#281
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A simply-supported beam, with a point load $\text{P}=150 \: \mathrm{kN}$ at a distance of $\text{L} / 3$ from the left end, is shown in the figure. The elastic-strain ene...
#282
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A simply-supported beam has a circular cross-section with a diameter of $20 \: \mathrm{mm}$ , area of $314.2 \mathrm{~mm}^{2}$, area moment of inertia of $7854 \mathrm{~m...
#283
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A massless cantilever beam, with a tip mass m of $10 \: \mathrm{kg}$, is modeled as an equivalent spring-mass system as shown in the figure. The beam is of length $\mathr...
#284
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An electric motor's rotor is spinning at $1500 \: \mathrm{rpm}$ when its load and power are cutoff. The rotor which has a mass of $50 \: \mathrm{ kg}$ and a radius of gyr...
#285
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A bar of length $\text{L}=1 \mathrm{~m}$ is fixed at one end. Before heating its free end has a gap of $\delta=0.1 \mathrm{~mm}$ from a rigid wall as shown in the figure....
#286
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​​​A tank is divided into two compartments with one compartment containing a gas at a given pressure, while the second is completely evacuated. If the partition is remove...
#287
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​​​​​​A cylinder of volume $0.1 \mathrm{~m}^{3}$ is filled with nitrogen at $10 \: \mathrm{MPa}$ and $300 \: \mathrm{K}$. Consider nitrogen to be an ideal gas. The cylind...
#288
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​​​​A closed system undergoes a process $1-2$ in which it absorbs $150 \: \mathrm{kJ}$ of energy as heat and does $90 \: \mathrm{kJ}$ of work. Then it follows another pro...
#289
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​​​The inlet and outlet temperatures of the flowing fluid during a steady state flow process are the same as that of the surroundings. If the changes in kinetic and poten...
#290
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​​​​​If $\gamma$ refers to the ratio of specific heats, the air-standard efficiency of an Otto cycle is$1-\frac{1}{(\text { Compression ratio })^{\gamma}}$$1-\frac{1}{(\t...
#291
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​​​​​Let $T_{H}$ and $T_{L}$ denote the absolute temperatures of high and low temperature reservoirs, respectively. The coefficient of performance of a reversible refrige...
#292
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A tank of $4 \: \mathrm{~m}^{3}$ contains an ideal gas mixture of $60 \%$ hydrogen and $40 \%$ nitrogen by volume at $100 \: \mathrm{kPa}$ and $300 \: \mathrm{K}$. Nitrog...
#293
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A heat engine having thermal efficiency of $40 \%$ receives heat from a source at $600 \: \mathrm{K}$ and rejects heat to a sink at $300 \: \mathrm{K}$. The second-law ef...
#294
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A rigid tank of $300 \: \mathrm{litre}$ capacity contains $3 \: \mathrm{kg}$ of oxygen (molar mass $=32 \mathrm{~kg} / \mathrm{kmol}$ ) at $25^{\circ} \mathrm{C}$. If oxy...
#295
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​​​​For an ideal gas turbine cycle, $T_{1}$ and $T_{3}$ are the compressor inlet temperature and turbine inlet temperature respectively. The ratio $\frac{T_{3}}{T_{1}}$ i...
#296
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​​​​For a pure substance that expands on freezing, which of the following statement(s) is/are $\textsf{CORRECT}$?Temperature of the liquid phase can be lower than the tem...
#297
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​​​​Consider a gas obeying the relation $P(v-b)=R T$, where $b$ and $R$ are constants. Which of the following statement(s) is/are CORRECT about the specific heat capacity...
#298
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A piston-cylinder arrangement contains an ideal gas mixture of $4 \: \mathrm{kg}$ of hydrogen and $13 \: \mathrm{kg}$ of nitrogen at $250 \: \mathrm{K}$ and atmospheric p...
#299
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Air in an ideal Diesel cycle is compressed from $3 \: \mathrm{litre}$ to $0.15 \: \mathrm{litre}$. It then expands during a constant pressure heat addition process to $0....
