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Q.

The blades of a wndmill sweeps out a circle of area 'A'. If the wind flows at a velocity 'v' perpendicular to the circle (denisity of air = )    A)    the mass of the air passing through it in time 't' is AVt    B)    the kinetic energy of the air is      C)    If the windmill converts 25% of the wind energy into electrical energy and   then the electrical power produced is 4.5 kw

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a

A, B are true, C is false

b

A, B, C are false

c

A false, B & C are true

d

A, B, C are true

answer is D.

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Detailed Solution

Q = rate of volume flowm = rate of mass flow = ρQ = ρAVRate of generation of K.E. = 1/2 mV2 = 1/2 ρAv3.Total kinetic energy delivered to the air in time t = 1/2 ρ Av3 . t.Power = η x  1/2 ρ AV3= 0.25 x 1/2 x 1.2 x 30 x (36 x 5/18)3 W= 4.5 KW
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