FAN AND MEDAL 1. In which of the following cases is the wavelength of the emitted radiation greatest? Electron jumps from third orbit to second orbit. Electron jumps from third orbit to first orbit. Electron jumps from fourth orbit to first orbit. Electron jumps from fifth orbit to second orbit.

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FAN AND MEDAL 1. In which of the following cases is the wavelength of the emitted radiation greatest? Electron jumps from third orbit to second orbit. Electron jumps from third orbit to first orbit. Electron jumps from fourth orbit to first orbit. Electron jumps from fifth orbit to second orbit.

Mathematics
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when electron makes a transition, between state with energy Ei to another state with energy Ef, the frequency \nu of the emitted or absorbed photon is: \[\Large h\nu = Ef - Ei\]
more precisely: \[\Large h\nu = \left| {Ef - Ei} \right|\]
since we have considered the case of absorption of a photon

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now we have: \[\Large \nu = \frac{c}{\lambda }\] so we can write: \[\Large \frac{{hc}}{\lambda } = \left| {Ef - Ei} \right|\] or: \[\Large \lambda = \frac{{hc}}{{\left| {Ef - Ei} \right|}}\]
now the greatest wavelength corresponds to the smallest energy change
and the smallest energy change, happens when electron jumps the smallest number of levels
Electron jumps from fourth orbit to first orbit.
no, since the electron makes three transitions
I think when electron makes only one transition, do you see that option?
for example in the first option the electron goes from the third level to the second one
Whats the answer
so it makes only one transition, right?
yeah
therefore it is the first option

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