end is ${\rho _{\min }} = {\rho _A} - {\rho _0}$.The ratio of maximum to minimum pressure is given by $\frac{{{\rho _{\max }}}}{{{\rho _{\min }}}} = \frac{{{\rho _A} + {\rho _0}}}{{{\rho _A} - {\rho _0}}}$.

$A$ source of sound placed at the open end of a resonance column sends an acoustic wave of pressure amplitude ${\rho _0}$ inside the tube. If the atmospheric pressure is ${\rho _A},$ then the ratio of maximum and minimum pressure at the closed end of the tube will be

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