Question

Jog Falls in Karnataka state are nearly 20 m high. 2000 tonnes of water falls from it in a minute. Calculate the equivalent power if all this energy can be utilized ? $(g=10m{s}^2)$

• A. $0.67\times {10}^3$ J/s
• B. $0.67\times {10}^6$ J/s
• C. $0.67\times {10}^{-7}$ J/s
• D. $0.67\times {10}^7$ J/s

Answer 1

The correct option is D $0.67\times {10}^7$ J/s

$h=20m$, and mass $=2000\times {10}^{3}kg=2\times {10}^{6}kg$
Power$=\frac{mgh}{t}=\frac{2\times {10}^6\times 10\times 20}{60}W$
$=\frac{4}{6}\times {10}^{7}W=\frac{2}{3}\times {10}^{7}W$