Use the Bohr model to address this question. When a hydrogen atom makes a transi

Question

Use the Bohr model to address this question. When a hydrogen atom makes a transition from the 5th energy level to the 2nd, counting the ground level as the first, what is the energy of the emitted photon? Express the answer in electron volts.

Use the Bohr model to address this question. When a hydrogen atom makes a transition from the 5th energy level to the 2nd, counting the ground level as the first, what is the energy of the emitted photon? Express the answer in electron volts. Number eV What is the wavelength, in nanometers, of the emitted photon? Number nm. What is the radius, in nanometers, of the hydrogen atom in its initial (5 h) energy level? Number nm

Explanation / Answer

Note that

Ephoton = 13.6 eV(1/n1^2 - 1/n2^2)

Thus, as n1 = 2, n2 = 5,

Ephoton = 2.86 eV [ANSWER]

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As

wavelength = h c / Ephoton

Then

wavelength = 434 nm [ANSWER]

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As

R(n) = 0.0529 nm * n^2

Then

R(5) = 1.32 nm [ANSWER]

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