Questions by admin

\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 $...

Q. 103 A rigid tank of $2 \mathrm{~m}^{3}$ internal volume contains $5 \mathrm{~kg}$ of water as a saturated liquid-vapor mixture at $400 \mathrm{kPa}$. Half of the mass ...

Q. 104 Consider a spark ignition engine which operates on an ideal air-standard Otto cycle. It uses a fuel which produces $44 \mathrm{MJ} / \mathrm{kg}$ of heat in the en...

Q. 105 A refrigerator operates on an ideal vapor compression cycle between the pressure limits of $140 \mathrm{kPa}$ and $800 \mathrm{kPa}$. The working fluid is the refr...

Q. 106A steam power plant operates on a simple ideal Rankine cycle. The condenser pressure is $10 \mathrm{kPa}$ and the boiler pressure is $5 \mathrm{MPa}$. The steam ent...

Q. 107In an air-conditioning system, air enters at $20{ }^{\circ} \mathrm{C}$ and $30 \%$ relative humidity at a steady rate of $30 \mathrm{~m}^{3} / \mathrm{min}$ in a h...

Q. 108 An office uses a heat pump to receive $500 \mathrm{~kJ} /$ day heat in winter to maintain its temperature at $300 \mathrm{~K}$. The ambient temperature is $280 \ma...

Q. 109In a liquid-vapour phase change process, $\left(\frac{\mathrm{d} P}{\mathrm{~d} T}\right)_{\text {sat }}$ at $100{ }^{\circ} \mathrm{C}$ for saturated water is $375...

\begin{tabular}{|l|l|}\hline Q.110 & Which one of the monomers given is used in the synthesis of cellulose? \\\hline & \\\hline& Fructose \\\hline& Lactic acid \\\hline& ...

\begin{tabular}{|l|l|}Q. 111 & \begin{tabular}{l}A copper wire upon loading instantaneously increases in length to $l$, and then \\continues to elongate gradually. Upon u...

\begin{tabular}{|l|l|}Q. 112 & Consider the structure of a crosslinked polymer shown in the figure. From the \\options given, identify the monomers that are used in the s...

\begin{tabular}{l|l}Q. 113 & \begin{tabular}{l}Among the options given, choose the most suitable compatibilizer for blending \\Polyvinylidene fluoride (PVDF) and Acryloni...

\begin{tabular}{|c|c|c|c|c|}\hline \multirow[t]{3}{*}{ Q. 114} & \multicolumn{4}{|c|}{\begin{tabular}{l}A high molecular weight polymer passes through different zones fro...

\begin{tabular}{|l|l|}Q.115 & \begin{tabular}{l}Polymer wetting is improved by the addition of fillers with functional groups. In a \\typical case-study, natural-clay was...