Recent questions

Two identical rigid slender bars of length $2$ L and mass $m$ are acted upon by a transverse force F at one of the ends as shown in the figure. In the first case, the bar...

A critical point on a component is subjected to the state of stress $[\sigma]$ as given in the following. The yield strength of the material is $400$ MPa . By considering...

A plane passing through a point $\text{Q}$ inside a body is shown. The unit normal of the plane is $\hat{n}=0.6 \hat{\imath}+0.8 \hat{\jmath}$, as shown in the figure. Th...

A rigid massless bar $\text{PQR}$ is hinged at its end $\text{P}$ and supported through a spring of stiffness $k$ at point $\text{Q}$. A vertically downward force $W=560 ...

A beam of rectangular cross-section, as shown in the figure, is made of two perfectly bonded layers of different materials and equal thickness. The Young's moduli of the ...

A stepped beam is made of a material whose Young's modulus is $E$. The dimensions of the two stepped sections are such that the sectional moments of inertia, $I_{1}$ and ...

A cylindrical pressure vessel is constructed by bolting two symmetric halves of flanged semi-cylindrical shells. A cross-sectional view of the vessel is shown in the figu...

A turn-table is rotating about its center with an angular velocity of $2 \mathrm{rad} / \mathrm{s}$ in the counter-clockwise direction. There is a groove in the turn-tabl...

The system shown in the figure is in static equilibrium. The spring is massless and has a spring constant of $\mathrm{K}=1 \mathrm{kN} / \mathrm{m}$. The free length of t...

A square block of side $1$ m and mass $10$ kg is resting on a horizontal surface. The coefficient of static friction between the block and the surface is $0.75$. A horizo...

A heat source at temperature $T_{H}$ transfers the same amount of heat to a sink under the following situations:Case A: Sink is at temperature $T_{L, 1}$Case B: Sink is a...

Given $v$ is the molar specific volume, $P$ is the pressure, $T$ is the temperature, $R$ is the Universal gas constant, and $a, b$ are van der Waal's constants.The van de...

The temperature of $10$ g of liquid water $\left(c_{p}=4.2 \mathrm{~J} / \mathrm{g} . \mathrm{K}\right)$ in an insulated container is raised by $5$ K by stirring. The amo...

The figure shows four different processes labeled $1,2,3$, and $4$ for the same closed system containing an ideal gas. The curves labeled $T_{1}, T_{2}$, and $T_{3}$ are ...

A power plant operates on a simple ideal Rankine cycle. If superheating is added to this cycle, then which one of the following options is CORRECT ?Pump work increases, t...

A closed system containing an unknown substance undergoes an adiabatic process governed by the relation $P V^{\gamma}=$ constant, where $P$ is pressure, $V$ is volume, an...

Two rigid, impermeable containers $A$ and $B$ are filled with an ideal gas. They are allowed to exchange heat only with each other and not with the surroundings. $P, V, N...

Following data is for an actual vapour compression refrigeration cycle. Enthalpy at compressor inlet: $246 \mathrm{~kJ} / \mathrm{kg}$Enthalpy at compressor exit: $286 \m...

A rigid tank, initially at $1$ bar and $300$ K, contains $5$ moles of $\mathrm{O}_{2}, 4$ moles of $\mathrm{N}_{2}$, and 3 moles of $\mathrm{H}_{2}$. From this tank, $2$ ...

A fixed mass of an ideal gas undergoes two different cycles $\mathbf{M}$ and $\mathbf{N}$ as shown in the Pressure $(P)$ - Volume $(V)$ diagrams. Based on the information...

In a graph with Helmholtz function on the $y$-axis and volume on the $x$-axis, the slope of the isothermal curves for a finite volume system containing an ideal gas isalw...

Match each quantity in Column $\mathbf{M}$ with the appropriate relation from Column $\mathbf{N}$. Here, $\psi$ is Helmholtz function, $P$ is pressure, $v$ is specific vo...

$10$ kg of water at $300$ K is poured into a bucket containing $10$ kg of water at $350$ K . Heat capacity of water is $4.2 \mathrm{~kJ} / \mathrm{kg}$. K . Neglecting an...

A Carnot engine operates between two temperatures $T_{1}$ and $T_{2}$ such that $T_{1}>T_{2}$. If the thermal efficiency of the engine is to be increased by changing one ...

The equation of state for a non-ideal gas is\[\frac{P v}{R T}=1+B P\]where $P$ is pressure, $v$ is specific volume, $R$ is the specific gas constant, $T$ is temperature, ...

Consider the following data from a Brayton cycle.Enthalpy at inlet to turbine; $1400 \mathrm{~kJ} / \mathrm{kg}$Enthalpy at exit of turbine: $880 \mathrm{~kJ} / \mathrm{k...

An ideal gas undergoes a series of reversible steady state, steady flow processes between states $1,2$, and $3$. Process $1 \rightarrow 2$ satisfies the relation $P+800 v...

Air $\text{(assumed as an ideal gas)}$ with a mass flow rate of $2.5 \mathrm{~kg} / \mathrm{s}$ enters a horizontal nozzle at $350 \mathrm{~K}, 350 \mathrm{kPa}$ with a v...

The melting point of a substance at $1$ bar is $273$ K . The following property data is available for this substance at $1$ bar.Density of the solid phase$900 \mathrm{~kg...

$100$ moles of moist air at $70 \%$ relative humidity is cooled from $70^{\circ} \mathrm{C}$ to $50^{\circ} \mathrm{C}$ at a constant pressure of $1$ bar . The vapour pre...

A rigid insulated tank containing an ideal gas at $300$ K and $1$ bar is being filled from an external pressurized line supplying the same gas at $300$ K and $10$ bar. Wh...

A piston-cylinder system contains $2$ kg of wet steam at $90^{\circ} \mathrm{C}$ with quality of $0.1$. The piston is loaded with a linear spring. The steam expands to $8...

Phenol-formaldehyde resin is prepared bycondensation polymerizationcationic polymerizationanionic polymerizationring opening polymerization

Melting phenomenon in a semi-crystalline polymer is a __________ order phase transition.zerothfirstsecondthird

A certain polymer synthesized in the laboratory shows that all the chains have same number of repeat units $\text{(i.e., same degree of polymerization)}$. The relationshi...

Nitrile rubber is the copolymer ofstyrene and butadienestyrene and isoprenestyrene and acrylonitrilebutadiene and acrylonitrile

A suitable physical compatibilizer of a binary blend of poly(ethylene) and poly$\text{(propylene)}$ is __________.poly$\text{(caprolactam)}$poly$\text{(lactic acid)}$poly...

The 'die swell' phenomenon exhibited by a polymer melt is due toviscous deformationplastic deformationviscous and elastic deformationelastic recovery

Thermoforming operation of semi-crystalline polymers with glass transition temperature, $T_{g}$, and melting temperature, $T_{m}$, is carried out at a temperature $T$, in...

Feedstock recycling of poly$\text{(ethylene terephthalate)}$ is carried out byhydrogenationdehydrogenationhydrolysisozonation