A vertical cylindrical tank of cross-sectional area is filled with water to a depth of

PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

A vertical cylindrical tank of cross-sectional area

0.30\,\text{m}^{2}

is filled with water to a depth of

1.2\,\text{m}

. A small orifice of area

5.0\times10^{-4}\,\text{m}^{2}

is opened at the bottom of the tank. Take

g=9.8\,\text{m}\,\text{s}^{-2}

. (i) Calculate the initial speed of water leaving the orifice. (ii) Find the volume of water discharged in the first

10\,\text{s}

, assuming the water level does not change appreciably in this interval. (iii) Estimate the fall in water level inside the tank during these

10\,\text{s}

. (Give your answer correct to two significant figures.)