According to the Bohr model of a hydrogen atom, the electron behaves as a particle moving in a circular path centered on the proton. The proton is considered to be fixed within an inertial frame, while the required centripetal force is supp

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According to the Bohr model of a hydrogen atom, the electron behaves as a particle moving in a circular path centered on the proton. The proton is considered to be fixed within an inertial frame, while the required centripetal force is supplied by Coulomb attraction. For the ground state, the electron revolves around the proton in a circle of radius 5.3 10⁻¹¹ m . Determine the speed of the electron in this ground sta

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Correct answer: B. 2.2 10^6 m/s

The centripetal force acting on the electron is provided by the electrostatic force of attraction between the proton and the electron. mv^2 r = 1 4 ₀ e^2 r^2 v = 1 4 ₀ e^2 mr Substituting the given values: v = 9 10^9 (1.6 10⁻¹⁹)^2 9.1 10⁻³¹ 5.3 10⁻¹¹ v = 23.04 10⁻²⁹ 48.23 10⁻⁴² v = 4.777 10¹² v 2.18 10^6 m/s 2.2 10^6 m/s

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