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Q.

Volume of the liquid flowing per second through a pipe of diameter d is V. At a point where the radius is d, the velocity of flow is  

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a

Vd2

b

Vπd2

c

4wπd2

d

V4πd2

answer is B.

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Detailed Solution

Using V=πr2vv=Vπd2

 At radius rVolume flow rate of flowing fluid V1=πr2× velocity  V1=πr2×v Where, radius becomes double or equal to the diameter  and velocity becomes 2v then volume flow rate  V2=π4r2×2v V2=8V1

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Volume of the liquid flowing per second through a pipe of diameter d is V. At a point where the radius is d, the velocity of flow is