In generation of hydroelectric power, water falls from some height and gravitational potential energy of water is converted into electric power with the help of turbine. In one such event, `7.2xx10^4kg` of water falls per hour from height 100m and half of the gravitational potential energy is converted into electric energy. How much power is generated?

Explanation

Lost potential energy`=mgh`
`=7.2 xx10^(4)xx10xx100`
`=7.2xx10^(7)J`
Electric energy produced `=(1)/(2)xx7.2xx10^(7)=3.6xx10^(7)`
Power produced `P=(3.6xx10^(7))/(t)=(3.6xx10^(7))/(3600)=10^(4)W`