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Question: A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much w...

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

Answer

2 times

Explanation

Solution

P=work donetime=mghtP = \frac{\text{work done}}{\text{time}} = \frac{mgh}{t} ∴ P ∝ m

i.e. To obtain twice water from the same pipe in the same time, the power of motor has to be increased to 2 times.