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Question
The wavelength λ of Kβ X-Ray is given by:
Options:
A .  hcEK−EM
B .  hcEK−EL
C .  hcEL−EM
D .  hcEL−EK
Answer: Option A
:
A
Kβ characteristic X-Ray phton is emitted when an electron from the M shell jumps to fill the electronic vacancy created in K shell.
Now, if we refer to the Energy Level Diagram, we find that The atomic energy when there is a vacancy in K shell is EK.
Also the atomic energy when the vacancy gets created in M shell is EM.
We see that EM < EK.
So the atom has lost this energy. How much ?
EKEM
This energy appears as the energy of Kβ characteristic X-Ray phton.
Hence hcλKβ=EKEM.
Which gives,
1λKβ=EKEM.

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