Soil Mechanics and Foundation Engineering

111. If dry density, water density and specific gravity of solids of a given soil sample are 1.6 g/cc, 1.84 g/cc and 2.56 respectively, the porosity of the soil sample, is

  1. 0.375
  2. 0.37
  3. 0.38
  4. 0.39

Correct answer: (A)
0.375

112. If e0, e, σ1 e σ0' have their usual meanings, the coefficient of compressibility (ac), is given by

  1. ac = (e - e0)/(e' + e0')
  2. ac = (e0 - e)/(σ - σ0')
  3. ac = (σ - σ0')/(e0 - e)
  4. ac = (σ0' - σ)/(e - e0)

Correct answer: (B)
ac = (e0 - e)/(σ - σ0')

113. If is specific gravity of sand particles, 'e' is porosity, the critically hydraulic gradient

  1. ic = (G + 1)/(1 - e)
  2. ic = (G + 1)/(1 + e)
  3. ic = (G - 1)/(1 + e)
  4. ic = (G - 1)/(1 - e)

Correct answer: (C)
ic = (G - 1)/(1 + e)

114. If Nf, Nd and H are total number flow channels, total number of potential drops and total hydraulic head differences respectively, the discharge q through the complete flow is given by (where K is a constant)

  1. q = √H (Nf/Nd)
  2. q = KH (Nd/(Nf)
  3. q = KH (Nf/Nd)
  4. q = KH √(Nf/Nd)

Correct answer: (C)
q = KH (Nf/Nd)

115. If S, L and R are the arc length, long chord and radius of the sliding circle then the perpendicular distance of the line of the resultant cohesive force, is given by

  1. a = S.R/L
  2. a = L.S/R
  3. a = L.R/S
  4. None of these

Correct answer: (A)
a = S.R/L

116. If the back fill is having a uniform surcharge of intensity 'q' per unit area, the lateral pressure will be

  1. q times the lateral pressure within the surface
  2. 1/q times the lateral pressure within the surface
  3. Equal to a fill of height Z equal to q/r, where r is the density of the backfill
  4. None of these

Correct answer: (C)
Equal to a fill of height Z equal to q/r, where r is the density of the backfill

117. If the bulk density of the soil 'ρ' is and water content 'ω', then dry density of the soil, is

  1. 1 + (ω/ρ)
  2. (1 + ρ)/ω
  3. ρ/(1 + ω)
  4. ω/(1 + ρ)

Correct answer: (C)
ρ/(1 + ω)

118. If the coefficient of the active pressure Ka is 1/3, the coefficient of passive pressure Kp, is

  1. 43525
  2. 43526
  3. 1
  4. 3

Correct answer: (D)
3

119. If the coefficients of volume change and compressibility of a soil sample are 6.75 × 10-2 and 3 × 10-2 respectively, the void ratio of the soil sample, is

  1. 1.1
  2. 1.15
  3. 1.2
  4. 1.3

Correct answer: (D)
1.3

120. If the cohesive force (c), is 1.5 t/m2, the density γ) of the soil is 2.0 t/m3, factor of safety (F) is 1.5 and stability factor (Sn) is 0.05, the safe height of a slope, is

  1. 5 metres
  2. 8 metres
  3. 10 metres
  4. 12 metres

Correct answer: (C)
10 metres

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