wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Two cylindrical vessels of equal cross sectional area A, contain liquid of density ρ, upto the heights h1 and h2. After inter connection the levels become equal then work done by force of gravity in this process is:

A
ρA(h1h22)2g
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
ρA(h1h22)g
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
ρA(h1+h22)2g
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
ρA(h1h2)g
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A ρA(h1h22)2g
Total volume of water will remain same.
Height of water in one container will decrease and in other it will increase.
For equilibrium, height of water in both the vessels must be, h=h1+h22
Volume = Area × height
Mass of water transfer = Density × Volume
m=ρA(h1h1+h22)
Work done = Force × Displacement
W= weight × Displacement
W=mg(h1h1+h22)
W=ρAg(h1h1+h22)2
W=ρAg(h1h22)2

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Combination of Solids
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon