Match each crystal defect in Column I with the corresponding type in Column II.
To match the crystal defects in Column I with their corresponding types in Column II, we need to understand the nature of each defect:
Step 1: Understanding each defect
- Edge dislocation (P): A dislocation that moves along a line, causing a distortion in the crystal. This is a one-dimensional defect (Option 2).
- Stacking fault (Q): A planar defect in the crystal structure where the stacking order of atoms is disrupted. This is a two-dimensional defect (Option 3).
- Frenkel defect (R): A zero-dimensional defect where an atom or ion is displaced from its regular position, creating a vacancy and an interstitial defect (Option 1).
- Porosity (S): This refers to voids or empty spaces within the crystal structure, making it a three-dimensional defect (Option 4).
Step 2: Analyze the options
Step 3: Conclusion
The correct matching is Option (C), where the defects are matched appropriately with their types.
Match the phenomena in Column I with the typical observations 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 \(\frac{{Lattice parameter of metal A}}{{Lattice parameter of metal B}} = \ldots\ldots\ldots { (rounded off to two decimal places)}\) .
For a component fabricated from an alloy A with plane strain fracture toughness, \( K_{IC} = 50 \, {MPa m}^{1/2} \), fracture was observed to take place at a crack length of 0.4 mm at a tensile service stress of \( \sigma \). If the same component is instead fabricated from alloy B with \( K_{IC} = 75 \, {MPa m}^{1/2} \), the crack length at which a similar crack geometry will result in fracture (under identical tensile service stress of \( \sigma \)) is _________ mm (rounded off to one decimal place).
Radiative heat flux \( \dot{q} \) at a hot surface at a temperature \( T_s \) can be expressed as \[ \dot{q} = A f(T_s, T_\infty) (T_s - T_\infty) \] where \( A \) is a constant and \( T_\infty \) is the temperature of the surroundings (temperatures are expressed in K). The function \( f(T_s, T_\infty) \) is given by ______.
Match the steel plant related processes in Column I with the associated information in Column II.
Consider the phase diagram of a one-component system given below. \( V_{\alpha} \), \( V_{\beta} \), and \( V_{{Liquid}} \) are the molar volumes of \( \alpha \), \( \beta \), and liquid phases, respectively. Which one of the following statements is TRUE? Given: The change in molar enthalpies, \( \Delta H_{\alpha \to \beta} \) and \( \Delta H_{\beta \to {Liquid}} \), are positive.
For two continuous functions \( M(x, y) \) and \( N(x, y) \), the relation \( M dx + N dy = 0 \) describes an exact differential equation if
A linear regression model was fitted to a set of \( (x, y) \) data. The total sum of squares and sum of squares of error are 1200 and 120, respectively. The coefficient of determination \( R^2 \) of the fit is ......... (rounded off to one decimal place).