n= 1, E=-21

n=2, E=-9

n=3, E=-4

n=4, E=-3

…,…

infinity, 0

A gaseous sample of this element is bombarded by photons of various energies (in these same units). Match each photon to the result of its absorption (or lack thereof) by an n=1 electron.

Photon/Energy:

A/21

B/17

C/15

D/12

Possible answers:

n=1 to n=2

n=1 to n=3

n=1 to n=4

electron ejected

not absorbed

I think the A/21 is electron ejected, but I don’t know how to figure the rest…

E = k/N2

…..1…..2…..3…..4…..inf

E = -21…-9….-4….-3……0

In going from n = 1 to n = 2 we have dE = 13

Going from 1 to 3 we have dE = 17

Going from 1 to 4 we have dE = 18

Going form 1 to inf we have dE = 21

Match them up.

A is 21 so that must be the one ejected; i.e., ionized.

B is 17 so that must be 1 to 3

C and D are not absorbed.

Check my thinking

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