Questions by admin

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...

Q. 63 Two moles of a monoatomic ideal gas at 10 atm and $300 \mathrm{~K}$ is expanded isothermally and reversibly to a pressure of $2 \mathrm{~atm}$. The absolute value o...

Q. 64An electrochemical cell consists of pure $\mathrm{Zn}$ electrode (anode) and a hydrogen electrode (cathode) in a dilute $\mathrm{Zn}^{+2}$ solution. The overall reac...

\begin{tabular}{l|l|}\hline Q. 65 & \begin{tabular}{l}In a Raman spectroscopy experiment done at $300 \mathrm{~K}$, a Raman line is observed at \\$200 \mathrm{~cm}^{-1}(\...

\begin{tabular}{l}Q. 66 \\A plane truss is simply supported at $P$ and $R$ as shown. A downward force $F$ is \\applied at hinge $Q$. The axial force developed in member $...

\begin{tabular}{l}Q.67 A massless rigid rod $O P$ of length $L$ is hinged frictionlessly at $O$. A concentrated \\mass $m$ is attached to end $P$ of the rod. Initially, t...

\begin{tabular}{|c|c|}\hline Q. 68 & \begin{tabular}{l}Two equivalent descriptions of the state of stress at a point are shown in the \\figure. The normal stresses $\sigm...

\begin{tabular}{l|l}Q.69 & The state of strain at a point in a machine component is given as \\$\varepsilon_{x x}=2.5 \times 10^{-4}, \varepsilon_{y y}=2.0 \times 10^{-4}...

\begin{tabular}{|l|l|}\hline Q.70 & A thin walled, closed cylindrical vessel of inside diameter $d$ and wall thickness $t$ \\contains a fluid under pressure $p$. The figu...

Q. 72 A rod is subjected to three forces as shown in the figure on the left. An equivalentforce system with forces $F_{1}, F_{2}$ and moment $M$ is shown in the figure on...

\[\text { Q. } 74\]For a plane stress problem, the principal stresses are $100 \mathrm{MPa}$ and $50 \mathrm{MPa}$. The magnitude of maximum shear stress (in $\mathrm{MPa...

\begin{tabular}{|c|c|}\hline Q. 75 & \begin{tabular}{l}A solid uniform rigid disk of mass $m$ and radius $R$ rolls without slipping along a \\horizontal surface $\mathrm{...