GATE CE Hydrology: National Champion Test for ESE & GATE CE Exams

Question 1

The relationship among specific yield (S _y), specific retention (S_r) and porosily (η) of an aquifer is

Question 2

Penman’s equation is based on

Question 3

An isohyets is a line joining points of

Question 4

As per the Lacey's method for design of alluvial channels, identity the true statement from the following

Question 5

Ordinates of a I-hour unit hydrograph at 1 hour intervals, starting from time t = 0, are 0, 2, 6,4,2,1 and 0 m³/s.

Catchment area represented by this unit hydrograph is

Question 6

Ordinates of a I-hour unit hydrograph at 1 hour intervals, starting from time t = 0, are 0, 2, 6,4,2,1 and 0 m³/s.

Ordinate of a 3-hour unit hydrograph for the catchment at t=3 hours is

Question 7

The plan area of a reservoir is 1 km². The water level in the reservoir is observed to decline by20 cm in a certain period. During this period the reservoir receives a surface inflow of 10 hectare–meters, and 20 hectare–meters are abstracted from the reservoir for irrigation and power. The pan evaporation and rainfall recorded during the same period at a near by meteorological station are 12 cm and 3 cm respectively. The calibrated pan factor is 0.7. The seepage loss from the reservoir during this period in hectare–meters is

Question 8

A wide channel is 1m deep and has a velocity of flow, V, as 2.13 m/s. If a disturbance is caused, an elementary wave can travel upstream with a velocity of

Question 9

A steep wide rectangular channel takes off from a reservoir having an elevation of 101.2 m. At the entrance, the bottom elevation of the channel is 100 m. If the slope of the channel is increased by 4%, the discharge per unit length in the channel will be

Question 10

A stable channel is to be designed for a discharge of Q m³/s with silt factor f as per Lacey’s method. The mean flow velocity (m/s) in the channel is obtained by

Question 11

During a 3 hour storm event, it was observed that all abstractions other than infiltration are negligible. The rainfall was idealized as 3 one hour storms of intensity 10 mm/hr, 20 mm/hr and 10 mm/hr respectively and the infiltration was idealized as a Horton curve, f = 6.8 + 8.7 exp (- t) (f in mm/hr and t in hr). What is the effective rainfall?

Question 12

In reservoirs with an uncontrolled spillway, the peak of the plotted outflow hydrograph

Question 13

A volume of 3.0 × 10⁶ m³ of ground water was pumped out from an unconfined aquifer uniformly from an area of 5 km². The pumping lowered the water table from initial level of 102 m to 99 m. The specific yield of the aquifer is

Question 14

An unstiffened web I section is fabricated from a 10mm thick plate by fillet welding as shown in the figure. If yield stress of steel is 250MPa, the maximum shear load that section can take is
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Question 15

Consider the following statements:
1). Over the oceans there is more evaporation than precipitation.
2). On land it is more precipitation than evapo-transpiration.
Which of these statements are correct?

Question 16

By using Gumbel’s method, the flood discharge with a return period of 500 years at a particular township neighborhood was estimated as 18000 m³/s with a probable error of 2000 m³/s. What are the 95% confidence probability limits of the 500 year flood at the location?

Question 17

A 3 hr unit hydrograph U₁ of a catchment of area 235km² is in the form of a triangle with peak discharge 30m³/s. Another 3 hr unit hydrograph U₂ is also triangular in shape and has the same base width as U₁, but has a peak flow of 90m³/s. What is the catchment area of U₂?

Question 18

A catchment area of 60 ha has a runoff coefficient of 0.40. if a strom of intensity 3 cm/h and duration longer than the time of concentration occurs in the catchment, then what is peak discharge?

Question 19

A direct runoff hydrograph due to isolated storm was triangular in shape with a base of 80 h and peak of 200 m³/s. if the catchment area is 1440 km², the effective rainfall of the storm is

Question 20

The excess runoff hydrograph from a catchment area 10 km² due to a strom of 6 hrs duration has been observed to be triangular in shape. The peak flow is observed to be 10 m³/s and the base length is 20 hrs. the rainfall excess in the catchment is

Question 21

A very wide rectangular channel is designed to carry a discharge of 5 m³/s per meter width. The design is based on the Manning's equation with the roughness coefficient obtained from the grain size using Strickler's equation and results in a normal depth of 1.0 m. By mistake, however, the engineer used the grain diameter in mm in the Strickler's equation instead of in meter. What should be the correct normal depth?

Question 22

Critical depth at a section of a rectangular channel is 1.5m. The specific energy at that section is

Question 23

Results of a water sample analysis are as follows :
(milliequivalent weight of CaCO₃ = 50 mg/meq.) Hardness of the water sample in mg/I as CaCO₃ is

Question 24

For a sample of water with the ionic composition shown in the figure below, the carbonate and non–carbonate hardness concentrations (in mg/I as CaCO₃), respectively are:
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Question 25

In a two–dimensional steady flow field, in a certain region of the x–y plane, the velocity component in the x–direction is given by v_x = x² and the density varies as

. Which of the following is a valid expression for the velocity component in the y–direction, v_y?