Physics Fluid Mechanics Velocity,Terminal Velocity and Coeficient of Viscocity,Viscocity of Fluids MCQ (Single Correct)

A piston of a syringe pushes a liquid with a speed of 1 cm/sec. The radii of the syringe tube and the needle are R = 1cm and r = 0.5 mm respectively. The velocity of the liquid coming out of the needle is:

A
2 cm/sec
B
20 cm/sec
C
10 cm/sec
D
None of these.

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Text Solution

Verified by Experts
The correct answer is:
B

According to the equation of continuity,

Av = av ′ ′

⇒ ⇒ v ′ ′ = (A/a) v

where A = π π R 2 and a = π π r 2 .

⇒ ⇒ v ′ ′ = v

= (1 cm/sec)

= 20 cm/sec.

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