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A problem set focused on optics and radiation, including calculations of energy levels, wavelengths, frequencies, and temperatures for various radiations and materials.
Typology: Assignments
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Name: Due date: 09/04/
1. Radiation in the ultraviolet region of the electromagnetic spectrum is usually described in
v , v ~,and E for ultraviolet radiation with λ = 250 nm.
2. At what wavelength and frequency does the maximum in the radiant energy density distribution function for a blackbody occur if (a) T = 270 K? (b) T = 4500 K? (c) T = 9000 K?
4. The threshold wavelength for potassium metal is 564 nm. Determine the value of the work function in eV and kJ/mol? What is the kinetic energy of electrons ejected if radiation of wavelength 400 nm is used?
5. Given that the work function of chromium is 4.40 eV, calculate the kinetic energy of electrons emitted from a chromium surface that is irradiated with ultraviolet radiation of wavelength 200 nm.
7. Through what potential must a proton initially at rest fall so that its de Broglie wavelength is 1. 0 × 10 −^10 m?
8. If we locate an electron to within 20pm, then what is the uncertainty in its speed? (Use ∆ x ∆ p ≥ h expression of the uncertainty principle)
10. The surface of a silver cathode is irradiated with an electromagnetic radiation of wavelength 230 nm. The work function of silver is 4.58 eV. Are electrons emitted from the surface, and, if yes, what is their de Broglie wavelength?
