GATE CE format:nat PYQs & Answers — Page 31

Questions 301–310 of 495. Imported answers require independent review unless marked reviewed.

Topic practice 495 questionsPage 31 of 50

A 4 m wide rectangular channel carries 6 m³/s of water. The Manning’s ‘n’ of the open channel is 0.02. Considering g = 9.81 m/s², the critical velocity of flow (in m/s, round off to two decimal places) in the channel is ________.

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Velocity distribution in a boundary layer is given by

, where

is the velocity at vertical coordinate

is the free stream velocity and

is the boundary layer thickness. The values of

and

are 0.3 m/s and 1.0 m, respectively. The velocity gradient

(in s

, round off to two decimal places) at

, is ____________.

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A river has a flow of 1000 million litres per day (MLD), BOD₅ of 5 mg/litre and Dissolved Oxygen (DO) level of 8 mg/litre before receiving the wastewater discharge at a location. For the existing environmental conditions, the saturation DO level is 10 mg/litre in the river. Wastewater discharge of 100 MLD with the BOD₅ of 200 mg/litre and DO level of 2 mg/litre falls at that location. Assuming complete mixing of wastewater and river water, the immediate DO deficit (in mg/litre, round off to two decimal places), is ________.

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Two identically sized primary settling tanks receive water for Type-I settling (discrete particles in dilute suspension) under laminar flow conditions. The Surface Overflow Rate (SOR) maintained in the two tanks are 30 m

.d and 15 m

.d. The lowest diameters of the particles, which shall be settled out completely under SORs of 30 m

.d and 15 m

.d are designated as

and

, respectively. The ratio

(round off to two decimal places) is ____________.

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If C represents a line segment between (0,0,0) and (1,1,1) in Cartesian coordinate system, the value (expressed as integer) of the line integral

is ____________.

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The Fourier series to represent

for

is given by

The value of

(round off to two decimal places), is

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Consider the system of equations

The value of

(round off to the nearest integer), is ____________.

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The diameter and height of a right circular cylinder are 3 cm and 4 cm, respectively. The absolute error in each of these two measurements is 0.2 cm. The absolute error in the computed volume (in cm³, round off to three decimal places), is

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A rigid, uniform, weightless horizontal bar is connected to three vertical members P, Q and R as shown in the figure (not drawn to the scale).

Diagram for Civil Engineering question 41

All three members have identical axial stiffness of 10 kN/mm. The lower ends of bars P and R rest on a rigid horizontal surface. When NO load is applied, a gap of 2 mm exists between the lower end of the bar Q and the rigid horizontal surface. When a vertical load W is placed on the horizontal bar in the downward direction, the bar still remains horizontal and gets displaced by 5 mm in the vertically downward direction. The magnitude of the load W (in kN, round off to the nearest integer), is ____________.

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A concrete beam of span 15 m, 150 mm wide and 350 mm deep is prestressed with a parabolic cable as shown in the figure (not drawn to the scale). Coefficient of friction for the cable is 0.35, and coefficient of wave effect is 0.0015 per meter.

If the cable is tensioned from one end only, the percentage loss (round off to one decimal place) in the cable force due to friction, is _____.

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GATE CE format:nat PYQs

Question 24

Question 24

Question 25

Question 25

Question 39

Question 39

Question 40

Question 40

Question 41

Question 41