The Solid State - Result Question 29

####29. The second order Bragg diffraction of X-rays with λ=1.00\AA from a set of parallel planes in a metal occurs at an angle 60. The distance between the scattering planes in the crystal is

(a) 0.575\AA

(b) 1.00\AA

(c) 2.00\AA

(d) 1.15\AA

[1998]

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Solution:

  1. (d) Given: Order of Bragg diffraction (n)=2; Wavelength (λ)=1\AA and angle (θ)=60. We know from the Bragg’s equation nλ=2dsinθ

or 2×1=2dsin60

2×1=2.d.32d=23=1.15\AA

(where d= difference between the scattering planes)



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