Match the phenomena in Column I with the typical observations in Column II.
Match each crystal defect in Column I with the corresponding type in Column II.
The following are the activation energies for diffusion of carbon and iron at 773 K in polycrystalline BCC iron: P = Activation energy for diffusion of carbon in BCC iron through the lattice Q = Activation energy for diffusion of iron in BCC iron through the lattice R = Activation energy for diffusion of iron in BCC iron along the grain boundary Which one of the following statements is CORRECT?
For a two-dimensional field described by \( T(x, y) = \frac{1}{3} xy(x + y) \), the magnitude of its gradient at the point \( (1, 1) \) is .......... (rounded off to two decimal places).
X-ray diffraction using a monochromatic radiation of wavelength 0.154 nm is performed on powder samples of metal A (with FCC crystal structure) and metal B (with BCC crystal structure). If the first peak in both the cases occurs at a Bragg angle \( \theta = 20^\circ \), then the value of \(\frac{{Lattice parameter of metal A}}{{Lattice parameter of metal B}} = \ldots\ldots\ldots { (rounded off to two decimal places)}\) .
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is: