Q. A horizontal pipe of cross-sectional diameter 5 cm carries water at velocity of $4\ {ms}^{- 1}$. The pipe is connected to a smaller pipe with a cross-sectional diameter 4 cm. the velocity of water through the smaller pipe is
A) $6.25\ {ms}^{- 1}$
B) $5.0\ {ms}^{- 1}$
C) $3.2\ {ms}^{- 1}$
D) $2.56\ {ms}^{- 1}$
Explanation
(a) From the principle of continuity,
$Av = constant$
$or\ \ \ \ A_{1}v_{1} = A_{2}v_{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.