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Q.

The largest distance between the interatomic planes of a crystal is 2 x 10-7cm. The upper limit for the wavelength of X-rays which can be usefully studied with this crystal is

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a

1 Å

b

2 Å

c

40 Å

d

20 Å

answer is C.

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Detailed Solution

Bragg's law,   2dsinθ=nλ    or    λ=2dsinθnFor maximum wavelength, nmin=1,  (sinθ)max=1∴  λmax=2d   or   λmax=4×10−7cm=40 Å
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The largest distance between the interatomic planes of a crystal is 2 x 10-7cm. The upper limit for the wavelength of X-rays which can be usefully studied with this crystal is