Published by:
CGP EDU Academic Team
Published on: September 11, 2026
An incompressible fluid flows steadily through a cylindrical pipe which has radius 2r at point A and radius r at B further along the flow direction. If the velocity at point A is v, its velocity at point B is
Text Solution
Verified by ExpertsThe correct answer is:
D
We know that, from continuity equation,
$A_1 V_1 = A_2 V_2$
(Symbols have usual meanings)
$\pi(2R)^2 V = \pi R^2 V_B$
$(V_{\mathbf{B}} = \text{Velocity of the fluid at point B})$
$\Rightarrow \pi (2R)^2 V = \pi R^2 V_{B}$
$\Rightarrow \pi 4 R^{2} V = \pi R^{2} V_{B}$
$4V = V_{\mathrm{B}}$
$\therefore V_{B} = 4V$
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The coefficient of viscosity for hot air is
A good lubricant should have
A small drop of water falls from rest through a large height h in air; the final velocity is
Water is flowing in a pipe of diameter 4 cm with a velocity 3 m/s. The water then enters into a tub…
A manometer connected to a closed tap reads $4.5 \times 10^{5}$ pascal. When the tap is opened the …
Two different liquids are flowing in two tubes of equal radius. The ratio of coefficients of viscos…