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:
Text Solution
Verified by ExpertsThe 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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