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Water falls from a height of 60 m at the...

Water falls from a height of `60 m` at the rate `15 kg//s` to operate a turbine. The losses due to frictional forces are `10%` of energy . How much power is generated to by the turbine? (g=10 m//s^(2))`.

A

8.1 kW

B

7.0 kw

C

10.2 kW

D

12.3 kW

Text Solution

Verified by Experts

The correct Answer is:
A
Power `=("Work")/("Time")`
When the water is lifted from the bottom to the terrace, its P.E. increases.
Increase in P.E. = mgh = work done
`therefore P = (W)/(t)=(mgh)/(t) " " therefore t=(mgh)/(P) " "` ….(1)
As 1 litre of water weighs 1 kg.
mass of water lifted = 500 kg.
and `P=5 kW = 5000` watt
`therefore t=(500xx10xx20)/(5000)=20 s`
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