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Question

In a hydroelectric power plant, waterfalls at a rate of 1000 kg/s from a height of 100 m. Assuming that 50% of the energy of falling water is converted into electrical energy, calculate the power generated per second.(take g=9.8 ms2)


A

200000 W

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B

195000 W

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C

490000 W

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D

380000 W

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Solution

The correct option is C

490000 W


Mass of water falling per second = 1000 kg
Height = 100 m
Energy possessed by water per second = Potential energy = m × g × h = 1000 × 9.8 × 100 = 980000 J
It is mentioned that only 50% of the energy is converted into electrical energy.
So, the amount of Electrical energy generated per second= Total Energy × 50100 = 490000 J
we know that the power generated = energy generated per second = 490000 W


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