1.

What will be the wavelength of the X-rays which give a diffraction angle `2theta` equal to `16.80^(@)` for a crystal ? The interplanar distance in the crystal is `0.200` nm and only the diffraction of the first order is absorbed.

Answer» According to Bragg equation,
`nlambda=2dsinthetaor lambda=(2dsintheta)/(n)`
`2theta=16.80^(@)and theta=8.40^(@),n=1` (First order diffraction)
`d=0.2nm=0.2xx10^(-9)m`
`lambda=(2xx(0.2xx10^(-9))xx(sin8.4^(@)))/(1)`
`=(2xx(2xx10^(-10)m)xx(0.146^(@)))/(1)=0.0584xx10^(-9)m=0.0584nm`


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