In a hydroelectric power plant, moving water is used for driving the wheels of a turbine to generate electricity. If the change in the kinetic energy of turbine is $3600 J$ in two minutes, then the power generated will be:

60 W

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180 W

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30 W

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100 W

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Solution

The correct option is C $30 W$
Given: Change in kinetic energy $= 3600 J$ , and time taken, $t = 2 m i n = 120 s$
Let the work done be $W$ .

The change in kinetic energy of turbine is equal to the work done.
$∴ W = 3600 J$

Power, $P = \frac{work done}{unit time}$
$\Rightarrow P = \frac{3600}{120} = 30 W$
Therefore, the power generated will be $30 W$

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Similar questions

Which one of the following statements about power stations is not true ?

(a) hydroelectric power stations use water to drive turbines

(b) in a power station, turbines drive generators

(d) in hydroelectric power stations and thermal power stations, alternators produce electricity

Statement 1: The turbine is used for generating electricity in thermal power plant, hydro power plant and geothermal power plant.

Statement 2: Because turbine converts one form of energy to mechanical energy which further produces electric energy.

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