Explore topic-wise MCQs in Geotechnical Engineering.

This section includes 214 Mcqs, each offering curated multiple-choice questions to sharpen your Geotechnical Engineering knowledge and support exam preparation. Choose a topic below to get started.

1.

In Terzaghi’s Theory of one dimensional consolidation, Darcy’s law is _______

A. invalid
B. valid
C. invalid only for clays
D. invalid only for gravel
Answer» C. invalid only for clays
2.

In practical case under a finite surface loading the intensity σ’ ______ with depth of layer.

A. decreases
B. increases
C. remains constant
D. has negligible effect
Answer» B. increases
3.

The coefficient of consolidation can be found by _____________

A. square root of time fitting method only
B. logarithm of time fitting method only
C. both square root of time fitting and logarithm of time fitting method
D. no method is available
Answer» D. no method is available
4.

For a soil at a given void ratio, the coefficient of compressibility _____________

A. increases with increase in magnitude of consolidating pressure
B. increases with decreases in magnitude of consolidating pressure
C. decreases with increase in magnitude of consolidating pressure
D. decreases with increase in magnitude of hydrostatic pressure
Answer» B. increases with decreases in magnitude of consolidating pressure
5.

For an ordinary clay of medium sensitivity, the value of compression index is _____ if liquid limit is 50%.

A. 0.36
B. 0.45
C. 0.12
D. 0.64
Answer» B. 0.45
6.

In many soil deposits, the secondary consolidation is neglected.

A. True
B. False
C. May be True or False
D. Can't say
Answer» B. False
7.

The recompression index Cs is________ compared to compression index Cc for pre-consolidated soils.

A. small
B. very small
C. large
D. very large
Answer» C. large
8.

Secondary consolidation starts in the range of primary consolidation itself.

A. True
B. False
C. May be True or False
D. Can't say
Answer» B. False
9.

The logarithm of time fitting method was suggested by ______

A. Terzaghi
B. Taylor
C. Darcy
D. A.Casagrande
Answer» E.
10.

In polar form the term, \(\frac{∂θ}{∂y}\) is given by______

A. \(\frac{∂θ}{∂y}=\frac{sinθ}{r} \)
B. \(\frac{∂θ}{∂y}=cosθsinθ\)
C. \(\frac{∂θ}{∂y}=\frac{cosθ}{r}\)
D. \(\frac{∂θ}{∂y}=\frac{sin2θ}{r}\)
Answer» D. \(\frac{∂θ}{∂y}=\frac{sin2θ}{r}\)
11.

The abscissa at U=90% is roughly equal to ________ times the abscissa at U=60%.

A. 0
B. 1.10
C. 1.15
D. 1.00
Answer» D. 1.00
12.

The relation between difference in thickness and voids ratio is given by ___________

A. \(∆H = \frac{e_o-e}{1+e_o}\)
B. \(\frac{∆H}{H_0} =\frac{e_o-e}{1+e_o}\)
C. \(H_0 = \frac{e_o-e}{1+e_o}\)
D. \(\frac{∆H}{H_0} = \frac{1}{1+e_o}\)
Answer» C. \(H_0 = \frac{e_o-e}{1+e_o}\)
13.

For a time factor Tv of 0.159, Find the degree of consolidation.

A. 45%
B. 98%
C. 34%
D. 18%
Answer» B. 98%
14.

The change in voids ratio method is applicable for _________________

A. only dry specimens
B. only fully saturated specimens
C. only partially saturated specimens
D. for all types of specimens
Answer» C. only partially saturated specimens
15.

In Terzaghi’s Theory of one dimensional consolidation, soil is considered to be __________

A. homogenous
B. non-homogenous
C. anisotropic
D. heterogeneous
Answer» B. non-homogenous
16.

The square root of time fitting method the theoretical graph is plotted between _____

A. \(\sqrt{T_v}\) is abscissa and U is ordinate
B. U is abscissa and \(\sqrt{T_v}\) is abscissa
C. Tv is abscissa and U is ordinate
D. \(\sqrt[3]{T_v}\) is abscissa and U is ordinate
Answer» B. U is abscissa and \(\sqrt{T_v}\) is abscissa
17.

