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a) A narrow beam of white light is passed through a clear glass vessel containing cool hydrogen gas at a low pressure. A prism is used to disperse the light leaving the vessel. This results in a white light spectrum, crossed by a series of dark lines. Explain the origin of these dark lines and name the type of spectrum that is produced. b) Some of the atomic energy levels of hydrogen are shown in the diagram below.

a) A narrow beam of white light is passed through a clear glass vessel containing cool hydrogen gas at a low pressure. A prism is used to disperse the light leaving the vessel. This results in a white light spectrum, crossed by a series of dark lines. Explain the origin of these dark lines and name the type of spectrum that is produced. b) Some of the atomic energy levels of hydrogen are shown in the diagram below.

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c) Light of wavelength 580 nm is incident on a clean metal surface which has a work function of 1.7 eV. i. ii. iii. iv. Determine the maximum velocity of the electrons emitted from the metal surface. Determine the de Broglie wavelength of these electrons. Explain why the emitted electrons can have a range of velocities from zero up to the maximum value. Determine the maximum wavelength of light that could emit photoelectrons from the surface.
Transcribed Image Text:c) Light of wavelength 580 nm is incident on a clean metal surface which has a work function of 1.7 eV. i. ii. iii. iv. Determine the maximum velocity of the electrons emitted from the metal surface. Determine the de Broglie wavelength of these electrons. Explain why the emitted electrons can have a range of velocities from zero up to the maximum value. Determine the maximum wavelength of light that could emit photoelectrons from the surface.
Question 14 a) A narrow beam of white light is passed through a clear glass vessel containing cool hydrogen gas at a low pressure. A prism is used to disperse the light leaving the vessel. This results in a white light spectrum, crossed by a series of dark lines. Explain the origin of these dark lines and name the type of spectrum that is produced. b) Some of the atomic energy levels of hydrogen are shown in the diagram below. i. ii. iii. Energy/eV 0 -0.85 -1.51 -3.39 -13.58 n = 4 n = 3 n = 2 n = 1 Determine the ionization energy of hydrogen and express this in joules. Determine the wavelength of the light emitted when an electron falls from the n = 3 level to the n = 1 energy level. A photon of energy 10.19 eV is in collision with a hydrogen atom. What would happen to this photon?
Transcribed Image Text:Question 14 a) A narrow beam of white light is passed through a clear glass vessel containing cool hydrogen gas at a low pressure. A prism is used to disperse the light leaving the vessel. This results in a white light spectrum, crossed by a series of dark lines. Explain the origin of these dark lines and name the type of spectrum that is produced. b) Some of the atomic energy levels of hydrogen are shown in the diagram below. i. ii. iii. Energy/eV 0 -0.85 -1.51 -3.39 -13.58 n = 4 n = 3 n = 2 n = 1 Determine the ionization energy of hydrogen and express this in joules. Determine the wavelength of the light emitted when an electron falls from the n = 3 level to the n = 1 energy level. A photon of energy 10.19 eV is in collision with a hydrogen atom. What would happen to this photon?
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