b$)$ A plate load test conducted at $1\mathrm{.}5$ m depth below ground level in a granular soil with a square test plate of size $450$ mm indicated a settlernent of $10$ mm under a load of $160k\frac{N}{m^2}.$ Estimate the settlement of a square footing of size $1\mathrm{.}5$ m in the same soil installed at same depth and subjected to same load intensity. How does the settlement of footing changes if the soil is saturated clay instead of sand?