If change in voids ratio is 0.18 and change in effective pressure is 100KN/m², then the coefficient of compressibility is ______

A. 2.5×10¯³ m²/kN
B. 2×10¯³ m²/kN
C. 9×10¯³ m²/kN
D. 9.5×10¯³ m²/kN
Answer» C. 9×10¯³ m²/kN
18.

At intermediate time t, the consolidating pressure is equal to ___________

A. ∆σ=σ+u̅
B. ∆σ=σ’
C. ∆σ=σ’+u̅
D. ∆σ=σ’-u̅
Answer» D. ∆σ=σ’-u̅
19.

A clay sample in laboratory test has 24mm thickness. It is tested with double drainage and consolidated 50%. The clay layer from which sample was obtained is 4m thick. Find the time to consolidate 50% with double drainage.

A. 365 days
B. 386 days
C. 750 days
D. 150 days
Answer» C. 750 days
20.

For n soil of height 2.08cm, coefficient of volume change mv=0.74 m²/MN. Find the settlement.

A. 0.154cm
B. 0.342cm
C. 0.432cm
D. 0.455cm
Answer» B. 0.342cm
21.

The unit of coefficient of volume change is

A. m²/kN
B. m³/kN
C. m²/N
D. m³/N
Answer» B. m³/kN
22.

Decrease in the volume of the soil is equal to _________

A. volume of water squeeze out
B. volume of water entering the soil element
C. volume of water leaving the soil element
D. volume of soil in wet state
Answer» B. volume of water entering the soil element
23.

In practical cases, the final consolidation settlement is calculated by the equation ___________

A. \(ρ_f=∫_0^H m_v Hdz\)
B. \(ρ_f=∫_0^HH∆σ’dz\)
C. \(ρ_f=∫_0^Hm_v H∆σ’ dz\)
D. \(ρ_f=∫_0^Hm_v ∆σ’ dz\)
Answer» E.
24.

For a remolded sample of clay with liquid limit of 45%, find its compression index.

A. 0.753
B. 0.561
C. 0.493
D. 0.245
Answer» E.
25.

The use of square root of fitting method was suggested by ________

A. Terzaghi
B. Taylor
C. Darcy
D. Skempton
Answer» C. Darcy
26.

There is plastic readjustment of soil particles during _____________

A. pre-consolidation
B. secondary consolidation
C. under- consolidation
D. normal- consolidation
Answer» C. under- consolidation
27.

When the soil is laterally confined, the changes in volume is ______

A. proportional to change in thickness ∆H
B. inversely proportional to change in thickness ∆H
C. equal to change in thickness ∆H
D. does not depend upon the thickness
Answer» B. inversely proportional to change in thickness ∆H
28.

The relation between mᵥ and aᵥ is __________

A. \(m_v=\frac{a_v}{e_0} \)
B. \(m_v=\frac{a_v}{1+∆σ’} \)
C. \(m_v=\frac{a_v}{1+e_0} \)
D. \(m_v=\frac{1}{e_0}\frac{a_v}{1+e_0} \)
Answer» D. \(m_v=\frac{1}{e_0}\frac{a_v}{1+e_0} \)
29.

The coefficient of volume change mᵥ is also known as ______________

A. coefficient of compressibility
B. coefficient of volume compressibility
C. compression index
D. expansion index
Answer» C. compression index
30.

