Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 4, Problem 23P

(a)

To determine

The radius of the orbit of the hydrogen atom in its ground state.

(b)

To determine

The linear momentum of the electron in the ground state of hydrogen atom.

(c)

To determine

The angular momentum of the electron in the ground state of hydrogen atom.

(d)

To determine

The kinetic energy of the electron in the ground state of the hydrogen atom.

(e)

To determine

The potential energy of the electron in the ground state of the hydrogen atom.

(f)

To determine

The total energy of the electron in the ground state of the hydrogen atom.

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A hydrogen atom is in its first excited state (n = 2). Using the Bohr theory of the atom, calculate (a) the radius of the orbit, (b) the linear momentum of the electron, (c) the angular momentum of the electron, (d) the kinetic energy, (e) the potential energy, and (f) the total energy.
(a) Calculate the angular momentum of the Moon due to its orbital motion about Earth. In your calculation use 3.84 × 108 m as the average Earth- Moon distance and 2.36 × 106 s as the period of the Moon in its orbit. (Use 7.36 × 1022 kg for the mass of the moon.) kg. m²/s 2.889e34 (b) If the angular momentum of the moon obeys Bohr's quantization rule (L: nh) determine the value of the quantum number, n. 2.7395e68 (c) By what fraction would the Earth-Moon radius have to be increased to increase the quantum number by 1? 1.825e-69 X Your response differs from the correct answer by more than 10%. Double check your calculations.
(a) Calculate the angular momentum of the Moon due to its orbital motion about Earth. In your calculation use 3.84 x 10⁰ m as the average Earth- Moon distance and 2.36 × 106 s as the period of the Moon in its orbit. (Use 7.36 × 1022 kg for the mass of the moon.) 2.889e34 kg. m²/s (b) If the angular momentum of the moon obeys Bohr's quantization rule (L = nħ) determine the value of the quantum number, n. 8.463e67 Your response differs from the correct answer by more than 10%. Double check your calculations. (c) By what fraction would the Earth-Moon radius have to be increased to increase the quantum number by 1? 2.3632e-6 X Your response differs from the correct answer by more than 100%.
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