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Q.

Which of the following relation is correct for first order Bragg's diffraction?

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a

sin⁡θ=2aλh2+k2+l2

b

sin⁡θ=2aλh2+k2+l21/2

c

sin⁡θ=λ2ah2+k2+l21/2

d

sin⁡θ=λ2ah2+k2+l22

answer is C.

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Detailed Solution

nλ=2dsin⁡θd=λ2sin⁡θ               . . . .(i) (for first order diffration)d=ah2+k2+l2   . . . . (ii)Comparing equation (i) and (ii)λ2sin⁡θ=ah2+k2+l2sin⁡θ=λ2ah2+k2+l21/2
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Which of the following relation is correct for first order Bragg's diffraction?