An electron in a hydrogen atom moves in a circular orbit of radius

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

An electron in a hydrogen atom moves in a circular orbit of radius 5.29×10−11 m5.29\times10^{-11}\,\text{m}. The required centripetal acceleration for this orbit is estimated to be 9.0×1022 m s−29.0\times10^{22}\,\text{m s}^{-2}. (i) Determine the angular speed of the electron in rad s−1\text{rad s}^{-1}. (ii) Hence calculate the time period of revolution of the electron. (iii) Using the value of the linear speed obtained from your work, comment briefly on whether the electron’s motion may be treated as non-relativistic in this model.

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