Match the technologies in Group 1 with the entries in Group 2:
Group 1 | Group 2 |
---|---|
(P) Urea manufacture | (I) Microencapsulation |
(Q) Coal gasification | (II) Ultra-low sulphur diesel |
(R) Controlled release of chemicals | (III) Shale oil |
(S) Deep hydro-desulphurization | (IV) Prilling tower |
(V) Gas hydrates | |
(VI) Gas – solid non-catalytic reaction |
- Urea manufacture is associated with the use of Prilling tower, so \( P \) corresponds to \( IV \).
- Coal gasification typically involves gas-solid non-catalytic reactions, so \( Q \) corresponds to \( VI \).
- Controlled release of chemicals is related to microencapsulation, so \( R \) corresponds to \( I \).
- Deep hydro-desulphurization is linked with ultra-low sulphur diesel, so \( S \) corresponds to \( II \).
Conclusion:
The correct matching is (B) P-IV, Q-VI, R-I, S-II.
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.