Types of Spillways

Q. Which one of the following equations represents the downstream profile of Ogee spillway with vertical upstream face? [(x, y) are the coordinates of the point on the downstream profile with origin at the crest of the spillway and $H_d$ is the design head].

1. $\frac{y}{H_d}=-0.5{\left(\frac{x}{H_d}\right)}^{1.85}$
   
2. $\frac{y}{H_d}=-0.5{\left(\frac{x}{H_d}\right)}^{1/1.85}$
   
3. $\frac{y}{H_d}=-2.0{\left(\frac{x}{H_d}\right)}^{1.85}$
   
4. $\frac{y}{H_d}=-2.0{\left(\frac{x}{H_d}\right)}^{1/1.85}$
   

Q. In the case of non availability of space due to topography, the most suitable spillway is :

1. Shaft spillway
2. Chute spillway
3. Ogee spillway
4. Straight drop spillway

Q. Match List-I (Main provision) with List-II (Surplussing arrangement) and select the correct answer using the codes below the lists:

List-I
A. Minor irrigation work
B. Medium irrigation project in interior area
C. Earth dam across main river
D. Masonry dam on good rock

List-II
1. Saddle spillway
2. Syphon spillway
3. Ogee spillway
4. Surplus weir

Codes:
A B C D

1. 4 2 1 3
2. 4 2 3 1
3. 2 4 3 1
4. 2 4 1 3

Q. Which one of the following equations represents the downstream curve of the "Ogee" spillway with vertical upstream face (where x and y are the coordinates of crest profile measured from the apex of the crest, and H is the design head)?

1. $x=2H^{1.85}{y}^{0.85}$
2. $x^{1.85}=2H^{0.85}y$
3. $x^{0.85}=2H^{1.85}y$
4. $x=2H^{0.85}{y}^{1.85}$