List of practice Questions

Choose the transfer function that best fits the output response to a unit step input change shown in the figure:

The vortex shedding meter is primarily used for measuring

Choose the CORRECT statement that describes the dependence of the variance ($ \sigma^2_\Theta $) of the residence time distribution (RTD) with respect to the number of tanks ($ n $) in the Tanks-in-Series model of non-ideal reactors.

If $ k $ is the mass transfer coefficient and $ D_v $ is the molecular diffusivity, which one of the following statements is NOT CORRECT with respect to mass transfer theories?

Schmidt number is defined as

Choose the CORRECT option for pathlines, streaklines and streamlines for a STEADY flow field.

The sum of the components of the force due to pressure and shear at the solid-fluid boundary of a solid body in the direction normal to the flow is:

In industrial heat exchanger design, the overall heat transfer coefficient $ U $ is estimated from the equation: \[ \frac{1}{U} = \frac{1}{h_i} + \frac{1}{h_o} \] where $ h_i $ and $ h_o $ are the convective heat transfer coefficients on the inner and outer side of the tube, respectively. This is valid for (i) tube of (ii) thermal conductivity.
Which one of the following is the CORRECT option to fill in the gaps (i) and (ii)?

The boundary of a system does not allow exchange of either mass or energy (in the form of heat and/or work) with the surroundings. The system is termed

A box contains 3 identical green balls and 7 identical blue balls. Two balls are randomly drawn without replacement from the box. The probability of drawing 1 green and 1 blue ball is

Consider a Cartesian coordinate system defined over a 3-dimensional vector space with orthogonal unit basis vectors $\hat{i}, \hat{j}$, and $\hat{k}$. Let vector $\mathbf{a} = \sqrt{2}\hat{i} + \frac{1}{\sqrt{2}}\hat{k}$, and vector $\mathbf{b} = \frac{1}{\sqrt{2}}\hat{i} + \sqrt{2}\hat{j} - \hat{k}$. The inner product of these vectors ($\mathbf{a} \cdot \mathbf{b}$) is:

To manufacture paper from ______(i) _______, the ________ (ii) _______ must be freed from the binding matrix of ________(iii) ________ in the pulping step. Which one of the following is the CORRECT option to fill in the gaps (i), (ii) and (iii)?

The block diagram of a series cascade control system (with time in minutes) is shown in the figure. For $ \tau_1 = 8 $ min and $ K_s^c = 1 $, the maximum value of $ K_m^c $, below which the cascade control system is stable, is \_\_\_\_ (rounded off to the nearest integer).
\includegraphics[width=0.5\linewidth]{62.png}

An adiabatic pump of efficiency 40% is used to increase the water pressure from 200 kPa to 600 kPa. The flow rate of water is 600 L/min. The specific heat of water is 4.2 kJ/(kg°C). Assuming water is incompressible with a density of 1000 kg/m³, the maximum temperature rise of water across the pump is \_\_\_\_°C (rounded off to 3 decimal places).

A zero-order gas phase reaction $A \to B$ with rate $(-r_A) = k = 100$ mol/(L min) is carried out in a mixed flow reactor of volume 1 L. Pure $A$ is fed to the reactor at a rate of 1 mol/min. At time $t = 0$, the outlet flow is stopped while the inlet flow rate and reactor temperature remain unchanged. Assume that the reactor was operating under steady state before the flow was stopped ($t<0$). The rate of consumption of $A$, $-\frac{dC_A}{dt}$, in mol/(L min), at $t = 1$ min is:

Consider a Cartesian coordinate system with orthogonal unit basis vectors $ \hat{i}, \hat{j} $ defined over a domain: $ x, y \in [0,1] $. Choose the condition for which the divergence of the vector field $ \mathbf{v} = ax\hat{i} - by\hat{j} $ is zero.

Choose the CORRECT ordering of the diameter $ d $ of the different types of pores in a solid catalyst.

Consider two complex numbers $ z_1 = 1 - i $ and $ z_2 = i $. The argument of $ z_1z_2 $ is:

Given the equation: $$ 3^{x^2} = 27 \times 9^x $$ Find the value of: $$ \frac{2^{x^2}}{(2^x)^2} $$

The figure shows a circular portion of radius $ \frac{R}{2} $ removed from a disc of mass $ m $ and radius $ R $. The moment of inertia about an axis passing through the centre of mass of the disc and perpendicular to the plane is:

How many dehydrogenation reactions in Krebs cycle?

How many time needed for PCR?

What is the primary function of Bowman’s capsule in nephron?

Disorder caused due to accumulation of amyloid proteins in CNS.

The heat of formation of $ \text{SO}_2(g) $ is given by: $$ S(g) + \frac{3}{2} O_2(g) \rightarrow SO_3(g) + 2x \, \text{kcal} $$ $$ SO_2(g) + \frac{1}{2} O_2(g) \rightarrow SO_3(g) + y \, \text{kcal} $$