The binding energy of the innermost electron | vedclass

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(A) The characteristic $X$-rays are produced when an electron from a higher energy shell (e.g.,$L, M, N, \dots$ shells) transitions to a vacancy in th

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Less than $40 \, keV$

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(A) The characteristic $X$-rays are produced when an electron from a higher energy shell (e.g.,$L, M, N, \dots$ shells) transitions to a vacancy in the innermost shell (the $K$-shell).The energy of the emitted characteristic $X$-ray photon is given by the difference in energy between the two shells involved in the transition: $E_{X-ray} = E_{higher} - E_{lower}$.Since the electron transitions from a higher energy level (closer to $0 \, eV$) to the innermost shell (which has a binding energy of $40 \, keV$,meaning its energy level is $-40 \, keV$),the energy released must be less than the binding energy of the innermost shell.Therefore,the energy of the characteristic $X$-rays is always less than the binding energy of the innermost electron.

The binding energy of the innermost electron in tungsten is $40 \, keV$. The energy of the characteristic $X$-rays emitted is:

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