In the Bohr model of the hydrogen (H) atom, the electron moves on a circular path (orbit) around the nucleus, which consists of a single proton. In the ground state of H (the lowest energy level of H), the electron orbits the proton at a distance of 0.529 Å (or 5.29 × 10-¹¹ m; 1 A = 10-¹0 m) with a linear speed of 2.19 × 106 m/s. (a) What is the angular speed of the electron? (b) How many orbits around the proton does the electron make each second? (c) What is the electron's centripetal acceleration?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter6: Applications Of Newton’s Laws Of Motion
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Problem 79PQ: The radius of circular electron orbits in the Bohr model of the hydrogen atom are given by (5.29 ...
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1. In the Bohr model of the hydrogen (H) atom, the electron moves on a circular path (orbit) around the nucleus,
which consists of a single proton. In the ground state of H (the lowest energy level of H), the electron orbits
the proton at a distance of 0.529 Å (or 5.29 x 10-11
m; 1 Å
= 10-10 m) with a linear speed of 2.19 × 106 m/s.
(a) What is the angular speed of the electron?
(b) How many orbits around the proton does the electron make each second?
(c) What is the electron's centripetal acceleration?
Transcribed Image Text:1. In the Bohr model of the hydrogen (H) atom, the electron moves on a circular path (orbit) around the nucleus, which consists of a single proton. In the ground state of H (the lowest energy level of H), the electron orbits the proton at a distance of 0.529 Å (or 5.29 x 10-11 m; 1 Å = 10-10 m) with a linear speed of 2.19 × 106 m/s. (a) What is the angular speed of the electron? (b) How many orbits around the proton does the electron make each second? (c) What is the electron's centripetal acceleration?
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