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GATE Semi Syllabus Quiz 1 (App update required to attempt this test)

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Question 1

The number of degree of freedoms of the truss shown below is?

Question 2

A person standing on the bank of a canal drops a stone on the water surface. He notices that the disturbance on the water surface is not traveling upstream. This is because the flow in the canal is

Question 3

The time required to irrigate a strip of area 0.203 hectare by a stream discharge of 0.043 cumecs, to provide an average depth of 6.35 cm to the field is __________min.
[Assume average rate of infiltration to be 5 cm/h]

Question 4

The Mohr’s circle of a plane stress for a point in a body is as shown below. Consider μ = 0.25

As per the maximum strain energy theory, the yielding will just begin if the designer chooses a ductile material whose yield strength is _____ MPa [rounded to one decimal places]

Question 5

A thin gas cylinder of internal pressure 8 MPa having the inner diameter of 800 mm and thickness of 32 mm. The average circumferential stress (in MPa) is _____.

Question 6

The critical path from the following data is

Question 7

Select the incorrect option.
1) Total float can affect all activities in the chain.
2) Free float can affect only the succeeding activities.
3) Independent float affects only the particular concerned activity.
4) Interference float is the slack of head event.

Question 8

A steel bar of length 1.7 m having material yield point of 275 MPa and modulus of elasticity of 200 GPa. An applied axial load gradually builds up from zero to a value such that the elongation of the bar is 15 mm after which load is removed. If we assume elastic and perfectly plastic behaviour of the material, then the permanent elongation of the bar after removal of the load is

Question 9

The bending moment, in kN-m, of member DA in the frame shown below is.

Question 10

The inflow and outflow hydrographs of a reservoir routing are shown below

The peak attenuation (in m3/sec) and peak lag (in hr) are respectively

Question 11

A 2 hr unit hydrograph is given. The peak ordinate of a 3 hr unit hydrograph is ____m3/s .

Question 12

Select the incorrect option-

Question 13

A pipe network consists of a pipe of 40cm diameter and branches out at a junction into two branches, one is 20cm diameter and other is 30 cm diameter. These branches again rejoin after 10m .The velocity in the first branch (20cm diameter) is 1.2m/s. What is the velocity(m/s) in second branch? (only consider major loss)

Question 14

The sequent depths in a hydraulic jump formed in a 4.0m wide rectangular channel are 0.3 m and 1.2 m. The discharge in the channel is ____________m3/s.

Question 15

A flat plate is kept in an infinite fluid medium. The fluid has a uniform free–stream velocity parallel to the plate. For the laminar boundary layer formed on the plate, pick the correct option matching column I and II.
Column I
P Boundary layer thickness
Q Shear stress at the plate
R Pressure gradient along the plate
Column II
1. Decreases in the flow direction
2. Increases in the flow direction
3. Remains unchanged

Question 16

A solid circular shaft of diameter 50mm is subjected to pull of 250 kN and a torsional moment of 2.5 kNm, then the maximum principle stress in the shaft is _____ N/mm2.

Question 17

The amount of CO2 generated (in kg) while completely oxidizing one kg of CH4 to the end products is ________ Kg.

Question 18

The hyetograph of a storm event of duration 140 minutes is shown in the figure.

The infiltration capacity at the start of this event (t = 0) is 17mm/hour, which linearly decreases to 10 mm/hour after 40 minutes duration. As the event progresses, the infiltration rate further drops down linearly to attain a value of 4mm/ hour at t = 100 minutes and remains constant thereafter till the end of the storm event. The value of the infiltration index, ϕ (in mm/hour, round off to 2 decimal places), is _______

Question 19

Water at 15 °C flows at 5 m/s in a 200 mm pipe. At 30 °C, oil must flow in a 50 mm pipe for the two flows to be dynamically similar. The velocity (in m/s) is
[Take kinematic viscosity for water at 15 °C as 1.145 x 10-6 m2/s and that for oil at 30 °C as 3 x 10-6 m2/s]

Question 20

A pump can deliver a discharge of 0.10 m3/s to a head of 30 m. The critical cavitation number ‘Description: E:\Gate\SSC JE Civil Part 1-Done\04_FM_BLok_files\image200.png’ for the pump is found to be 0.12. The pump is to be installed at a location where the barometric pressure is 96.0 kPa (abs) and the vapour pressure is 3.0 kPa (abs). Assuming an intake pipe friction of 0.3m. The maximum allowable elevation above the sump water surface at which the pump can be located is _______m.[Take g=9.79 m/s2]
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Aug 4ESE & GATE CE