1.

The energy of a silver atom with a vacancy in K shell is 25.31 keV, in L shell is 3.56 keV and in M shell is 0.530 keV higher than the energy of the atom with no vacancy. Find the frequency of `K_alpha`, `K_beta` and `L_alpha` X-rays of silver.

Answer» `E_(K)=25.31 keV, E_(L)=3.56 keV, E_(m)=0.53 keV`
`E_(K)-E_(L)=(hc)/lambda_(K_(alpha))=hv_(K_(alpha))`
`(25.31-3.56)xx10^(3)xx1.6xx10^(-19)=6.6xx10^(-34)v_(K_(alpha))`
`v_(K_(alpha))=(25.31-3.56)xx(1.6xx10^(-16))/(6.6xx10^(-34))`
`=21.75xx0.24xx10^(18)`
`=5.3xx10^(18) Hz`
`E_(K)-E_(M)=h v_(K_(beta))`
`v_(K_(beta))=(25.31-0.53)xx0.24xx10^(18)`
`=5.9xx10^(18) Hz`
`E_(L)-E_(M)=hv_(K_(alpha))`
`v_(K_(alpha))=(3.56-0.53)xx0.24xx10^(18)`
`=0.72xx10^(18) Hz`


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