List of top Water Resources Engineering Questions asked in GATE CE

The Culturable Command Area (CCA) for a canal is 10000 hectares. The base period for a crop in the CCA is 140 days. Watering depth for the crop is 40 cm. The outlet discharge (in $m^3/s$) lies between

The flow depth for a discharge of 10 m³/s in a wide rectangular channel is 2.0 m. Assume that the flow is uniform.

If the discharge is doubled, the flow depth (in m) in this channel is (rounded off to two decimal places).

Types of flood routing and methods are given in the table below.

Column 1: Type of Flood Routing	Column 2: Method
(P) Hydrologic routing	(i) Muskingum method
(Q) Hydraulic routing	(ii) Modified Pul's method
(R) Reservoir routing	(iii) Method of Characteristics
(S) Channel routing

Option(s) giving the CORRECT match(es) between Column 1 and Column 2 is/are:

Following statements are made with respect to the mass curve of rainfall:
(I) Slope at a point on the curve can be positive.
(II) Slope at a point on the curve can be zero.
Which one of the following options is CORRECT?

The probability (in %) that a storm having return period of 15 years may occur in the next 10 years is ______ (rounded off to two decimal places).

Width (in m) of a rectangular channel required to carry a discharge of 96 m³/s at a critical depth of 9.8 m is (rounded off to two decimal places).

Use acceleration due to gravity = 9.8 m/s²

The intensity-duration relationship for a rainfall on a rectangular plot ABCD of area 7 ha ($1 \, \text{ha} = 10^4 \, \text{m}^2$) can be modelled by the following equation:
\[ I = \frac{25}{(t+10)} \]
where $I$ is rainfall intensity (in cm/h), and $t$ is the duration (in minutes) of rainfall. The average runoff coefficient over the area is 0.60. The time of entry (in minutes) to the outfall from the corners A, B, C, and D is 10, 20, 15 and 25, respectively.

The design flowrate (in $m^3/h$) of the storm-sewer at the outfall is _____ (in integer).

A bridge with an expected life of 50 years is designed for a flood of 10000 m$^3$/s corresponding to the return period of 100 years. The risk associated with this design is (rounded off to two decimal places).

A wide unlined channel carries sediment-free water. The depth of water is 1 m. The specific weight of water is 10 kN/m$^3$. To prevent scouring, the maximum permissible tractive stress on bed is 10 N/m$^2$. The maximum slope of the channel bed to prevent scouring is 1 in $n$. The value of $n$ is (in integer).

An irrigation canal is to be designed to deliver 10 cumec to meet the peak demand of 7500 hectare of cropped area. The estimated canal losses are 50 % of the head discharge. The duty (in hectare/cumec) on capacity of this canal is

If the weights retained on the 2.36 mm, 1.18 mm, 600 $\mu m$, and 300 $\mu m$ sieves are 30%, 35%, 15%, and 20%, respectively, of the total weight of an aggregate sample, then the fineness modulus of the sample is ........... (rounded off to 2 decimal places).

A steel beam supported by three parallel pin-jointed steel rods is shown in the figure. The moment of inertia of the beam is $ 8 \times 10^7 \, {mm}^4 $. Take modulus of elasticity of steel as 210 GPa. The beam is subjected to uniformly distributed load of 6.25 kN/m, including its self-weight. The axial force (in kN) in the centre rod CD is ......... (round off to one decimal place).

Consider the frame shown in the figure under the loading of 100 kN.m couples at the joints B and G. Considering only the effects of flexural deformations, which of the following statements is/are true:

A water resources project with an expected life of 25 years has to be designed for an acceptable risk of 5% against a design flood. The return period for the design flood (in years) is ........... (rounded off to the nearest integer).

The mean rainfall over a catchment has to be estimated. The data for four rain gauges located in and around the catchment is listed in the table. Which one of the following statements is correct:

Consider the rigid bar ABC supported by the pin-jointed links BD and CE and subjected to a load $P$ at the end $A$, as shown in the figure. The axial rigidities of BD and CE are 22500 kN and 15000 kN, respectively. If CE elongates by 5 mm due to the load $P$, the magnitude of the downward deflection (in mm) of the end $A$ would be ........ (rounded off to the nearest integer).