A motor of power `P_(0)` 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 `P_(1)`. The ratio of `P_(1)` to `P_(0)` is

Options

A. `n : 1`
B. `n^(2) : 1`
C. `n^(3) : 1`
D. `1 : n^(3)`

Answer

C

Explanation

`P = A rho v^(3) rArr P alpha v^(3)`.