Part I: MCQs $(0x-Q12).$ Circle the correc answer $(1$ mark each. total $12$ marks$)$

A process is initially at steady state with its output $y=1$ for an input $u=1.$ The input is suddenly Aprocess is initially at steady state with its output $y-1$ for an input $.$ The transfer function $G(s)$ of the changed to $2$ at time $t=0.$ The output response is $y(t)=1+2t.$ The process is

a$.\frac{2}{s}$

b$.\frac{2}{s+1}$

c$.\frac{2}{s^{?}}=1$

d$.\frac{2}{s+1}=$

For two$-$first order systems $\frac{1}{r_{3}s+1}$ and $\frac{1}{r_{2}s+1}$ connected in series. The damping coefficient $()$ of the resultant second order for the case ${}_1{}_2$

a$.<mn\; id="EditorElement\_11832893">1</mn>$

b$.>1$

c$.=1$

d$.=\frac{{}_1}{{}_2}$

The closed loop poles of a stable second order system can be

a$.$ both real and positive

b$.$ complex conjugate with positive real part

c$.$ both real and negative

d$.$ one real positive and the other real negative

A first order system with unity gain and time constant $$ is subjected to a sinusoidal input of frequency $=\frac{1}{x}.$ The amplitude ratio for this system is

a$.1$

b$.0\mathrm{.}5$

c$.\frac{1}{\sqrt[\phantom{2}]{2}}$

d$.0\mathrm{.}25$

In the case of a feed forward control scheme, which of the following is NOT true:

a$.$ Cannot cope with unmeasured disturbances

b$.$ It waits until the effect of the disturbance has been felt by the system before control action is taken

c$.$ Requires good knowledge of the process model

d$.$ Requires identification of all possible disturbances and their direct measurement

Temperature control of a exothermic chemical reaction taking place in a CSTR is done with the help of a cooling water flowing in a jacket around the reactor. The types of valve and controller action to be recommended are

a$.$ air to open valve with the controller direct acting

b$.$ air to close valve with the controller reverse acting

c$.$ air to open valve with the controller reverse acting

d$.$ air to close valve with the controller direct acting

For the time domain function $f(t)=t,$ the Laplace transform of ${\displaystyle \underset{0}{\overset{t}{}}}f(t)dt$ is given by

a$.\frac{1}{2s^3}$

b$.\frac{2}{s^3}$

c$.\frac{1}{s^3}$

d$.\frac{2}{s^2}$