Question:
Bragg's law mathematically expressed as
Bragg's law mathematically expressed as
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Bragg = Sine. Remember "2d Sine" is the extra distance the second wave travels to stay in phase.
Updated On: Jul 4, 2026
- $n\lambda = 2d \sin \theta$
- $n\lambda = 2d \cos \theta$
- $n\lambda = 2d \tan \theta$
- $n\lambda = 2d \cot \theta$
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The Correct Option is A
Solution and Explanation
Step 1: Concept Bragg's Law defines the condition for constructive interference of X-rays scattered from parallel planes in a crystal lattice.
Step 2: Meaning It relates the wavelength of the radiation ($\lambda$), the interplanar spacing ($d$), and the angle of incidence ($\theta$).
Step 3: Analysis Constructive interference occurs when the path difference between waves reflected from adjacent planes is an integer multiple ($n$) of the wavelength.
Step 4: Conclusion Geometric analysis of the path difference ($2d \sin \theta$) leads to the standard formula: $n\lambda = 2d \sin \theta$. Final Answer: (A)
Step 2: Meaning It relates the wavelength of the radiation ($\lambda$), the interplanar spacing ($d$), and the angle of incidence ($\theta$).
Step 3: Analysis Constructive interference occurs when the path difference between waves reflected from adjacent planes is an integer multiple ($n$) of the wavelength.
Step 4: Conclusion Geometric analysis of the path difference ($2d \sin \theta$) leads to the standard formula: $n\lambda = 2d \sin \theta$. Final Answer: (A)
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