Explore topic-wise MCQs in Soil Mechanics.

This section includes 14 Mcqs, each offering curated multiple-choice questions to sharpen your Soil Mechanics knowledge and support exam preparation. Choose a topic below to get started.

1.

The time factor Tv for the vertical flow is given by _______

A. (T_v= frac{C_{vz} t}{H^2} )
B. (T_v= frac{-C_{rz} t}{H^2} )
C. (T_v= frac{C_{vz}}{H^2} )
D. (T_v= frac{C_{vz} t}{H} )
Answer» B. (T_v= frac{-C_{rz} t}{H^2} )
Discussion
2.

The equation given by Carillo in 1942 relating the degree of consolidation in one dimensional flow (Uz) and radial flow (Ur) is _______

A. (1-U)=(1-U<sub>z</sub>)(1+U<sub>r</sub>)
B. (1-U)=(1-U<sub>z</sub>)(1-U<sub>r</sub>)
C. (1-U)=(1+U<sub>z</sub>)(1-U<sub>r</sub>)
D. (1-U)=(1+U<sub>z</sub>)(1+U<sub>r</sub>)
Answer» C. (1-U)=(1+U<sub>z</sub>)(1-U<sub>r</sub>)
Discussion
3.

The one dimensional flow part of governing consolidation equation of three dimensional consolidation having radial symmetry is _______

A. ( frac{ overline{u}}{ t}=C_{vr} frac{ overline{u}}{ r^2} )
B. ( frac{ overline{u}}{ t}=C_{vr} ( frac{ overline{u}}{ r^2}+ frac{1}{r} frac{ overline{u}}{ r})+C_{vz} frac{ ^2 overline{u}}{ z^2} )
C. ( frac{ overline{u}}{ t}=C_{vz} ( frac{ overline{u}}{ r^2}+ frac{1}{r} frac{ overline{u}}{ r})+C_{vz} frac{ ^2 overline{u}}{ z^2} )
D. ( frac{ overline{u}}{ t}=C_{vr} ( frac{ overline{u}}{ r^2}+ frac{1}{r} frac{ overline{u}}{ r}) )
Answer» B. ( frac{ overline{u}}{ t}=C_{vr} ( frac{ overline{u}}{ r^2}+ frac{1}{r} frac{ overline{u}}{ r})+C_{vz} frac{ ^2 overline{u}}{ z^2} )
Discussion
4.

The radial flow part of governing consolidation equation of three dimensional consolidation having radial symmetry is _______

A. ( frac{ overline{u}}{ t}=C_{vr} ( frac{ overline{u}}{ r^2}+ frac{1}{r} frac{ overline{u}}{ r}) )
B. ( frac{ overline{u}}{ t}=C_{vr} ( frac{ overline{u}}{ r^2}+ frac{1}{r} frac{ overline{u}}{ r})+C_{vz} frac{ ^2 overline{u}}{ z^2} )
C. ( frac{ overline{u}}{ t}=C_{vz} ( frac{ overline{u}}{ r^2}+ frac{1}{r} frac{ overline{u}}{ r})+C_{vz} frac{ ^2 overline{u}}{ z^2} )
D. ( frac{ overline{u}}{ t}=C_{vr} ( frac{ overline{u}}{ r^2}+ frac{1}{r} frac{ overline{u}}{ r}) )
Answer» B. ( frac{ overline{u}}{ t}=C_{vr} ( frac{ overline{u}}{ r^2}+ frac{1}{r} frac{ overline{u}}{ r})+C_{vz} frac{ ^2 overline{u}}{ z^2} )
Discussion
5.

