Recent questions tagged numerical-answers

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 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...

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{...

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...

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...

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...

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...

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....

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...

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...