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

# Water surface profiles that are asymptotic at one end and terminated at the other end would include

A

M2andH2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

H3andS2

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C

M2andH2

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D

H2andS2

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A M2andH2 (c) The curves which are asymptotic at one end and terminated at the other end are M2andH2 From dydx=S0−Sf1−Q2TgA3=S01−(yny)10/31−(ycy)3 Using Manning's equation for wide rectangular channel. (i) As y→y0;dydx→0; i.e. the water surface approaches normal depth line asymptotically (ii) As y→yc;dydx→∞; i.e. the water surface meets the critical depth line vertically in region 2 and3 (iii) As y→∞;dydx→0; i.e. the water surface meets a very large depth as horizontal asymptote in region 1. (iv) As y→0;dydx→∞; it means that the surface profile meets the channel bed vertically in region 3 Thus, M1,M2,S2 and S3meet y0 line asymptotically (ii) M1and S1 curve tend to horizontal as y→∞ (iii) M2,M3andS2 meet yc line normally (iv) M3 and S3 meet channel bed normally. The slope of: C1 and C3 curve comes out to be equal to critical slope of the bed, if Chezy's equation is used. Otherwise they are slightly curved.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Bernoulli's Principle
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program