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Q.

A motor pump of power 4 H.P is discharging water with a velocity of 5 ms−1 .  In order to discharge water with a velocity of 15 ms−1 , the power of the motor should be

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a

2 H.P

b

108 H.P

c

72 H.P

d

36 H.P

answer is B.

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Detailed Solution

P∝V3 P1P2=V13V23⇒4P2=(515)3=127 P2=27×4=108  H.P.
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A motor pump of power 4 H.P is discharging water with a velocity of 5 ms−1 .  In order to discharge water with a velocity of 15 ms−1 , the power of the motor should be