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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 equals the sum of the frequencies of `K_alpha` and `L_alpha` X-rays of the same material.
(##HCV_VOL2_C44_S01_006_Q01##)

Text Solution

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The energy level diagram of an atom with one electron knocked out is shown above.
Energy of `K_alpha` X-ray is `E_(Kalpha)=E_L-E_K` and of `K_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 `f_(Kbeta)=f_(Kalpha)+f_(Lalpha)`
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