Step 1: Identify stress states at the three locations.
Location I (near slope face/toe): The soil mass close to the free face tends to unload laterally and undergoes a reduction in minor principal stress, producing a tensile/extension stress path. Hence, behaviour is best captured by a triaxial extension test. $\Rightarrow$ I $\rightarrow$ Q.
Location II (along potential failure plane): This is the sliding interface. The shear strength mobilized along such a plane (including large-displacement/residual behaviour if needed) is most directly measured in a direct shear (shear box) test. $\Rightarrow$ II $\rightarrow$ R.
Location III (deeper beneath crest): Soil is under higher confining pressure and predominantly compressive stress state. Strength and dilation are appropriately assessed using a triaxial compression test. $\Rightarrow$ III $\rightarrow$ P.
Step 2: Match with options.
Mapping I--Q, II--R, III--P corresponds to option (A).
\[
\boxed{\text{I--Q,\; II--R,\; III--P}}
\]
The results of a consolidated drained triaxial test on a normally consolidated clay are shown in the figure. The angle of internal friction is
The figures, I, II, and III are parts of a sequence. Which one of the following options comes next in the sequence as IV?
For the beam and loading shown in the figure, the second derivative of the deflection curve of the beam at the mid-point of AC is given by \( \frac{\alpha M_0}{8EI} \). The value of \( \alpha \) is ........ (rounded off to the nearest integer).