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 $g = 10 m s^{- 2}$ .

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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).

Suggest Corrections

Similar questions

A hydroelectric power station takes its water from a lake whose water level is 50 m above the turbine. Assuming an overall efficiency of 40%, calculate the mass of water which must flow through the turbine each second to produce power output of 1 MW. (g = 10 ms^–2)

In a hydroelectric power plant, water falls at a rate of $1000 k g s^{- 1}$ from a height of $100 m$ . Assuming that 50% of the energy of falling water is converted into electrical energy, calculate the power generated. (Take $g = 10 m s^{- 2}$ )

Q. Water falls down a 500.0 m shaft to reach a turbine which generates electricity. How much water must fall per second in order to generate

1.00 \times 10^{9}

watts of power?(Assume 50% efficiency of conversion and

g = 10 m / s^{2}

)

Q. In a hydroelectric power station water is allowed to fall at the rate of

2000

kg per second on a turbine kept

100

m below the water level. Find kinetic energy of this water when it falls through a height of

25

From a waterfall, water pours down at the rate of $100 k g s^{- 1}$ on the blades of a turbine. If the height of the fall is 120 m, calculate the power delivered to the turbine?
(Given $g = 10 m s^{- 2}$ )

Join BYJU'S Learning Program

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 $g = 10 m s^{- 2}$ .