Step 1: Recall the definitions.
- Liquid Limit (LL): The water content at which soil changes from plastic state to liquid state.
- Plastic Limit (PL): The water content at which soil changes from semi-solid state to plastic state.
- Shrinkage Limit (SL): The water content at which further loss of moisture does not result in decrease of soil volume.
Step 2: Relationship among the limits.
By definition:
\[
\text{LL} > \text{PL} > \text{SL}.
\]
Step 3: Conclusion.
Therefore, the correct relation is LL $>$ PL $>$ SL.
A weight of $500\,$N is held on a smooth plane inclined at $30^\circ$ to the horizontal by a force $P$ acting at $30^\circ$ to the inclined plane as shown. Then the value of force $P$ is:
A steel wire of $20$ mm diameter is bent into a circular shape of $10$ m radius. If modulus of elasticity of wire is $2\times10^{5}\ \text{N/mm}^2$, then the maximum bending stress induced in wire is: