1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# In the following figure, flow of a liquid through a horizontal pipe has been shown. Three tubes A,B and C are connected to the pipe. The radii of the tubes A,B and C at the junction are respectively 2 cm,1 cm and 2 cm. It can be said that the

A
height of the liquid in the tube B is maximum
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
height of the liquid in the tubes A and B is the same
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
height of the liquid in all the three tubes is the same
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
height of the liquid in the tubes A and C is the same.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D height of the liquid in the tubes A and C is the same.Cross-sectional areas of both the tubes A and C are the same and pipe is horizontal. Hence, according to equation of continuity, Av=constant⇒vA=vC According to Bernoulli's theorem, P+12ρv2+ρgh=constant ...(i) Pipe is horizontal (No change in elevation of fluid) i.e h= constant. ⇒PA=PC So, we can conclude that pressure remains same at A and C. For liquid column in the vertical tube, the relation between height of liquid and pressure at the point is, P=ρgh PA=PC⇒hA=hC Hence, height of liquid will be the same in both the tubes A and C. Similarly, vB>vA, as the cross-sectional area at B is lower. According to Bernoulli's theorem, P+12ρv2+ρgh=constant Since KEB>KEA, in accordance with Bernoulli's equation, we get: PB<PA [since h is constant here also] From P=ρgh, hA>hB ⇒correct option is (d)

Suggest Corrections
0
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program