GATE Civil Engineering (CE) 2021 Shift 1 Solved Paper

An unsupported slope of height 15 m is shown in the figure (not to scale), in which the slope face makes an angle of 50° with the horizontal. The slope material comprises purely cohesive soil having undrained cohesion 75 kPa. A trail slip circle KLM, with a radius of 25 m, passes through the crest and toe of the slope and it subtends an angle of 60° at its center O. The weight of the active soil mass (W, bounded by KLMN) is 2500 kN/m, which is acting at a horizontal distance of 10 m from the toe of the slope. Consider the water table to be present at a very large depth from the ground surface

Consider the trail slip circle KLM, the factor of safety against the failure of slope under undrained condition (round off to two decimal places) is ________.