Q89 / 90 · JEE Main 2023 (10 Apr Shift 2) · Physics

Figure below shows a liquid being pushed out of the tube by a piston having area of cross section 2.0 cm2. The area of cross section at the outlet is 10 mm2. If the piston is pushed at a speed of 4 cm s-1, the speed of outgoing fluid is _____ cm s-1

Figure

Correct answer: 80

Solution

The given data is 

A1=2×10-4 m2A2=10×10-6 m2v1=4 cm s-1

Using equation of continuity which is a conservation of mass principle,

A1v1=A2v2

⇒v2=A1v1A2=2×10-4×410×10-6

= 80 cm s-1

Hence, the correct answer is 80.

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