A vertical U-tube contains a liquid. The total length of the liquid column inside the tube is l. When the liquid is in equilibrium, the liquid surface in one of the arms of the U-tube is pushed down slightly and released. The entire liquid column will undergo a periodic motion.
.
.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(b, d)
Let A = area of cross – section of the tube,
ρ ρ = density of liquid.
If one surface is pushed down by x, the other surface moves up by x.
Net unbalanced force on the liquid column = 2x A ρ ρ g.
Mass of the liquid column = lA ρ ρ .
Let a = acceleration of liquid column.
-2xA ρ ρ g = (lA ρ ρ )a
or a = - 
Put ω ω 2 = 
a = - ω ω 2 x. This is SHM with T = 
.
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