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In thermogravimetric analysis (TGA), weight change of a material sample during decomposition with temperature is shown in the figure below.$\mathrm{W}_{\mathrm{i}}$ and $...
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The work done by a body expanding from an initial state $\text{A}$ to the final state $\text{B}$, as shown in the $\text{P-V}$ diagram below, is $\text{(in units of litre...
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A binary phase diagram is given below.Which one of the following figures qualitatively represents the $\text{G-X}$ $\text{(Gibbs free energy - composition)}$ plot at temp...
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Which one of the following figures corresponds to the density of states $g(E)$ of a typical intrinsic semiconductor? $\text{(E represents the energy level of a charge car...
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The Miller indices for the shaded plane shown in the unit cell below is $[632]$$[123]$$(632)$$(123)$
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Which one of the following curves best represents the $E$ vs. $f(E)$ behavior of the hot end of a metal rod demonstrating Seebeck Effect? $\text{$( f(E)$ is the probabili...
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In a typical light emitting diode (LED), which of the following type(s) of materials is/are used?Indirect bandgap semiconductor with transition metal impuritiesDirect ban...
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Which of the following options is/are true for glass transition temperature $\mathrm{T}_{\mathrm{g}}$ ?Above $\mathrm{T}_{\mathrm{g}}$, glass transforms from an amorphous...
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Which of the following figures schematically represent(s) either the Frenkel defect or the Schotky defect in ionic solids?
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Given that k is the first order reaction rate constant and T is the temperature in absolute scale, the temperature dependence of rate constant is/are represented by.
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For chemical vapour deposition $\text{(CVD)}$ process, which of the following statements is/are correct?Target material is stripped off by the bombardment of positive ion...
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At room temperature, the electrical conductivity and electron mobility for aluminium are $3.8 \times 10^{7}(\Omega \mathrm{m})^{-1}$ and $0.0012 \mathrm{~m}^{2}(\mathrm{~...
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A $2$ mm thick palladium sheet of $1000 \mathrm{~mm}^{2}$ cross section is used as a diffusional membrane to purify hydrogen. The hydrogen concentration is maintained at ...
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In X-ray powder diffraction pattern obtained from a face centered cubic $\text{(FCC)}$ metal, the first five reflections are at $\theta=21.65^{\circ}, 25.21^{\circ}, 37.0...
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Consider a unidirectionally aligned continuous glass fibre reinforced epoxy composite with $40$ vol. $\%$ reinforcement. The elastic modulus of the composite along the fi...
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The engineering stress $(\sigma)$ vs. engineering strain $(\varepsilon)$ curve obtained by conducting uniaxial tension test on a steel specimen is shown in the figure $\t...
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An $\text{L}$-shaped rigid member is fixed at the midpoint of a simply-supported beam, as shown in figure $\text{(i)}$. The member is subjected to a vertically downward f...
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A block of weight $W$, placed on a surface, is subjected to a horizontal force $P$ as shown in the figure. The line of action of force $P$ passes through the center-ofgra...
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A mass $M$ is hung from a frictionless, massless pulley. The pulley is suspended by using an inextensible, massless rope of which one end is directly fixed to a support, ...
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A simply-supported beam of rectangular cross-section $\text{(width $w$ and height $h$)}$ is subjected to the loads as shown in the figure $\text{(i)}$. The enlarged view ...
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An ice-skater starts spinning during her performance. As she retracts her arms and legs closer to her body, her angular velocity __________.increasesdecreasesremains the ...
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A solid circular shaft of diameter $100$ mm is subjected to a torque $3 \pi \mathrm{kNm}$. Which of the following statements about the state of stress in the shaft is/are...
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A spring is connected to an elastic bar as shown in the figure. The spring has a stiffness constant of $10^{7} \mathrm{~N} / \mathrm{m}$. The bar is 70 mm long, and has a...
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A particle of mass $1$ kg is attached to one end of a spring having stiffness of $125$ $\mathrm{N} / \mathrm{m}$. The free length of the spring is $100$ mm . The system i...
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A $0-45-90$ strain gauge rosette is mounted on an aircraft wing. The co-ordinate system is placed such that the strain gauges $\mathrm{p}, \mathrm{q}$ and r are oriented ...
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A rigid bar PQR is hinged at its end P . As shown in the figure, the bar is pinconnected through two identical links QS and RT at points Q and R , respectively. The other...
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A pin-jointed truss has a pin support at the point E and a roller support at the point F. A horizontal force P is applied at pin H as shown in the figure. Which one of th...
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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...
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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...
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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...
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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 ...
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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 ...
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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 ...
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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...
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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...
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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...
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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...
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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...
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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...
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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...