A circular pipe has a diameter of $1 \mathrm{~m}$, bed slope of 1 in $1000,$ and Manning's roughness coefficient equal to 0.01 . It may be treated as an open channel flow when it is flowing just full, i.e., the water level just touches the crest. The discharge in this condition is denoted by $Q_{\text {full. }}$ Similarly, the discharge when the pipe is flowing half-full, i.e., with a flow depth of $0.5 \mathrm{~m},$ is denoted by $Q_{\text {half }}$ The ratio $Q_{\text {fill }} / Q_{\text {half }}$ is:

(A) 1

(B) $\sqrt{2}$

(C) 2

(D) 4

A circular pipe has a diameter of $1 \mathrm{~m}$, bed slope of 1 in $1000,$ and Manning's roughness coefficient equal to 0.01 . It may be treated as an open channel flow when it is flowing just full, i.e., the water level just touches the crest. The discharge in this condition is denoted by $Q_{\text {full. }}$ Similarly, the discharge when the pipe is flowing half-full, i.e., with a flow depth of $0.5 \mathrm{~m},$ is denoted by $Q_{\text {half }}$ The ratio $Q_{\text {fill }} / Q_{\text {half }}$ is:

(A) 1

(B) $\sqrt{2}$

(C) 2

(D) 4

The two columns below show some parameters and their possible values.

Parameter Value

$\begin{array}{ll}\text { P-Gross Command Area } & \text { I-100 hectares/cumec }\end{array}$

Q Permanent Wilting II - 6ºC

R Duty of canal water III -1000 hectares

S Delta of wheat IV- 1000 CM

V- 40 CM

VI -0.12

Which of the following options matches the parameters and the values correctly?

(A) P-I, Q-II, R-II, S-IV

(B) P-II, Q-VI, R-I, S-V

(C) $\mathrm{P}-\mathrm{I}, \mathrm{Q}-\mathrm{V}, \mathrm{R}-\mathrm{VI}, \mathrm{S}-\mathrm{II}$

(D) P-II, Q-II, R-V, S-IV

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