The term \(\frac{∂^2 \overline{u}}{∂x^2}+\frac{∂^2 \overline{u}}{∂y^2}\) in terms of r and θ is given by _______

A. \(\frac{∂^2 \overline{u}}{∂x^2}+\frac{∂^2 \overline{u}}{∂y^2}=\frac{∂^2 \overline{u}}{∂r^2}+\frac{1}{r} \frac{∂\overline{u}}{∂r}-\frac{1}{r^2}\frac{∂^2 \overline{u}}{∂θ^2}\)
B. \(\frac{∂^2 \overline{u}}{∂x^2}+\frac{∂^2 \overline{u}}{∂y^2}=\frac{∂^2 \overline{u}}{∂r^2}+\frac{1}{r} \frac{∂\overline{u}}{∂r}+\frac{1}{r^2}\frac{∂^2 \overline{u}}{∂θ^2}\)
C. \(\frac{∂^2 \overline{u}}{∂x^2}+\frac{∂^2 \overline{u}}{∂y^2}=\frac{∂^2 \overline{u}}{∂r^2}-\frac{1}{r} \frac{∂\overline{u}}{∂r}-\frac{1}{r^2}\frac{∂^2 \overline{u}}{∂θ^2}\)
D. \(\frac{∂^2 \overline{u}}{∂x^2}+\frac{∂^2 \overline{u}}{∂y^2}=\frac{∂^2 \overline{u}}{∂r^2}-\frac{1}{r} \frac{∂\overline{u}}{∂r}+\frac{1}{c^2}\frac{∂^2 \overline{u}}{∂θ^2}\)
Answer» C. \(\frac{∂^2 \overline{u}}{∂x^2}+\frac{∂^2 \overline{u}}{∂y^2}=\frac{∂^2 \overline{u}}{∂r^2}-\frac{1}{r} \frac{∂\overline{u}}{∂r}-\frac{1}{r^2}\frac{∂^2 \overline{u}}{∂θ^2}\)
31.

The integration of the equation \(ρ_f=∫_0^Hm_v ∆σ’dz\) can be performed by _____________

A. numerical method only
B. graphical method only
C. both numerical method and graphical method
D. can not be performed
Answer» D. can not be performed
32.

When the pre-consolidation pressure σₚ‘ is greater than initial effective pressure σ’₀ but smaller than effective pressure σ’, then the final settlement is calculated on the basis of ___________

A. settlement due to σ’₀ to σₚ‘ using Cₛ only
B. settlement due to σₚ‘ to σ’ using Cc only
C. settlement due to σ’₀ to σₚ‘ using Cₛ and settlement due to σₚ‘ to σ’ using Cc
D. settlement due to σ’ to σₚ‘ using Cc and settlement due to σₚ‘ to σ’ using Cc
Answer» D. settlement due to σ’ to σₚ‘ using Cc and settlement due to σₚ‘ to σ’ using Cc
33.

The voids ratio with respect to height of solids is given by equation______________

A. \(e=\frac{H}{H_s}\)
B. \(e=\frac{H_s}{H}\)
C. \(e=\frac{H+H_s}{H_s}\)
D. \(e=\frac{H-H_s}{H_s}\)
Answer» E.
34.

The term coefficient of consolidation Cᵥ used in equation is adopted to indicate the effect of permeability only.

A. True
B. False
C. May be True or False
D. Can't say
Answer» C. May be True or False
35.

The consolidation settlement ρf for a soil stature of thickness H that has fully consolidated index, a pressure increment ∆σ’ with respect to mᵥ is given by ____________

A. ρf=mᵥ H
B. ρf=H∆σ’
C. ρf=mᵥ H∆σ’
D. ρf=mᵥ ∆σ’
Answer» D. ρf=mᵥ ∆σ’
36.

The minus sign in the change expression for change in thickness ∆H = -mᵥ H₀ ∆σ’ denotes ______

A. thickness decreases with increase in pressure
B. thickness decreases with decrease in pressure
C. thickness increases with increase in pressure
D. thickness does not changewith increase in pressure
Answer» B. thickness decreases with decrease in pressure
37.

