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QUESTION: 1

In a falling head permeability test on a soil, the time taken for the head to fall from h_{0 }to h_{1} is t. The test is repeated with same initial head h_{0}, the final head h' is noted in time t/2. Which one of the following equations gives the relation between h', h_{0 }and h_{1}?

Solution:

In falling head permeability test,

QUESTION: 2

Approximate ratios of the permeabilities of two clean soils having D_{10} = 0,6 mm and D_{10 }= 0,3 mm respectively is

Solution:

Ratio of permeabilities of the two soils is given by,

QUESTION: 3

Which one of the following expressions represents the shear strength of soil at point X? Angle of shear resistance of soil is φ and symbols Y_{w'} Y_{sat'} Y_{sub' }Y_{dry} stand for unit weights of water, saturated soil, submerged soil and dry soil respectively.

Solution:

As the free water surface on both sides is same so there is no flow occurring through soil. Thus effective stress at X,

QUESTION: 4

A stratified soil deposit has three layers of thicknesses: z_{1} = 4, z_{2} - 1, z_{3} = 2 units and the corresponding permeabilities of k_{1} = 2, k_{2} = 1 and k_{3} = 4 units, respectively. The average permeability perpendicular to the bedding planes will be

Solution:

QUESTION: 5

In the case of stratified soil layers, the best equation that can be adopted for computing the pressure distribution is

Solution:

Westergaard’s equation is applicable for non-isotropic condition commonly encountered in sedimentary stratified deposits.

QUESTION: 6

The permeability of a soli sample varies (Where d = grain size)

Solution:

K=Cⅆ^{2} (γ_w/μ)×ⅇ^{3}/(1+ⅇ)

k- permeability; d – dia. of soil particles; e- void ratio;

μ – Viscocity of fluid

QUESTION: 7

In the situation shown in the given figure, the coefficient of permeability of the soil is 10^{-3}cm/s. The discharge in one minute will be

Solution:

Discharge = Permeability x Area x Head/ Length= 10^{-3} x 100 x (1/2) = 1/20 cm^{3}/s

Therefore, volume flown in 1 minute = 60 seconds

60/20 cm^{3} = 3 cm^{3} = 3ml

QUESTION: 8

Effective stress in a soil is the stress carried by the

Solution:

Effective stress is a function of the particle contact force.

Pore water pressure acts uniformly on all sides of the particle and does not cause the soil particles to press against each other.

QUESTION: 9

The coefficient of permeability increases when

Solution:

K=Cⅆ^{2} (γ_w/μ)×ⅇ^{3}/(1+ⅇ)

k- permeability; d – dia. of soil particles; e- void ratio;

μ – Viscocity of fluid

Viscocity decreases permeability increases

QUESTION: 10

Which of the following methods is best suited for the determination of permeability of coarse grained soils?

Solution:

Coarse Grained Soil- Constant Head Method

Fine Grained Soil- Falling Head Method

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