A decorative fountain must produce a vertical jet that rises above a circular nozzle…

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

A decorative fountain must produce a vertical jet that rises

4.0\,\text{m}

above a circular nozzle while delivering a steady volume flow rate of

7.5\,\text{L}\!\cdot\!\text{s}^{-1}

. Assuming ideal flow and negligible air resistance, what should be the diameter of the nozzle? (Take

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

and note that

1\,\text{L}=1\times10^{-3}\,\text{m}^{3}

.) (a)

1.6\,\text{cm}

(b)

3.3\,\text{cm}

(c)

5.8\,\text{cm}

(d)

3.9\,\text{cm}