In three dimensional consolidation of sand drain, having radial symmetry, the governing consolidation equation is _______

A. ( frac{ overline{u}}{ t}=C_{vr} ( frac{ overline{u}}{ r^2}+ frac{1}{r} frac{ overline{u}}{ r})-C_{vz} frac{ ^2 overline{u}}{ z^2} )
B. ( frac{ overline{u}}{ t}=C_{vr} ( frac{ overline{u}}{ r^2}+ frac{1}{r} frac{ overline{u}}{ r})+C_{vz} frac{ ^2 overline{u}}{ z^2} )
C. ( frac{ overline{u}}{ t}=C_{vr} ( frac{ overline{u}}{ r^2}- frac{1}{r} frac{ overline{u}}{ r})+C_{vz} frac{ ^2 overline{u}}{ z^2} )
D. ( frac{ overline{u}}{ t}=C_{vz} ( frac{ overline{u}}{ r^2}+ frac{1}{r} frac{ overline{u}}{ r})+C_{vz} frac{ ^2 overline{u}}{ z^2} )
Answer» C. ( frac{ overline{u}}{ t}=C_{vr} ( frac{ overline{u}}{ r^2}- frac{1}{r} frac{ overline{u}}{ r})+C_{vz} frac{ ^2 overline{u}}{ z^2} )
Discussion
6.

In case of radial symmetry, ( frac{ ^2 overline{u}}{ x^2}+ frac{ ^2 overline{u}}{ y^2} ) is_________

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} )
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} )
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} )
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} )
Answer» 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} )
Discussion
7.

The term ( frac{ ^2 overline{u}}{ x^2}+ frac{ ^2 overline{u}}{ y^2} ) in terms of r and 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}}{ ^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}}{ ^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}}{ ^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}}{ ^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}}{ ^2} )
Discussion
8.

The partial differentiation of excess hydrostatic pressure overline{u} as a function of r and with respect to x is given by _______

A. ( frac{ overline{u}}{ x}= frac{ overline{u}}{ r} cos - frac{1}{r} frac{ overline{u}}{ } sin )
B. ( frac{ overline{u}}{ x}= frac{ overline{u}}{ r} cos - frac{1}{r} frac{ overline{u}}{ } cos )
C. ( frac{ overline{u}}{ x}= frac{ overline{u}}{ r} sin - frac{1}{r} frac{ overline{u}}{ } sin )
D. ( frac{ overline{u}}{ x}= frac{ overline{u}}{ r} sin - frac{1}{r} frac{ overline{u}}{ } cos )
Answer» B. ( frac{ overline{u}}{ x}= frac{ overline{u}}{ r} cos - frac{1}{r} frac{ overline{u}}{ } cos )
Discussion
9.

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

A. ( frac{ }{ y}= frac{sin }{r} )
B. ( frac{ }{ y}=cos sin )
C. ( frac{ }{ y}= frac{cos }{r} )
D. ( frac{ }{ y}= frac{sin2 }{r} )
Answer» D. ( frac{ }{ y}= frac{sin2 }{r} )
Discussion
10.

In polar form the term, ( frac{ }{ x} ) is given by______

A. ( frac{ }{ x}= frac{sin }{r} )
B. ( frac{ }{ x}=-cos sin )
C. ( frac{ }{ x}=- frac{cos }{r} )
D. ( frac{ }{ x}= frac{-sin }{r} )
Answer» E.
Discussion
11.

In polar form the term, ( frac{ r}{ y} ) is given by______

A. ( frac{ r}{ y}=sin )
B. ( frac{ r}{ y}=cos sin )
C. ( frac{ r}{ y}=cos )
D. ( frac{ r}{ y}=sin2 )
Answer» B. ( frac{ r}{ y}=cos sin )
Discussion
12.

In polar form the term, ( frac{ r}{ x} ) is given by______

A. ( frac{ r}{ x}=sin )
B. ( frac{ r}{ x}=cos sin )
C. ( frac{ r}{ x}=cos )
D. ( frac{ r}{ x}=sin2 )
Answer» D. ( frac{ r}{ x}=sin2 )
Discussion
13.

The transformation from Cartesian to plane coordinates in y-direction is given by ______

A. y=rsin
B. y=rcos
C. y=rcos2
D. y=rsin2
Answer» B. y=rcos
Discussion
14.

The transformation from Cartesian to plane coordinates in x-direction is given by ______

A. x=rsin
B. x=rcos
C. x=rcos2
D. x=rsin2
Answer» C. x=rcos2
Discussion