Water is filled in a cylindrical container to a height of 3m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g = 10 m/s 2 )

Text Solution
Verified by ExpertsA
Let A = cross-section of tank
a = cross-section hole
V = velocity with which level decreases
v = velocity of efflux

From equation of continuity $av = AV \Rightarrow v = \frac{av}{A}.$
By using Bernoulli's theorem for energy per unit volume
Energy per unit volume at point A
= Energy per unit volume at point B
$P + \rho gh + \frac{1}{2} \rho v^{2} = P + 0 + \frac{1}{2} \rho v^{2}$
⇒ ⇒ $v^{2} = \frac{2gh}{1-\left(\frac{a}{A}\right)^{2}} = \frac{2 \times 10 \times (3 - 0.525)}{1 - (0.1)^{2}} = 50 (m/sec)^{2}$
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