JEE Main & Advanced
Physics
Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन
Question Bank
Self Evaluation Test - Mechanical Properties of Fluids
question_answer
Equal volumes of two immiscible liquids of densities \[\rho \] and \[2\rho \] are filled in a vessel as shown in figure. Two small holes are punched at depth \[h/2\]and \[3h/2\] from the surface of lighter liquid. If\[{{v}_{1}}\] and \[{{v}_{2}}\] are the velocities of a flux at these two holes, then \[{{v}_{1}}/{{v}_{2}}\]is
A)\[\frac{1}{2\sqrt{2}}\]
B)\[\frac{1}{2}\]
C)\[\frac{1}{4}\]
D)\[\frac{1}{\sqrt{2}}\]
Correct Answer:
D
Solution :
[d] \[{{v}_{1}}=\sqrt{2}g(h/2).\] For \[{{v}_{2}}\] we can replace the liquid of density\[\rho \] and height h to a liquid of density \[2\rho \] and height\[h/2\] Thus \[{{v}_{2}}=\sqrt{2gh}=\sqrt{2v}\].