In a hydroelectric power station, the height of the dam is 10 m. How many kg of water must fall per second on the blades of a turbine in order to generate 1 MW of electrical power? Take $g = 10 m s^{- 2}$ .

$10^{3} k g s^{- 1}$

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$10^{4} k g s^{- 1}$

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$10^{5} k g s^{- 1}$

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$10^{6} k g s^{- 1}$

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Solution

The correct option is B
$10^{4} k g s^{- 1}$

Let $M k g$ of water fall per second.
Power, P = Rate at which work is done = $M a s s p e r s e c o n d \times g \times h = M g h$
But, $P = 1 M W = 10^{6} W$
$\Rightarrow M \times 10 \times 10 = 10^{6}$
$∴ M = 10^{4} k g s^{- 1}$
Hence, the correct choice is (b).

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In a hydroelectric power station, the height of the dam is 10 m. How many kg of water must fall per second on the blades of a turbine in order to generate 1 MW of electrical power? Take g=10 ms−2.

The correct option is B 104 kgs−1 Let M kg of water fall per second. Power, P = Rate at which work is done = Mass per second×g×h=Mgh But, P=1 MW=106W ⇒M×10×10=106 ∴M=104 kgs−1 Hence, the correct choice is (b).

In a hydroelectric power station, the height of the dam is 10 m. How many kg of water must fall per second on the blades of a turbine in order to generate 1 MW of electrical power? Take $g = 10 m s^{- 2}$ .