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If the angle of incidence of X-ray of wa...

If the angle of incidence of X-ray of wavelength 3Å which produces a second order diffracted beam from the (100) planes in a simple cubic lattice with interlayer spacing a = 6 Å is `30^(@)`, the angle of incidence that produ ces a first-order diffracted beam from the (200) planes is

A

`15^(@)`

B

`45^(@)`

C

`30^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
According to, Bragg’s equation,
`nlambda = 2d sin theta`
where ,
`n rArr` Integer and order of the reflection
`d rArr` Scattering planes have a spacing "d"
`lambda rArr` Wavelength
`theta rArr` Angle of incidence.
If the angle of incidence of X – ray produces a second order diffracted beam from the 100 planes is `30^(@)`, hence angle of incidence that produce a first order diffracted beam from the 200 plane is also `30^(@)`
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