Polydisperse and colloidal
Step 1: Understanding dispersion and classification. - Monodisperse systems contain particles of uniform size. - Polydisperse systems contain particles of varying sizes. - Coarse dispersions have particle sizes larger than 1 μm. - Colloidal dispersions contain particles between 1 nm and 1 μm.
Step 2: Analyzing the given system. - Given particle diameter = 10 Mm (10 μm). - 10 μm is larger than 1 μm, indicating a coarse dispersion. - The term uniform particles suggests a monodisperse system.
Step 3: Explanation of incorrect options. - (B) Monodisperse and colloidal: Incorrect, as 10 μm is too large for a colloidal system. - (C) Polydisperse and coarse: Incorrect, as the system is described as having uniform particles. - (D) Polydisperse and colloidal: Incorrect for both polydispersity and colloidal range.
Step 4: Selecting the correct option. Since the system is monodisperse and in the coarse range, the correct answer is (A) Monodisperse and coarse.
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:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.