Problem 18.01. (Numerical) According to the Bohr model, a Hydrogen atom is composed of a proton and an electron in orbit. If the electron, with charge qe = -1.602 × 10-19 C, orbits at proton (equal and opposite charge) a radius að = 5.29177 × 10−¹¹ m, (a) what is the magnitude and direction of the electric force felt by the electron? (b) If the electron has a mass of 9.109 × 10−³¹ kg and the proton a mass 1.6726 × 10-27 kg, what is the ratio of the magnitude of the electric force to the gravitational force for this system? (c) According to the Bohr model, the electric force supplies a centripetal force for the electron to stay in orbit. Given the Bohr radius and electric force strength, how fast does the electron "orbit"? (This model is incorrect, this problem is one clue as to why).

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter19: Electric Forces And Electric Fields
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Problem 18.01. (Numerical) According to the Bohr model, a Hydrogen atom is composed
of a proton and an electron in orbit. If the electron, with charge qe = -1.602 × 10-¹9 C,
de
orbits at proton (equal and opposite charge) a radius ao = 5.29177 × 10-¹1 m, (a) what is
the magnitude and direction of the electric force felt by the electron? (b) If the electron has
a mass of 9.109 × 10-³1 kg and the proton a mass 1.6726 × 10-27 kg, what is the ratio of
the magnitude of the electric force to the gravitational force for this system? (c) According
to the Bohr model, the electric force supplies a centripetal force for the electron to stay in
orbit. Given the Bohr radius and electric force strength, how fast does the electron "orbit"?
(This model is incorrect, this problem is one clue as to why).
Transcribed Image Text:Problem 18.01. (Numerical) According to the Bohr model, a Hydrogen atom is composed of a proton and an electron in orbit. If the electron, with charge qe = -1.602 × 10-¹9 C, de orbits at proton (equal and opposite charge) a radius ao = 5.29177 × 10-¹1 m, (a) what is the magnitude and direction of the electric force felt by the electron? (b) If the electron has a mass of 9.109 × 10-³1 kg and the proton a mass 1.6726 × 10-27 kg, what is the ratio of the magnitude of the electric force to the gravitational force for this system? (c) According to the Bohr model, the electric force supplies a centripetal force for the electron to stay in orbit. Given the Bohr radius and electric force strength, how fast does the electron "orbit"? (This model is incorrect, this problem is one clue as to why).
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