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

Question

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 (A) 16 times (B) 4 times (C) 8 times (D) 2 times

Tardigrade Admin · Accepted Answer

Power of a pump =(1/2)ρ Av3 To get twice amount of water from same pipe v has to be made twice. So power is to be made 8 times

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

$16$ times

$4$ times

$8$ times

$2$ times

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

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

16 times

4 times

8 times

2 times

Power of a pump =21​ρAv3 To get twice amount of water from same pipe v has to be made twice. So power is to be made 8 times

$16$ times

$4$ times

$8$ times

$2$ times

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