MCQOPTIONS
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MCQOPTIONS
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} ) | |
| 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>) | |
| 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} ) | |
| 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} ) | |
| 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} ) | |
| 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} ) | |
| 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} ) | |
| 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 ) | |
| 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} ) | |
| 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. | |
| 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 ) | |
| 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 ) | |
| 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 | |
| 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 | |