Step 1: Understanding the permeability measurement. - The Constant Head Permeameter is best suited for highly permeable soils (e.g., sand) and not for impermeable soils like clay. - Falling Head Permeameter is preferred for impermeable soils.
Step 2: Effect of Viscosity on Permeability. - Permeability decreases as the viscosity of the pore fluid increases, since fluid movement is hindered.
Step 3: Effect of Temperature on Permeability. - Higher temperature reduces viscosity, which increases permeability. Thus, statements 2 and 3 are correct, but statement 1 is incorrect, making option (C) 2 and 3 are correct the right choice.
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is: