Water falls through a height of in a hydroelectric dam at a volume flow rate of

PHYSICS · Single correct · CBSE · Physics · Work and Energy · Work and Energy

Problem

Water falls through a height of

50\,\text{m}

in a hydroelectric dam at a volume flow rate of

20\,\text{m}^3\!/\!\text{s}

. If the overall efficiency of conversion to electrical energy is

80\%

, calculate the electric power generated (density of water

=1000\,\text{kg}\!/\!\text{m}^3

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

). (a)

9.8\,\text{MW}

(b)

3.9\,\text{MW}

(c)

7.8\,\text{MW}

(d)

12.3\,\text{MW}