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Q.

The diffraction of barium with X-radiation of wavelength 227 pm gives a first order diffraction at 30°. Thus, distance between the two planes is

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a

114.5 pm

b

229 pm

c

458 pm

d

227 pm

answer is D.

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Detailed Solution

By Bragg's equations,2a sin θ = nλn = 1 (first order diffraction)λ=0229 pmsin⁡θ=sin⁡30∘=12∴a=nλ2sin⁡θ=1×227pm2×12=227pm
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The diffraction of barium with X-radiation of wavelength 227 pm gives a first order diffraction at 30°. Thus, distance between the two planes is