Properties of Waves and Simple Harmonic Motion
1) Explain in your own words:
a) How is simple harmonic oscillation defined?
b) What is de Broglie wavelength?
c) Why will one not see an interference pattern for white light in the case of two slits?
d) Explain the expression wavelength so that your 10 year old brother can understand.
e) What is the difference between the interference pattern for a single slit and a double slit? Use sketches!
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1. Simple harmonic oscillation is motion of the form x(t) = A sin(wt + phi), where A is the amplitude, w is the angular frequency, and phi is the initial phase.
2. The de Broglie wavelength of an object is given by lambda = h/p, where p is the momentum of the object and h is Planck's constant.
3. Since white light is not monochromatic, i.e. it consists of different colors, each with a different wavelength, one will not see a double-slit interference pattern with white light.
4. The wavelength of a wave is the distance from a crest of the wave to the next crest.
5. See the diagrams below.
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