Recent questions

Among the following non-dimensional numbers, which one characterizes periodicity present in a transient flow?Froude numberStrouhal numberPeclet numbeLewis number

For an incompressible boundary layer flow over a flat plate shown in the figure, the momentum thickness is expressed as$\int_0^{\infty} \frac{u}{U_{\infty}} d y$$\int_0^{...

Among the shear stress versus shear strain rate curves shown in the figure, which one corresponds to a shear thinning fluid ? $\mathrm{P}$$\mathrm{Q}$$\mathrm{R}$$\mathrm...

Consider steady incompressible flow over a flat plate, where the dashed line represents the edge of the boundary layer, as shown in the figure. Which one among the follow...

An inviscid steady incompressible flow is formed by combining a uniform flow with velocity $U_{\infty}$ and a clockwise vortex of strength $K$ at the origin, as shown in ...

Which of the following statements are true?$\text{(i)}$ Conservation of mass for an unsteady incompressible flow can be represented as $\nabla \cdot \vec{V}=0$, where $\v...

For a two-dimensional flow field given as $\vec{V}=-x \hat{\imath}+y \hat{\jmath}$, a streamline passes through points $(2,1)$ and $(5, p)$. The value of $p$ is$5$$5 / 2$...

A stationary object is fully submerged in a static fluid, as shown in the figure. Here, $\text{CG}$ and $\mathrm{CB}$ stand for center of gravity and center of buoyancy, ...

Consider steady fully-developed incompressible flow of a Newtonian fluid between two infinite parallel flat plates. The plates move in the opposite directions, as shown i...

\begin{tabular}{|c|c|}\hline Q. 32 & \begin{tabular}{l}A two-dimensional incompressible flow field is defined as, \\$\qquad \vec{V}(x, y)=(A x y) \hat{\imath}+\left(B y^{...

\begin{tabular}{l|l}Q. 33 & For a potential flow, the fluid velocity is given by $\vec{V}(x, y)=u \hat{\imath}+v \hat{\jmath}$. The slope \\of the potential line at $(x, ...

\begin{tabular}{|c|c|}\hline Q. 34 & \begin{tabular}{l}Consider steady incompressible flow of a Newtonian fluid over a horizontal flat \\plate, as shown in the figure. Th...

\begin{tabular}{l|l}Q. 35 & In a steady two-dimensional compressible flow, $u$ and $v$ are the $x$ - and $y$ - \\components of flow velocity, respectively and $\rho$ is t...

Q. 36 A water jet (density $=1000 \mathrm{~kg} / \mathrm{m}^{3}$ ) is approaching a vertical plate, having anorifice at the center, as shown in the figure. While a part o...

\begin{tabular}{|l}Q. 37 \\Water $\left(\right.$ density $\left.=1000 \mathrm{~kg} / \mathrm{m}^{3}\right)$ and alcohol (specific gravity $=0.7$ ) enter a \\Y-shaped chan...

Q. 38 The velocity and acceleration of a fluid particle are given as $\vec{V}=(-\hat{\imath}+2 \hat{\jmath}) \mathrm{m} / \mathrm{s}$ and $\vec{a}=(-2 \hat{\imath}-4 \hat...

Q. 39 A hydraulic turbine with rotor diameter of $100 \mathrm{~mm}$ produces $200 \mathrm{~W}$ of power while rotating at $300 \mathrm{rpm}$. Another dynamically-similar ...

Q. 40 Water (density $=1000 \mathrm{~kg} / \mathrm{m}^{3}$ ) flows steadily with a flow rate of $0.05 \mathrm{~m}^{3} / \mathrm{s}$ through a venturimeter having throat d...

\begin{tabular}{|c|c|c|}\hline Q. 41 & \multicolumn{2}{|c|}{\begin{tabular}{l}Water flows around a thin flat plate ( $0.25 \mathrm{~m}$ long, $2 \mathrm{~m}$ wide) with a...

Q. 42 Axial velocity profile $u(r)$ for an axisymmetric flow through a circular tube of radius $R$ is given as,\[\frac{u(r)}{U}=\left(1-\frac{r}{R}\right)^{1 / n}\]where ...

Q. 43 A stationary circular pipe of radius $R=0.5 \mathrm{~m}$ is half filled with water (density =$1000 \mathrm{~kg} / \mathrm{m}^{3}$ ), whereas the upper half is fille...

\begin{tabular}{|l|l|}Q.44 & \begin{tabular}{l}In age-hardening of an aluminium alloy, the purpose of solution treatment \\followed by quenching is to\end{tabular} \\\hli...

\begin{tabular}{|l|l|}\hline Q.48 & \begin{tabular}{l}Aliovalent doping of $M g C l_{2}$ in $\mathrm{NaCl}$ leads to the formation of defects. Which one \\of the followin...

\begin{tabular}{l|l}Q. 49 & \begin{tabular}{l}A screw dislocation in a FCC crystal has Burgers vector of $\frac{a}{2}[110]$, where $a$ is the \\lattice constant. The poss...

\begin{tabular}{c|c}Q. 50 & The tensile true stress $(\sigma)-$ true strain $(\epsilon)$ curve follows the Hollomon equation: \\$\qquad \sigma=500 \epsilon^{0.15} \mathrm...

Q. 51 A metal has a certain vacancy fraction at a temperature of $600 \mathrm{~K}$. On increasing the temperature to $900 \mathrm{~K}$, the vacancy fraction increases by ...

Q. 52 In a semiconductor, the ratio of electronic mobility to hole mobility is 10 . The density of electrons and holes are $10^{15} \mathrm{~m}^{-3}$ and $10^{16} \mathrm...

\begin{tabular}{|l|l|}\hline Q. 53 & \begin{tabular}{l}A student performed X-ray diffraction experiment on a FCC polycrystalline pure \\metal. The following $\sin ^{2} \t...

\begin{tabular}{|c|c|c|}\hline \multirow[t]{6}{*}{ Q. 55} & \multicolumn{2}{|c|}{ Match the hardness test (in Column I) with its indenter type (in Column II). } \\\hline ...

\begin{tabular}{|c|c|c|}\hline Q. 56 & \multicolumn{2}{|c|}{\begin{tabular}{l}TTT diagram of a eutectoid steel is shown below. Match the heat treatment cycle (ir \\Column...

\begin{tabular}{l|l}Q. 57 & Which of the following statement(s) is/are true for an optical microscope? \\\hline& Increasing the aperture of the objective lens deteriorate...

\begin{tabular}{|l|l|}\hline Q. 58 & \begin{tabular}{l}Among the 14 Bravais lattices, there is no base centred cubic unit cell. Which of \\the following statement(s) is/a...

\begin{tabular}{l|l}Q.59 & Specific heat $\left(C_{v}\right)$ of a material was found to depend on temperature as shown \\below. Which of the following statement(s) is/ar...

\begin{tabular}{|l|l}\hline Q. 60 & \begin{tabular}{l}A pure Silicon wafer is doped with Boron by exposing it to $\mathrm{B}_{2} \mathrm{O}_{3}$ vapour at an \\elevated t...

\begin{tabular}{l|l}Q. 61 & \begin{tabular}{l}The Young's modulus of a quartz piezoelectric crystal is $100 \mathrm{GPa}$. The uniaxial \\stress required to change its po...

Q. 62 A one-dimensional nanowire has a linear electron density of $10^{8}$ electrons $\mathrm{cm}^{-1}$. The Fermi energy of the system is (in $\mathrm{eV}$ ) (rounded of...