Concept explainers
Part(a)To determine:
The angle at which the second order Bragg’s diffraction is observed.
Answer to Problem 55P
Solution:
The second order diffraction maximum is observed at the angle 53.8o.
Explanation of Solution
X rays are
If the spacing between the planes of a crystal is d and the X rays of wavelength are incident on the planes at a glancing angle , then according to Bragg’s equation, the mth maximum is obtained according to the expression,
Write the expression for the first and the second order maxima giving values of 1 and 2 to m
Therefore,
The glancing angle for the second order maximum is obtained from the expression,
Given:
The glancing angle for the first order maximum
The plane separation in the crystal
Formula:
The glancing angle for the second order maximum is calculated using,
Calculation:
Substitute the value of the glancing angle for first order maximum in the expression and simplify.
Part (b)To determine:
The wavelength of the X rays.
Answer to Problem 55P
Solution:
The wavelength of the given X rays is found to be 0.19 nm.
Explanation of Solution
The wavelength of X rays id calculated using Bragg’s law of diffraction,
For the first order maximum,
Given:
The glancing angle for the first order maximum
The plane separation in the crystal
Formula:
Calculation:
Substitute the value of the glancing angle for first order maximum and the plane separation in the expression and simplify.
Chapter 25 Solutions
Physics: Principles with Applications
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