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Unformatted text preview: CH301—Worksheet 1 Electromagnetic Radiation, Wave Particle Duality and Quantum Mechanics 1. Calculate the frequency of light that corresponds to the following wavelengths in a vacuum. a) 120 nm b) 6 km c) 100 Å (1 Å = 10-10 m, a conversion factor you should know.) 2. How would doubling the frequency ( ν , pronounced nu, not vee) of a given wave affect the following values? a) λ b) c c) E d) h 3. Estimate the wavelength of light with a frequency of 92 GHz. 4. Calculate wavelength from the following frequencies. a) 900. kHz b) 300 MHz 5. Without calculations, rank the frequency of the following waves from highest to lowest frequency: waves with wavelengths of 300 nm, 1 m, 1 km, and 300 Å. 6. From memory, to the best of your ability, reproduce the electromagnetic spectrum, starting from the highest frequency types of electromagnetic radiation: 7. Briefly explain what is meant by "wave-particle duality of light" in your own words. 8. What equation corresponds to the wave nature of light? Diagram the equation as part of your response. Note: diagramming an equation involves labeling each term with its common name, its Greek name if it is a Greek letter, its units (which may have various names) and finally discussing the proportionality of the various terms in the equation. 9. What equation corresponds to the particle nature of light? Diagram the equation as part of your response. 10. Using a little algebra, derive an equation that expresses a photon's energy in terms of its wavelength. What proportionality exists between energy and wavelength? 11. Order the following types of light from most to least energetic: 106 Hz, 106 m, 10-6 m, 1022 Hz, 10-10 m (Hint: this can be done with zero calculations .) 12. What did Louis de Broglie propose about matter? 13. What equation describes his proposition? Diagram the equation. 14. In your own words, what is Heisenberg's uncertainty principle? 15. What equation describes Heisenberg's uncertainty principle? Diagram the equation. 16. Classical mechanics made what prediction about the power emitted by black body radiators at short wavelengths? What was observed experimentally and what was this observation called?...
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- Fall '10