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Calculate lambda of X-rays which give a ...

Calculate `lambda` of X-rays which give a diffraction angle `2 theta = 16.8^(@)` for crystal, if the interplanar distance in the crystal is `0.2 nm` and that only for the first-order diffraction is observed. Given `sin 8.40^(@) = 0.146`.

Text Solution

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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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