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A motor of power P0 is used to deliver water at a certain rate through a given horizontal pipe. To increase the rate of flow of water through the same pipe n times, the power of the motor is increased to P1. The ratio of P1 to P0 is :

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a
n : 1
b
n2 : 1
c
n3 : 1
d
n4 : 1

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detailed solution

Correct option is C

r=Vt=Av

P=Fv 

P=mtv2=ρVtrA2=ρr3A2

Pr3
P1=n3 P

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