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Q.

A liquid enters a tube of variable cross section with a velocity 3ms−1 through the wider end and leaves from the narrower end whose radius is half of the wider one. The velocity with which it leaves the tube is

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a

1.2ms−1

b

12ms−1

c

10ms−1

d

20ms−1

answer is B.

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Detailed Solution

A1V1=A2V2 πr12v1=πr22v2 r2×3=r24v2 v2=12ms−1

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A liquid enters a tube of variable cross section with a velocity 3ms−1 through the wider end and leaves from the narrower end whose radius is half of the wider one. The velocity with which it leaves the tube is