Question

Bragg gave a mathematical equation:              nλ = 2d sinθ Here which of the following is correct?

A

λ wavelength of incident x-ray

B

d distance between the layers

C

D

ɵ →

Solution

The correct options are A λ→ wavelength of incident x-ray B d → distance between the layers D ɵ → Recall the experiment which you saw in the videos. We got the formula as, n λ = 2d sinθ How we came to this conclusion, For peaks, we know that we need the following arrangement: and this will be repeated for integral multiple of λ. Therefore, n → an integer λ → wavelength of x-ray Now, look at the crystal diagram. Here you can see that, d→ distance between the layers. θ → angle between incident x-rays and the plane of crystal. Therefore, (a), (b) and (d) are correct. Do not get confused in e, it is not angle between the incident x-ray and the perpendicular of the plane.

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