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  4. A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to

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Q. A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to

NTA AbhyasNTA Abhyas 2020

Solution:

Power of a pump $=\frac{1}{2}\rho Av^{3}$
To get twice amount of water from same pipe $v$ has to be made twice. So power is to be made $8$ times