Recent questions

An oil of density $870 \mathrm{~kg} / \mathrm{m}^{3}$ and viscosity $0.036 \: \mathrm{Pa.s}$ flows through a straight pipe of $10 \: \mathrm{cm }$ diameter and $1.5 \: \m...

​​​​The figure below shows a plane $\text{PQR}$ in a unit cell. The Miller indices of the plane $\text{PQR}$ is$(432)$$(43 \overline{2})$$(23 \overline{4})$$(\overline{2}...

​​​​​The unit of measurement for magnetic dipole moment of a body is$\mathrm{A} \: \mathrm{m}^{2}$$\mathrm{A} \: \mathrm{m}^{-1}$$\mathrm{Wb} \: \mathrm{m}^{-2}$$\mathrm{...

​​​​$B$ is the magnetic flux density and $T_{c}$ is the critical temperature. The Meissner effect is represented by$\mathrm{B}=0$ at $\mathrm{T} \leq \mathrm{T}_{\mathrm{...

​For $\mathrm{Al}-4.5 \mathrm{wt} \% \mathrm{Cu}$ alloy, the correct sequence of precipitation during age hardening at room temperature isGP zone $\rightarrow \theta^{\pr...

​​​​​There is $\textsf{NO}$ base-centered cubic lattice among the list of $14$ Bravais lattices because of one or more of the following reasonsIt does $\textsf{NOT}$ have...

​For a conventional optical microscope, which of the following options regarding the resolution limit and the depth of field is/are correct?Resolution limit decreases wit...

​​​Which of the following phenomenon/phenomena contribute to intensity loss of electromagnetic radiation during transmission through a medium?Electronic absorptionRayleig...

If solid tin is in equilibrium with its vapor, the degree of freedom is (answer in integer) $\_\_\_\_\_\_$

A $\textsf{GaP-GaAs}$ semiconductor $\textsf{LED}$ display has a band gap of $1.9 \: \mathrm{eV}$. The wavelength of emitted light in $\mu \mathrm{m}$ is (rounded off to ...

In an $\textsf{FCC}$ crystal with lattice parameter $a$, consider the reaction of two leading partial dislocations, $\text{AB}$ and $\text{CD}$, at the line of intersecti...

​​​Match the detector for a scanning electron microscope $\textsf{(SEM)}$ in $\textbf{Column I}$ with the resulting output in $\textbf{Column II}$.$\textsf{SE}$: Secondar...

​​The triple point $\left(T_{l}, P_{l}\right)$ is shown in a schematic phase diagram (pressure $(\mathrm{P})-$ temperature $(\mathrm{T})$ plot) for one component system. ...

The $\textsf{TTT}$ diagram for eutectoid steel is shown below. The steel after complete austenitization at $1073 \: \mathrm{K}$ is rapidly cooled to different temperature...

A diffraction pattern is obtained from a powdered sample of a pure element, which has $\textsf{FCC}$ crystal structure. If $x$ and $y$ are the Bragg angles of the first a...

For a pure element with a $\textsf{BCC}$ crystal structure, the surface energies per unit area of $\{100\}$ and $\{110\}$ free surfaces are $S_{100}$ and $S_{110}$, respe...

On applying $10 \: \mathrm{V}$ across the two ends of a $100 \: \mathrm{cm}$ long copper wire, the average drift velocity (in $\mathrm{cm}\: \mathrm{s}^{-1}$ ) in the wir...

An aluminum transmission line of $7 \: \mathrm{km}$ length is designed to carry $100 \: \mathrm{A}$ current with no more than $2 \: \mathrm{MW}$ power loss. The required ...

An electric field is applied on a copper plate such that the electrons are displaced by $1.1 \times 10^{-18} \mathrm{~m}$ relative to the nucleus. The electronic polariza...

The standard free energy change for the reaction, $\mathrm{SO}_{2}+\frac{1}{2} \mathrm{O}_{2} \rightleftharpoons \mathrm{SO}_{3}$ at equilibrium is given by $\Delta \text...

