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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, the power of motor has to be increased to:

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a

2 times

b

4 times

c

8 times

d

16 times

answer is C.

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Detailed Solution

Keeping all other factors the same, in order to deliver twice as much as water the velocity must be doubled.

Since, P=12ρAv3 on doubling the velocity the power will be increased to 8times.

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