Question

If the electron were displaced from equilibrium by a distance greater than R, would the electron oscillate? Would its motion be simple harmonic? Explain your reasoning. (Historical note: In 1910, the atomic nucleus was discovered, proving the Thomson model to be incorrect. An atom's positive charge is not spread over its volume as Thomson supposed, but is concentrated in the tiny nucleus of radius 10^−14 to 10^−15m.)

Part H Constants If the electron were displaced from equilibrium by a distance greater than R, would the electron oscillate? Would its motion be simple harmonic? Explain your reasoning. (Historical note: In 1910, the atomic nucleus was discovered, proving the Thomson model to be incorrect An atom's positive charge is not spread over its volume as Thomson su concentrated in the tiny nucleus of radius 10 to 10 In the early years of the 20th century, a leading model of the structure of the atom was that of the English physicist J. J. Thomson (the discoverer of the electron). In Thomson's model, an atom consisted of a sphere of positively charged material in which were embedded negatively charged electrons, like chocolate chips in a ball of cookie dough. Consider such an atom consisting of one electron with mass m and charge -e, which may be regarded as a point charge, and a uniformly charged sphere of charge +e and radius R. supposed, but is Im Essay answers are limited to about 500 words (3800 characters maximum, including spaces) 3800 Character(s) remaining Submit Request Answer

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Answer 1

Outide of the dlin ofatom.eleeric force on the e kee r (radius of atom) w r> R (radius of atom) r2 ke2 F=-- Since, electric force would be attractive towards the center of sphere. When we displace in this region, electron will oscillate but it would not be simple harmonic motion. Because, for simple harmonic motion, Force should be proportional to r. (Foc r) But in our case, force is inversely proportional to the square of the distance between charged particles like F α Thus, beyond R, electron will oscillate but it would not be in simple harmonic motion. r