The wavelength of the characteristic X-ray Kα line emitted by a hydrogen like element is 0.32 Ao The wavelength of the Kß line emitted by the element will be ___

1λα=R1−14;1λβ=R1−19⇒λβ=34×98λα=27320.32=0.27A0

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The wavelength of the characteristic X-ray K_α line emitted by a hydrogen like element is 0.32 $\overset{o}{A}$ The wavelength of the K_ß line emitted by the element will be ___

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answer is 0.27.

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$\frac{1}{λ_{α}} = R (1 - \frac{1}{4}); \frac{1}{λ_{β}} = R (1 - \frac{1}{9})$

$\Rightarrow λ_{β} = \frac{3}{4} \times \frac{9}{8} λ_{α} = \frac{27}{32} (0.32) = 0.27 \overset{0}{A}$

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