Q.

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/s2)

see full answer

Want to Fund your own JEE / NEET / Foundation preparation ??

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*
An Intiative by Sri Chaitanya

a

50 m2/s2

b

50.5m2/s2

c

51 m2/s2

d

52 m2/s2

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let A = cross-section of tanka = cross-section hole V = velocity with which level decreasesv = velocity of efflux From equation of continuity av=AV⇒V=avA    By using Bernoulli's theorem for energy per unit volume Energy per unit volume at point A                            = Energy per unit volume at point BP+ρgh+12ρV2=P+0+12ρv2⇒v2=2gh1−aA2=2×10×(3−0.525)1−(0.1)2=50(m/sec)2
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon