Residual stresses within a material can be accurately determined using X-ray Diffraction (XRD). This technique works by measuring the minute changes in the crystal lattice spacing of the material. These changes are directly related to the strain induced by residual stresses. By analyzing the shifts in the diffraction peak positions, the magnitude and direction of residual stresses can be calculated. XRD is often preferred because it is a non-destructive method.
Therefore, X-ray Diffraction (XRD) is the most appropriate technique among the choices for determining residual stress.
A schematic of X-ray diffraction pattern of a single phase cubic polycrystal is given below. The miller indices of peak A is

In a powder diffraction experiment on BCC iron, the first peak occurs at $2\theta = 68.7^\circ$. The wavelength of X-rays is ________ (in nm to three decimal places).
Given: The lattice parameter of iron = $0.287 \text{ nm}$
X-ray diffraction pattern from an elemental metal with a FCC crystal structure shows the first peak at a Bragg angle $\theta = 24.65^\circ$. The lattice parameter of this metal is ____________ nm.
Given, wavelength of the X-ray used is $0.1543$ nm.