The un-confined compressive strength of a soil in an un-disturbed and disturbed state is found to be \(100\) kPa and \(50\) kPa respectively. What is the sensitivity of the soil?
Show Hint
Sensitivity of clay is
\[
\boxed{
S_t=\frac{\text{Undisturbed Strength}}{\text{Remoulded Strength}}
}
\]
Greater sensitivity indicates a greater loss of strength after remoulding.
Concept:
Sensitivity of a clay is defined as the ratio of the unconfined compressive strength of the undisturbed soil to that of the remoulded (disturbed) soil at the same water content.
It is given by
\[
\boxed{
S_t=\frac{q_{u(\text{undisturbed})}}{q_{u(\text{remoulded})}}
}
\]
where
\[
q_u=\text{Unconfined compressive strength}.
\]
Step 1: Write the given data.
\[
q_{u(\text{undisturbed})}=100\text{ kPa}
\]
\[
q_{u(\text{disturbed})}=50\text{ kPa}
\]
Step 2: Calculate the sensitivity.
Using
\[
S_t=\frac{100}{50}=2.
\]
Hence,
\[
\boxed{S_t=2.00}
\]
Therefore, the correct option is
\[
\boxed{(D)\;2.00.}
\]