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Calculate the wavelength of K(alpha) li...

Calculate the wavelength of `K_(alpha)` line for the target made of tungsten `(Z = 74)`.

Text Solution

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We know that ` K_(oo)` - line
`(1)/(lambda_(alpha)) = R_(oo) (Z-1)^(2) [(1) - (1)/(2^(2))] = (3)/(4) R_(oo) (Z-1)^(2)`
or `(1)/(lambda_(alpha)) = (4)/(3R_(oo) (Z-1)^(2))`
Here , `R_(oo) = 1.096 xx 10^(7) m ^(-1) and Z = 74`, therfore
`(1)/(lambda_(alpha)) = (4)/(3 (1.096 xx 10^(7)) (74 - 1)^(2)) = 2.28 xx 10^(-11) m`
`lambda_(alpha) = 0.228 Å`
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