The change in thickness due to pressure increment is given by ______

A. ∆H = -mᵥ H₀ ∆σ’
B. ∆H = -mᵥ ∆σ’
C. ∆H = -mᵥ H₀
D. ∆H = -H₀ ∆σ’
Answer» B. ∆H = -mᵥ ∆σ’
38.

For a mass of 3.192g of soil with voids ratio 0.532, Find its saturated mass density.

A. 2.084 g/cm³
B. 1.097 g/cm³
C. 3.593 g/cm³
D. 5.237 g/cm³
Answer» B. 1.097 g/cm³
39.

The secondary consolidation is represented by __________

A. \(∆e = -α *⁡\frac{t_1}{t_2}\)
B. \(∆e = -α log_{10}⁡\frac{t_2}{t_1}\)
C. \(∆e = -log_{10}⁡\frac{t_1}{t_2}\)
D. ∆e = α log₁₀⁡t₁
Answer» C. \(∆e = -log_{10}⁡\frac{t_1}{t_2}\)
40.

The partial differentiation of velocity of water in soil element with respect to depth z in terms of coefficient of volume change is given by ____________

A. \(\frac{∂v}{∂z}=m_v \frac{∂^2 \overline{u}}{∂t^2}\)
B. \(\frac{∂v}{∂z}=m_v \frac{\overline{u}}{∂t^2}\)
C. \(\frac{∂v}{∂z}=\frac{∂^2 \overline{u}}{∂t^2}\)
D. \(\frac{∂v}{∂z}=m_v \frac{∂\overline{u}}{∂t}\)
Answer» E.
41.

In determination of pre-consolidation pressure ___________ point of virgin curve is selected.

A. maximum curvature
B. maximum radius
C. minimum curvature
D. initial point
Answer» B. maximum radius
42.

From the coefficient of consolidation and coefficient of compressibility, the coefficient of permeability is found by equation __________

A. \(k=\frac{γ_w}{1+e_o} \)
B. \(k=\frac{C_v a_v Aγ_w}{1+e_o} \)
C. \(k=\frac{a_v γ_w}{1+e_o} \)
D. \(k=\frac{C_v a_v γ_w}{1+e_o} \)
Answer» E.
43.

The reference of consolidation test is in ____________

A. IS 800: 2007
B. IS 456: 2000
C. IS 2762
D. IS 2720 (Part 15): 1986
Answer» E.
44.

Two clay layer of A and B of thickness 2cm and 3 cm is load with pressure of 200KN/m². If the time taken by soil A to reach 50% consolidation is 1/4th of that required by soil B to reach 50% consolidation, then find the ratio of coefficients of Permeability. Given that ratio of coefficient of volume change is 1.751.

A. 5.234
B. 2.456
C. 3.114
D. 4.233
Answer» D. 4.233
45.

Who conducted consolidation test on a number of clays from different parts of the world?

A. Terzaghi
B. Taylor
C. Skempton
D. Darcy
Answer» D. Darcy
46.

The logarithm of time fitting method is based on the characteristic of ______________

A. U and Tᵥ
B. U and log₁₀⁡Tᵥ
C. Tᵥ
D. log₁₀Tᵥ
Answer» C. Tᵥ
47.

If a clay layer is expected to settle 12cm under loading settles 3cm at the end of one month, then find the degree of consolidation.

A. 25%
B. 50%
C. 60%
D. 56%
Answer» B. 50%
48.

In 1935, solved the differential equation of consolidation by radial flow to a well.

A. Rendulic
B. Skempton
C. Taylor
D. Darcy
Answer» B. Skempton
49.

To find pre-consolidation pressure __________ relationship in graph is plotted.

A. voids ratio and effective pressure
B. effective pressure and total pressure
C. effective pressure and pore pressure
D. total pressure and total pressure
Answer» B. effective pressure and total pressure
50.

From the calculations consideration of a consolidation test data, the change in thickness can be both positive and negative.

A. True
B. False
C. May be True or False
D. Can't say
Answer» B. False