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The energy of a silver atom with a vacan...

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.

Text Solution

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Given `E_K=25.31 KeV, `
` E_L=3.56KeV, `
` E_M=0.530KeV `
` :. K_alpha=E_K-E_L=hf `
`f=(E_k-E_L)/h`
` (25.31-3.56)/(6.67xx10^-34xx1.6xx10^-19xx10^3)`
` = (21.75xx10^3xx10^15)/6.67 `
` = 5.25xx10^18Hz `
` K_beta=(E_K-E_M)/h `
` (25.31-0.53)/(6.67xx10^-34)xx10^3xx1.6xx10^-19 `
` 5.985xx10^18 Hz`
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