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Question

# Water flows through a horizontal tube of variable cross section. The area of cross section at A and B are 4 mm2 and 2 mm2 respectively. If 1 cc of water enters per second through A, find the speed of water at B?

A

25 cm/s

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B

50 cm/s

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C

25 mm/s

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D

50 mm/s

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Solution

## The correct option is B 50 cm/s Given 1 cm3 of water enters per second through A ⇒A1V1=1cm3s Taking Area in cm2 and velocity in cms Also, Area of cross section at A = 4 mm2 1cm=10mm ⇒4mm2=4100cm2 4100×VA=1 ⇒VA=1004=25cms Also from equation of continuity, AAVA=ABVB 4100×25=2100×VB VB=50cms

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