#300
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Air at $101 \: \mathrm{kPa}$, $15^{\circ} \mathrm{C}$ and $50 \%$ relative humidity is first heated to $20^{\circ} \mathrm{C}$ in a heating coil, and then humidified by s...
#301
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A stream of superheated steam ( $2 \mathrm{MPa}, \: 300^{\circ} \mathrm{C}$) mixes with another stream of superheated steam $\left(2 \mathrm{MPa}, \: 400^{\circ} \mathrm{...
#302
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A piston-cylinder assembly having $250 \: \mathrm{mm}$ diameter contains $0.01 \: \mathrm{kg}$ of water vapor at $1 \: \mathrm{MPa}$ and $200^{\circ} \mathrm{C}$. The spe...
#303
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Air enters a hair dryer at $22^{\circ} \mathrm{C}$ and $100 \: \mathrm{kPa}$ with a velocity of $3.7 \mathrm{~m} / \mathrm{s}$, and leaves the dryer at $83{ }^{\circ} \ma...
#304
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A steam boiler contains saturated water vapour at $200^{\circ} \mathrm{C}$. After a certain period, the temperature of the boiler drops to $110^{\circ} \mathrm{C}$. Assum...
#305
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Two Carnot heat engines ($\text{E1}$ and $\text{E2}$) are operating in series as shown in figure. Engine $\text{E1}$ receives heat from a reservoir at $T_{H}=1600 \mathrm...
#306
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A particular temperature scale is obtained according to the relation:$$t=a e^{\alpha}+b$$where $a$ and $b$ are constants, and $t$ is in ${ }^{\circ} \mathrm{C}$.The therm...
#307
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In a piston cylinder assembly, one $\mathrm{kmol}$ of an ideal gas is compressed from an initial state of $200 \: \mathrm{kPa}$ and $400 \:\mathrm{ K}$ to a final state o...
#308
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​​​​Which one of the following measures of viscosity is dimensionless?Inherent viscosityReduced viscosityZero-shear viscositySpecific viscosity
#309
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​​​​Which one of the following permits the direct determination of intrinsic viscosity of a polymer solution for known molecular weight of the polymer?Flory-Huggins equat...
#310
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​​​Under which combination of conditions does the glass transition of a polymer increase?Increase in molecular weight and increase in plasticizer contentIncrease in plast...
#311
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​​​​In a polymer recycling plant, polymer " $\mathbf{X}$ " was depolymerized by glycolysis in the presence of ethylene glycol and a suitable catalyst. The glycolysis reac...
#312
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​​​​Polymer " $\mathbf{Z}$ " has a high melting point and it decomposes even before it melts. Hence, it is usually dissolved and subsequently regenerated. Rayon is one su...
#313
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​​Match the Product with the most appropriate Processing Technique employed.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Product} & & \textbf{Processing Technique} \\ \hli...
#314
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​​​Crystallization is favored in polymer melts when the chain entanglement is $\_\_\_\_\_$ and only polymers with $\_\_\_\_\_$ molecular arrangement can crystallize.maxim...
#315
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Match the $\textbf{Polymer}$ with the most suitable $\textbf{Monomer combinations}$ from which it is synthesized.$\begin{array}{|l|l|l|l|} \hline& \textbf{Polymer} && \te...
#316
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​​​Thermoplastic Polyurethane and Polyamide $6$ both contain amide linkages, but when compared to Polyurethane, Polyamide $6$ shows higher melting point due to $\_\_\_\_\...
#317
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​​​​Injection molding is typically used to make plastic parts. If the pressure at the gate is monitored as a function of time during the injection of a thermoplastic poly...
#318
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​​​​The 'unperturbed dimension' of the polymer chain is represented as,$$\left(\overline{r_{o}^{2}}\right)^{1 / 2} \propto \bar{l}(n)^{1 / 2}$$where,$\left(\overline{r_{o...
#319
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​​​Choose the option(s) that correctly match(es) the $\textbf{Zones}$ with their typical $\textbf{Functions}$ in an industrial extruder$$\begin{array}{|l|l|l|l|} \hline &...
#320
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​​​During material testing, stress is applied from time $t_{i}$ to $t_{f}$ as shown below:The corresponding strain responses for three different materials are shown in pl...