X-rays of wavelength $\lambda$ gets reflected from parallel planes of atoms in a crystal with spacing $\mathrm{d}$ between two planes as shown in the figure. If the two reflected beams interfere constructively, then the condition for maxima will be, ( $\mathrm{n}$ is the order of interference fringe)

Question

X-rays of wavelength $\lambda$ gets reflected from parallel planes of atoms in a crystal with spacing $\mathrm{d}$ between two planes as shown in the figure. If the two reflected beams interfere constructively, then the condition for maxima will be, ( $\mathrm{n}$ is the order of interference fringe), $\mathrm{d} \tan \theta=\mathrm{n} \lambda$, $\mathrm{d} \sin \theta=n \lambda$, $2 \mathrm{~d} \cos \theta=\mathrm{n} \lambda$, $2 \mathrm{~d} \sin \theta=\mathrm{n} \lambda$

MARKS App · Accepted Answer

Hint : $2 \mathrm{~d} \sin \theta=\mathrm{n} \lambda$

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