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GATE 2021 MT – Question 31

Physical Metallurgy · Materials characterization · 1 mark · Numerical answer

An FCC crystal’s first X-ray reflection is at Bragg angle $\theta=30^\circ$. The second reflection has Bragg angle ______ degrees (one decimal place).

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Correct answer: 34.8 to 36.1

Explanation

The first two allowed reflections are 111 and 200. At fixed wavelength, sinθ2/sinθ1=√(4/3). With θ1=30°, sinθ2=1/√3, giving **θ2=35.3°**.