(a) Calculate the ionisation energy, in eV. for the hydrogen atom. (b) Calculate the frequency of a photon emitted when an electron transitions from the n = 5 energy level to the 1 energy level. (c) A hydrogen atom, in its ground state, is first excited and then relaxes by releasing a photon. The photon emitted from the atom is detected with a wavelength of 486 nm. State the energy level transition that will cause the release of a photon with a wavelength of 486 nm. Page 17 (d) A different hydrogen atom, also in its ground state, is illuminated with light of frequency 3.5 x 10¹2 H What will happen to the atom when it is illuminated by light at that frequency? Explain your answer.

Physics for Scientists and Engineers with Modern Physics
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Chapter41: Atomic Physics
Section: Chapter Questions
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10. The diagram below shows the lowest 5 energy levels in a hydrogen atom. The y-axis shows
the energy in units of x10-19 J.
Energy
(x 10-1⁹ J)
0.00
- 0.87
-1.36
- 2.42
- 5.45
- 21.80
Not to scale
(a) Calculate the ionisation energy, in eV, for the hydrogen atom.
n=co
n=5
n=4
n=3
n = 2
Page 17
n = 1
(b) Calculate the frequency of a photon emitted when an electron transitions from the
n = 5 energy level to the n1 energy level.
(c) A hydrogen atom, in its ground state, is first excited and then relaxes by releasing a
photon. The photon emitted from the atom is detected with a wavelength of 486 nm.
State the energy level transition that will cause the release of a photon with a wavelength
of 486 nm.
(d) A different hydrogen atom, also in its ground state, is illuminated with light of frequency
3.5 x 10¹2 Hz.
What will happen to the atom when it is illuminated by light at that frequency? Explain
your answer.
Transcribed Image Text:10. The diagram below shows the lowest 5 energy levels in a hydrogen atom. The y-axis shows the energy in units of x10-19 J. Energy (x 10-1⁹ J) 0.00 - 0.87 -1.36 - 2.42 - 5.45 - 21.80 Not to scale (a) Calculate the ionisation energy, in eV, for the hydrogen atom. n=co n=5 n=4 n=3 n = 2 Page 17 n = 1 (b) Calculate the frequency of a photon emitted when an electron transitions from the n = 5 energy level to the n1 energy level. (c) A hydrogen atom, in its ground state, is first excited and then relaxes by releasing a photon. The photon emitted from the atom is detected with a wavelength of 486 nm. State the energy level transition that will cause the release of a photon with a wavelength of 486 nm. (d) A different hydrogen atom, also in its ground state, is illuminated with light of frequency 3.5 x 10¹2 Hz. What will happen to the atom when it is illuminated by light at that frequency? Explain your answer.
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