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explain how an atom could emit no x-ray when an outer shell electron falls into a...

explain how an atom could emit no x-ray when an outer shell electron falls into a hole in the k shell

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When an electron with sufficiently high energy strikes an atom in the X ray tube anode, it ejects an electron from one of atom's inner shells, say the K shell. This leaves an empty slot or hole in this shell. The amount of energy equal to the difference between the energy levels of the two shells. This energy is not required to emit X rays. So an atom could emit no X ray when an outer shell electron falls into a hole in the K shell.

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