Question 1. The drainage area of a watershed is 50 km2. The φ index is 0.5 cm/hour and the base flow at the outlet is 10 m3/s. One hour unit hydrograph (unit depth = 1 cm) of the watershed is triangular in shape with a time base of 15 hours. The peak ordinate occurs at 5 hours. The peak ordinate (in m3/s/cm) of the unit hydrograph is

Question 2. The effective stress friction angle of a saturated, cohesionless soil is 380. The ratio of shear stress to normal effective stress on the failure plane is

Question 3. An embankment is to be constructed with a granular soil (bulk unit weight = 20 kN/m3) on a saturated clayey silt deposit (undrained shear strength = 25 kPa). Assuming undrained general shear failure and bearing capacity factor of 5.7, the maximum height (in m) of the embankment at the point of failure is

Question 4. As per the Indian Standard soil classification system, a sample of silty clay with liquid limit of 40% and plasticity index of 28% is classified as

Question 5. Two series of compaction tests were performed in the laboratory on an inorganic clayey soil
employing two different levels of compaction energy per unit volume of soil. With regard to the
above tests, the following two statements are made. I The optimum moisture content is expected to be more for the tests with higher energy. II The maximum dry density is expected to be more for the tests with higher energy. The CORRECT option evaluating the above statements is

Question 6. Assertion [a]: At a manhole, the crown of the outgoing sewer should not be higher than the crown of the incoming sewer. Reason [r]: Transition from a larger diameter incoming sewer to a smaller diameter outgoing sewer at a manhole should not be made. The CORRECT option evaluating the above statements is :

Question 7. Two bitumen samples "X and "Y have softening points 45oC and 60oC, respectively. Consider the following statements: I. I Viscosity of "X will be higher than that of "Y at the same temperature. II Penetration value of "X will be lesser than that of "Y under standard conditions. The CORRECT option evaluating the above statements is

Question 8. Road roughness is measured using

Question 9. Which of the following errors can be eliminated by reciprocal measurements in differential leveling? I Error due to earth's curvature II Error due to atmospheric refraction

Question 10. The solution of the ordinary differential equation dy/dx + 2y = 0 for the boundary condition, y = 5 at x = 1 is