GATE Civil Engineering (CE) 2019 Shift 2 Solved Paper

Constant head permeability tests were performed on two soil specimens, S1 and SThe ratio of height of the two specimens $\left({\mathit{L}}_{\mathit{S}1}:{\mathit{L}}_{\mathit{S}2}\right)$ is $1.5$, the ratio of the diameter of specimens (D_{S1}:D_{S2}) is $0.5$, and the ratio of the constant head $({\mathit{h}}_{\mathit{s}1}:{\mathit{h}}_{\mathit{s}2}$ ) applied on the specimens is $2.0$. If the discharge from both the specimens is equal, the ratio of the permeability of the soil specimens $\left({\mathit{k}}_{\mathit{s}1}:{\mathit{k}}_{\mathit{s}2}\right)$ is