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The energy of an element with a vacancy in K-shell is 35.2 V, in L-shell is 5.25 keV and in M-shell is 0.55 keV higher than the energy of the atom of

Monjur Alahi

The energy of an element with a vacancy in K-shell is 35.2 V, in L-shell is 5.25 keV and in M-shell is 0.55 keV higher than the energy of the atom of with no vacancy. Find the frequency of `K_(alpha),K_(beta) and L_(alpha)` X-rays of that element.


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Salim Ahmed Kawsar

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It is given that,
`E_(K)=35.2keV,E_(L)=5.25keV,E_(M)=0.55 keV`
`rArr" " E_(K)-E_(L)=(hc)/(lambda_(K_(A_(alpha))))=hv_(K_(alpha))`
`rArr(35.2-5.25)xx10^(3)xx1.6xx10^(-19)=6.6xx10^(-34)v_(K_(alpha))`
`rArr" " v_(K_(alpha))=(29.95xx10^(3)xx1.6xx10^(-19))/(6.6xx10^(-34))=7.2xx10^(-34)Hz`
Similarly, `E_(K)-E_(M)=hv_(K_(beta))`
`rArr" " v_(K_(beta))=((35.2-0.55)xx10^(3)xx1.63xx10^(-19))/(6.6xx10^(-34))=8.4xx10^(18)Hz`
Also, `E_(L)-E_(M)=hv_(k_(alpha))`
`rArr" " ((5.25-0.55)xx10^(3)xx1.6xx10^(-19))/(6.6xx10^(-34))=1.1xx10^(18)Hz`

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