The slopes of reduction potential versus pH plots for the two reactions, $\mathrm{NiO}+2 \mathrm{H}^{+}+2 \mathrm{e}^{-} \rightleftharpoons \mathrm{Ni}+\mathrm{H}_{2} \ma...

At $873 \: \mathrm{K}$ , hydrogen diffuses under steady state condition through a $5\: \mathrm{mm}$ thick palladium sheet with a cross-sectional area of $0.3 \mathrm{~m}^...

Corrosion of pure iron takes place in an acidic electrolyte by forming $\mathrm{Fe}^{2+}$ ions at ambient condition. The corrosion current density is measured to be $2 \t...

Consider a spring-mass system with mass $m$ and spring stiffness $k$ as shown in the illustration. At time $t=0$, the mass is displaced by $P$ units and the velocity of t...

​​​A ball of mass $5 \mathrm{m}$ approaches a stationary ball of mass $\mathrm{m}$ with a horizontal velocity of $2 \mathrm{~m} / \mathrm{s}$ from left to right. After a ...

​​​​The Mohr's circle corresponding to an infinitesimal element is shown in the figure. The plane $\text{PQ}$ in the infinitesimal element, at an angle of $\theta$ from t...

The two-dimensional state of stress, in an infinitesimal element, is given by$\sigma_{x x}=800 \mathrm{MPa}, \sigma_{x y}=300 \mathrm{MPa}$ and $\sigma_{y y}=0 \mathrm{MP...

​​​​​​Two cars $\text{P}$ and $\text{Q}$ are travelling on a straight path and are $60 \: \mathrm{m}$ apart as shown in the figure; Car $\text{P}$ is moving with a consta...

The natural frequency of a spring-mass system is $10 \: \mathrm{rad} / \mathrm{s}$.Which of the following statements is/are $\textsf{CORRECT}$?The mass is $100 \:\mathrm{...

Consider a beam with a square box cross-section as shown in the figure. The outer square has a length of $10 \: \mathrm{mm}$. The thickness of the section is $1 \: \mathr...

For a certain linear elastic isotropic material, the Young's modulus is $140 \: \mathrm{GPa}$ and the shear modulus is $50 \: \mathrm{GPa}$.The Poisson's ratio for the ma...

Consider two blocks, $\mathbf{P}$ of mass $100 \: \mathrm{kg}$ and $\mathbf{Q}$ of mass $150 \: \mathrm{ kg}$, resting as shown in the figure. The angle $\theta=30^{\circ...

​​​​Which one of the following vertical columns, of circular cross-section, sustains the highest load without buckling?Cantilever column with a length $\text{L}$ and cros...

​​​​The figure shows a rod $\text{PQ}$, hinged at $\text{P}$, rotating counter-clockwise with a uniform angular speed of $15 \: \mathrm{rad} / \mathrm{s}$. A block $R$ tr...

​​​The frame shown in the figure is loaded at $\text{S}$ with a force of $2000 \: \text{N}$. The reactions at $\text{T}$ are denoted by $\text{T}_{x}$ and $\text{T}_{y}$,...

A closed thin cylindrical tank with a mean diameter $\mathrm{d}=300 \mathrm{~mm}$ and thickness $\mathrm{t}=2 \mathrm{~mm}$, is subjected to a uniform internal gas pressu...

​​​An infinitesimal square element $\text{PQRS}$ is shown in the figure. The $x$ and $y$ axes are also marked in the figure. The strains on the element are given by$\vare...

The figure shows the stress distribution across an internal surface of a rectangular beam of height $30 \: \mathrm{mm}$ and depth $10 \: \mathrm{mm}$. The normal stress d...

A vertical column fixed at one end is subjected to a compressive axial load at the free end. The column's section modulus, $\text{EI}$, is $9.82 \times 10^{5} \: \mathrm{...