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Show that the frequency of Kbeta X-ray o...

Show that the frequency of `K_beta` X-ray of a material is equal to the sum of frequencies of `K_alpha` and `L_alpha` X-rays of the same material .

Text Solution

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The energy level diagram of an atom with one electron knowed out is shown above.

Energy of , `K_(alpha)` X-ray is `E_(Kalpha) = E_(L) - E_(K)`
and of `E_(beta)` X-ray is `E_(Kbeta) = E_(M) - E_(K)`
and of `L_(alpha)` X-rays is `E_(Lalpha) = E_(M) - E_(L)`
thus `E_(Kbeta) = E_(Kalpha) + E_(Lalpha)` or `v_(Kbeta) = v_(Kalpha) + v_(Lalpha)`
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