Q$2$: Water flows through a $100$ mm diameter granular soil specimen as shown. The water levels on both sides are maintained constant during the test, and the void ratio of the soil is $0\mathrm{.}82,$ and $G_s=2\mathrm{.}68.$

a$.$ What is the maximum possible value for $h$ such that the soil does not reach quick condition?

b$.$ For $h=150mm,175ml$ of water was collected in $15$ minutes. Find the permeability of the soil and the effective vertical stress at A $220mm$ below the top of the sample.