List of top Geotechnical Engineering Questions on Stability of Slopes asked in GATE CE

An infinite slope with slope angle $\beta = 22^{\circ}$ consists of soil with the following properties:
Unit weight $\gamma = 15.72$ kN/m$^3$
Cohesion $c' = 12$ kPa
Angle of internal friction $\phi' = 15^{\circ}$
The critical height of the slope (in m) is (rounded off to two decimal places).

A soil having the average properties, bulk unit weight $=19\, \text{kN/m}^3$, angle of internal friction $=25^\circ$ and cohesion $=15\, \text{kPa}$, is being formed on a rock slope at an inclination of $35^\circ$ with the horizontal. The critical height (in m) of the soil formation up to which it would be stable without failure is \underline{\hspace{2cm}} (round off to one decimal place). [Assume the soil is formed parallel to the rock bedding plane and there is no ground water effect.]

A soil having the average properties, bulk unit weight $=19\\{kN/m}^3$, angle of internal friction =25 degree and cohesion $=15\\{kPa}$, is being formed on a rock slope at an inclination of 35 degree with the horizontal. The critical height (in m) of the soil formation up to which it would be stable without failure is (round off to one decimal place). [Assume the soil is formed parallel to the rock bedding plane and there is no ground water effect.]