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Question

Calculate the distance between the planes of ions if the smallest angle of reflection is x-ray diffraction is 5.970 and the wavelength of incident ray is 58.6 pm? (sin5.970 = 0.104)


A

282 pm

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B

382 pm

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C

156 pm

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D

78 pm

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Solution

The correct option is A

282 pm


Do you remember Bragg’s equation?
It was, nλ=2d sinθ

Here it has to be noted that whenever order of reflection is not given in the question, we will take it as 1.

Here, we know the angle (θ) and wavelength of x – ray.

(θ)=5.970

λ = 58.6 pm

so, d=nλ2 sin θ

=58.6×10122×sin(5.970)=58.6×10122×0.104=281.7×1012m=281.7×pm282 pm Ans.

So correct option is A.


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