GATE CE 2021 Paper 1 — page 13

Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.

The value of

using the trapezoidal rule with four equal subintervals is

Your answerChoose one option.

1.718

1.727

2.192

2.718

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A 50 mL sample of industrial wastewater is taken into a silica crucible. The empty weight of the crucible is 54.352 g. The crucible with the sample is dried in a hot air oven at 104 °C till a constant weight of 55.129 g. Thereafter, the crucible with the dried sample is fired at 600 °C for 1 h in a muffle furnace, and the weight of the crucible along with residue is determined as 54.783 g. The concentration of total volatile solids is ______.

Your answerChoose one option.

1540 μg/L

8620 mg/L

6920 mg/L

1700 mg/L

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A wedge M and a block N are subjected to forces P and Q as shown in the figure. If force P is sufficiently large, then the block N can be raised. The weights of the wedge and the block are negligible compared to the forces P and Q. The coefficient of friction (

) along the inclined surface between the wedge and the block is 0.2. All other surfaces are frictionless. The wedge angle is 30°.

Diagram for Civil Engineering question 29

The limiting force P, in terms of Q, required for impending motion of block N to just move it in the upward direction is given as

. The value of the coefficient ‘

’ (round off to one decimal place) is

Your answerChoose one option.

0.6

0.5

2.0

0.9

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2021 · Paper 1

Question 27

Question 28

Question 29