A pump motor is used to deliver water at a certain rate from a given pipe of area of cross-section A. To obtain n times water from the pipe in the same time, the power of the motor should be increased by :

Q: A pump motor is used to deliver water at a certain rate from a given pipe of area of cross-section A. To obtain n times water from the pipe in the same time, the power of the motor should be increased by :

(a) n² P

(b) n³ P

(c) n P

(d) P