Interplanar distances in crystal can be determined by equation (a) \(n \lambda=2 d \sin \theta\) (b) \(n=\lambda d \sin \theta\) (c) \(\frac{n}{\lambda}=2 d \sin \theta\)

Short Answer

Expert verified
The correct formula for calculating interplanar distances in crystals is (a) \(n\lambda = 2d \sin(\theta)\)

Step by step solution

01

Analyze given options

Analyze each of the given options against the known formula for the interplanar distances in crystals, which is Bragg's law: \(n\lambda = 2d \sin(\theta)\)
02

Compare with Bragg's Law

Bragg's law is formulated as \(n\lambda = 2d \sin(\theta)\) where 'n' is the order of diffraction, \(\lambda\) is the wavelength, 'd' is the interplanar distance and \(\theta\) is the angle of incidence.
03

Identify the Correct Equation

By comparing the known formula with the given options, it is apparent that option (a) \(n\lambda = 2d \sin(\theta)\) is an exact match to Bragg's law.

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