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Q.

Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine.  The losses due to frictional force are 10% of the input energy.  How much power is generated by the turbine? (g = 10 m/ s2

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a

10.2 kW 

b

12.3 kW

c

 7.0 kW

d

 8.1 kW    

answer is C.

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Detailed Solution

detailed_solution_thumbnail

Given, h = 60m

Now, water falls at the rate of 15 kg is

i.e.,   mt=15kg/s

g = 10 m/s2 

As loss due to friction is 10%, therefore only 90% of input energy is used to generate power.

 mt×90100

P = 10 x 60 x 15 x 90100=8100 W P=8.1kW      

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