In which one of the following transition photon of highest energy is emitted in Bohr's hydrogen spectrum?A 2 →1B 5 →1C 7 →1D
Question
In which one of the following transition photon of highest energy is emitted in Bohr's hydrogen spectrum?
A 2 → 1
B 5 → 1
C 7 → 1
D
Solution
The energy of a photon emitted in Bohr's hydrogen spectrum is given by the formula:
E = 13.6 * (1/n1² - 1/n2²) eV
where n1 and n2 are the initial and final energy levels of the electron transition, respectively.
In this case, the final energy level (n2) is 1 for all options, so we just need to compare the initial energy levels (n1).
The energy of the photon is inversely proportional to the square of the initial energy level. This means that the lower the initial energy level, the higher the energy of the emitted photon.
Therefore, the transition that emits the photon of highest energy is 2 → 1 (Option A).
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