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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

12.3 kW

B

7 kW

C

8.1 kW

D

10.2 kW

Text Solution

Verified by Experts

The correct Answer is:
C
(c ) Power given to turbine `=(mgh)/(t)`
`P_("in")=((m)/(t))xxgxxh rArrP_("in")=15xx10xx60`
`rArrP_("in")=9000" W" rArr P_("in")=9" k W"`
As effeciency of turbine is 90% therefore power generated
=90 % of 9`" k W"`
`P_(out)=9xx(90)/(100)rArr P_(out)=8.1" kW"`.
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