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 [UPSEAT 2002]

• A.            \[\frac{({{\rho }_{A}}+{{\rho }_{0}})}{({{\rho }_{A}}-{{\rho }_{0}})}\]            
• B.            \[\frac{({{\rho }_{A}}+2{{\rho }_{0}})}{({{\rho }_{A}}-2{{\rho }_{0}})}\]
• C.            \[\frac{{{\rho }_{A}}}{{{\rho }_{A}}}\]                           
• D.            \[\frac{\left( {{\rho }_{A}}+\frac{1}{2}{{\rho }_{0}} \right)}{\left( {{\rho }_{A}}-\frac{1}{2}{{\rho }_{0}} \right)}\]