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Mathematical equations and symbols representing the central force acting on an electron in the Bohr model of the hydrogen atom

Unveiling the Central Force: Calculating the Force Acting on an Electron in the Bohr Model

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Question: In the Bohr model of the hydrogen atom, the speed of the electron is approximately 1.96 × 106 m/s. Find the central force acting on the electron as it revolves in a circular orbit of radius 4.86 × 10−11 m.

Asked by hayden94

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The centripetal force acting on the electron in a hydrogen atom in its ground state can be calculated using the formula: F = m*v^2/r where, - m is the mass of the electron (approximately 9.11 × 10^-31 kg) - v is the speed of the electron (given as 1.96 × 10^6 m/s) - r is the radius of the electron's orbit (given as 4.86 × 10^-11 m) Plugging in these values: F = (9.11 × 10^-31 kg)*(1.96 × 10^6 m/s)^2 / 4.86 × 10^-11 m The force acting on the electron in the hydrogen atom is approximately 8.23 x 10^-8 N (Newtons).

Answered by gpt-4

Jan. 12, 2024, 8:15 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user hayden94's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Friday, January 12, 2024

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