Recent questions

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{...

\begin{tabular}{|l|l|}\hline Q.76 & A cylinder made of rubber (length $=L$ and diameter $=d)$ is inserted in a rigid \\container as shown in the figure. The rubber cylind...

\begin{tabular}{|c|}\hline \begin{tabular}{l}The state of stress at the critical location in a structure is $\sigma_{x x}=420 \mathrm{MPa}$, \\$\sigma_{y y}=100 \mathrm{M...

Q. 78The figure shows a column of rectangular cross section $100 \mathrm{~mm} \times 80 \mathrm{~mm}$. Itcarries a load of $60 \mathrm{kN}$ at a point $30 \mathrm{~mm}$ f...

\begin{tabular}{|l|l}Q.79 & Consider an electric pole with dimensions as shown in the figure. Let the end $R$ be \\subjected to a vertical force $F$. The flexural rigidit...

Q.80 A uniform cantilever beam has flexural rigidity $E I$ and length $L$. It is subjected toa concentrated force $F$ and moment $M=2 F L$ at the free end as shown. Thede...

Q. 81 A steel ball of mass $m=10 \mathrm{~kg}$ is suspended from the ceiling of a moving carriage by two inextensible strings making $60^{\circ}$ with the horizontal as s...

Q. 82 A block of mass $m=10 \mathrm{~kg}$ is lying on an inclined plane $\mathrm{PQ}$. The mass isrestrained from sliding down the inclined plane by a force $F$. The coef...

Q. 83A spherical rigid ball of mass $10 \mathrm{~kg}$ is moving with a speed of $2 \mathrm{~m} / \mathrm{s}$ in thedirection shown. The ball collides with a rigid frictio...

Q. 84A thin steel plate is loaded in the $x$-y plane as shown in the figure. Take thePoisson's ratio of steel to be 0.3 and the modulus of elasticity of steel to be 200$\...

Q. 86 A slender uniform elastic rod of length $1 \mathrm{~m}$ and of solid circular cross-section of diameter $50 \mathrm{~mm}$ is originally straight. It is then loaded ...

Q. 87 Consider a solid cylindrical shaft and a hollow cylindrical shaft. Both shafts are axisymmetric and elastic, and have the same cross-sectional area. The hollow shaf...

\begin{tabular}{|l|ll}Q.88 & $\mathbf{A}$ & \begin{tabular}{c}The number of properties required to fix the state of a system is given by \\'state postulate'. \\$\mathbf{R...

\begin{tabular}{|l|l|}\hline Q.89 & Which of the following is an extensive property of a system? \\\hline& Density \\\hline& Pressure \\\hline& Temperature \\\hline& Tota...

\begin{tabular}{|c|c|}\hline Q. 90 & \begin{tabular}{l}A tank of volume $V$ contains homogeneous mixture of two ideal gases, A and B at \\a temperature $T$ and a pressure...

\begin{tabular}{|l|l|}\hline Q.93 & Adiabatic bulk modulus of a substance is defined as \\\hline& $-\frac{1}{v}\left(\frac{\partial v}{\partial P}\right)_{T}$ \\\hline& $...

\begin{tabular}{|c|c|}\hline Q. 94 & \begin{tabular}{l}An insulated rigid closed tank of $2 \mathrm{~m}^{3}$ internal volume contains saturated liquid- \\vapor mixture of...

Q. 95 A rigid closed tank contains $2 \mathrm{~kg}$ of an ideal gas at $500 \mathrm{kPa}$ and $350 \mathrm{~K}$. A valve is opened, and half of the mass of the gas is all...

Q. 96 Air at $400 \mathrm{~K}$ and $200 \mathrm{kPa}$ is heated at constant pressure to $600 \mathrm{~K}$. Assuming that the internal energy is a function of temperature ...

\begin{tabular}{|c|c|}\hline Q. 97 & \begin{tabular}{l}A rigid closed tank having a volume of $2 \mathrm{~m}^{3}$ contains $0.1 \mathrm{~m}^{3}$ of saturated liquid \\wat...

\begin{tabular}{|l|l|}Q.98 & \begin{tabular}{l}An ideal Diesel cycle has a compression ratio of 20 and cut-off ratio of 1.5. At the \\beginning of the compression stroke,...

\begin{tabular}{l|l}Q. 99 & \begin{tabular}{l}A $5 \mathrm{~kg}$ metal block $\left(c_{p}=0.5 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}\right)$ at $373 \mathrm{~K}$ is submer...

Q. 101A piston-cylinder device initially contains $1 \mathrm{~m}^{3}$ of air at $200 \mathrm{kPa}$ and $25^{\circ} \mathrm{C}$. Air expands at constant pressure while a h...

Q. 102Steam at $2 \mathrm{MPa}$ and $300^{\circ} \mathrm{C}$ steadily enters a nozzle of inlet diameter of $20 \mathrm{~cm}$. Steam leaves the nozzle with a velocity of $...