Bragg's equation is a) \(2 \cap \Lambda=d \sin \theta\) b) \(n \lambda=2 d \sin \theta\) c) \(\frac{n}{\lambda}=d \sin \theta\)

Short Answer

Expert verified
The correct representation of Bragg's Law is option b) \(n \lambda=2 d \sin \theta\).

Step by step solution

01

Identify Bragg's Law

Bragg's Law is used in physics to determine the angles for coherent and incoherent scattering from a crystal lattice. The law is written as \(n\lambda = 2d sin \(\theta)\), where \(n\) is the order of reflection, which is a positive integer, \(\lambda\) stands for the wavelength of the incident wave, \(d\) is the interplanar distance of the crystal, and \(\theta\) is the angle of incidence or scattering.
02

Analysis of options

Option a) \(2 \cap \Lambda=d \sin \theta\) is incorrect because there's no known physical law or principle that corresponds to this equation. Option b) \(n \lambda=2 d \sin \theta\) is actually the correct form of Bragg's Law. Option c) \(\frac{n}{\lambda}=d \sin \theta\) is not correct because in Bragg's Law, \(n\lambda\) is equal to \(2d sin \(\theta)\)
03

Final Answer

Based on the above analysis, we can conclude that option b) \(n \lambda=2 d \sin \theta\) is the correct representation of Bragg's Law.

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