GATE’22 CE: Daily Practices Quiz. 21-July-2021

Quiz: Civil Engineering
Exam: GATE
Topic: Miscellaneous

Each question carries 2 marks
Negative marking: 1/3 mark
Time: 12 Minutes

Q1. Calculate the safe stopping sight distance for a design speed of 70 kmph for two-way traffic on a single lane road. The reaction time of deriver is 2.5 sec.
(a) 136.23 m.
(b) 207.37 m
(c) 674. 24m
(d) 164.42 m

Q2. If tomato juice is having a pH of 4.2, the hydrogen ion concentration will be
(a) 6.31 × 10^(-5) mol/l
(b) 8.94 × 10^(-5) mol/l
(c) 10.31 × 10^(-5) mol/l
(d) 9.94 × 10^(-5) mol/l

Q3. For avoiding the limit state of collapse, the safety of RC structures is checked for appropriate combination of Dead load (DL), Live load (LL) or imposed load, Earthquake load (EL) and wind load (WL). Which of the following load combination is not considered?
(a) 1.5 DL+ 1.5 WL + 1.5 EL
(b) 1.5 DL + 1.5 WL
(c) 1.2 DL + 1.2 LL + 1.2 WL
(d) 0.9 DL + 1.5 WL

Q4. If principal stresses in a two-dimensional case are -20 MPa and 30 MPa respectively, then maximum shear stress at the point is
(a) 30 MPa
(b) 15 MPa
(c) 10 MPa
(d) 25 MPa

Q5. Group symbols assigned to clayey sand and silty sand are respectively
(a) CS and SS
(b) SC and SM
(c) CS and SM
(d) CS and MS

Solutions

S1. Ans.(b)
Sol. Given, velocity (V) = 70 kmph
=70/3.6=19.44 m\/sec⁡
Reaction time (t) = 2.5 sec.
Assuming longitudinal friction (f) = 0.35
Note →
For single lane, two way, SSD will be = 2SSD
Now,
SSD=2 [v.t+v^2/2gf]
=2[19.44×2.5+(19.44)^2/(2×9.8×0.35)]
▭(SSD=207.37 m.)

S2. Ans.(a)
Sol. ▭(pH= -log_10 [H^+ ] )
Given, pH = 4.2
4.2= -log_10 [H^+ ]
[H^+ ]=10^(-4.2)
▭([H^+ ]=6.31×10^(-5) mol\/l)

S3. Ans.(a)
Sol. Earthquake load (EL) and wind load (WL) can never consider simultaneously.

S4. Ans.(d)
Sol. Given σ_1=30 MPa ,σ_2= -20MPa
Maximum shear stress (τ) = (σ_1-σ_2)/2
=(30—(-20))/2
= 25 MPa

S5. Ans.(b)
Sol. Group symbols assigned to clayey sand and silty sand are respectively SC and SM.

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