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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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`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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CP SINGH-X-Rays-EXERCISES
  1. The energy of a silver atom with a vacancy in K shell is 25.31 keV, in...

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  2. Which of the following is correct regarding X-rays (i) X-rays are el...

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  3. Which of the following is correct regarding X-rays

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  4. Which of the following is correct regarding Moseley's law

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  5. Consider a photon of continuous X-ray coming from a Coolidge tube. Its...

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  6. If the potential difference applied to tube is doubled and the separat...

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  7. If the current in the circuit for heating the filament is increased, t...

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  8. The X-ray beam coming from an X-ray tube

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  9. The potential difference applied to an X-ray tube is increased. As a r...

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  10. When an electron strikes the target in a Coolidge tube, its entire kin...

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  11. X-ray incident on a material (i) exerts a force on it (ii) transfe...

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  12. When an electron moving at a high speed strikes a metal surface, which...

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  13. In an X - rays tube , the intensity of the emitted X - rays beam is in...

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  14. Cutoff wavelength of X-rays coming from a Coolidge tube depends on the

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  15. X- rays are produced in an X- rays tube operating at a given accelerat...

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  16. The potential difference applied to an X-ray tube is 5k V and the curr...

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  17. The potential different across the Coolidge tube is 20 kV and 10 m A c...

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  18. Characteristic X-rays are produced due to

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  19. If the potential difference applied across a Coolidge tube is increase...

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  20. Electrons with energy 80 keV are incident on the tungsten target of an...

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  21. The intensity of X-rays form a Coolidge tube is plotted against wavel...

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