Recent questions tagged gatexe-2025

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...