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

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

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

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

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

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

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

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

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

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

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

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

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

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Q. 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.

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Q. 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 single drainage.

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

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

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Q. For a dry soil mass of 180.4 g, specific gravity 2.68 and cross-sectional area of specimen as 50 cm², find the height of solids Hₛ.

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Q. If the specimen height H is 24mm and height of solids Hₛ is 13.45mm, then find the voids ratio.

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Q. If the final water content is 30% and specific gravity is 2.65 for a soil sample, then its final void ratio is _________

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