COLLEGE PHYSICS,V.2
11th Edition
ISBN: 9781305965522
Author: SERWAY
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 28, Problem 24P
(a)
To determine
The angular momentum of the Moon due to its orbital motion about Earth.
(b)
To determine
The value of the quantum number
( n )
(c)
To determine
By what fraction would the Earth-Moon radius have to be increased to increase the quantum number by 1.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Calculate the angular momentum of the Moon due to its orbital motion about Earth. In your calculation use 3.84 x 108 m as the average Earth–Moon distance and 2.36 x 106 s as the period of the Moon in its orbit. (b) If the angular momentum of the Moon obeys Bohr’s quantization rule (L = n h), determine the value of the quantum number n. (c) By what fraction would the Earth–Moon radius have to be increased to increase the quantum number by 1?
(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%.
(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.
Chapter 28 Solutions
COLLEGE PHYSICS,V.2
Ch. 28.3 - Prob. 28.1QQCh. 28.4 - Prob. 28.2QQCh. 28.5 - Prob. 28.3QQCh. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQ
Ch. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQCh. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 13CQCh. 28 - Prob. 14CQCh. 28 - Prob. 15CQCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46APCh. 28 - Prob. 47APCh. 28 - Prob. 48APCh. 28 - Prob. 49APCh. 28 - Prob. 50APCh. 28 - Prob. 51APCh. 28 - Prob. 52APCh. 28 - Prob. 53APCh. 28 - Prob. 54AP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (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. (b) If the angular momentum of the Moon obeys Bohr’s quantization rule (L=nh), ), determine the value of the quantum number n. (c) By what fraction would the Earth−Moon radius have to be increased to increase the quantum number by 1?arrow_forwardIt may be argued on theoretical grounds that the radius of the hydrogen atom should depend only on the fundamental constants h, e, the electrostatic force constant k = 1/4πℰ0, and m (the electron’s mass). Use dimensional analysis to show that the combination of these factors that yields a result with dimensions of length is h2kme2.arrow_forward(a) Using de-Broglie’s hypothesis, explain with the help of a suitable diagram, Bohr’s second postulate of quantization of energy levels in a hydrogen atom. (b) The ground state energy of hydrogen atom is -13.6 eV. What are the kinetic and potential energies of the state?arrow_forward
- Write an expression relating the kinetic energy KE of the electron and the potential energy PE in the Bohr model of the hydrogen atom. (a) Suppose a hydrogen atom absorbs a photon of energy E, resulting in the transfer of the electron to a higher - energy level. Express the resulting change in the potential energy of the system in terms of E. (b) What is the change in the electron’s kinetic energy during this process?arrow_forwardA) By what factor is the uncertainty of the electron's position(1.36×10-4 m) larger than the diameter of the hydrogen atom?(Assume the diameter of the hydrogen atom is 1.00×10-8 cm.) B) Use the Heisenberg uncertainty principle to calculate Δx for a ball (mass = 122 g, diameter = 8.50 cm) with Δv = 0.425 m/s. C) The uncertainty of the (above) ball's position is equal to what factor times the diameter of the ball?arrow_forwardUsing the Boh model of an electron orbiting a nucleus, the angular momentum of Earth's orbit around the Sun is 2.67 x 1040 g m2 s−1. Using the Bohr quantization condition, what is the quantum number n for Earth's orbit? If the Earth transitions from this orbit to n-1 (emitting a graviton, which is the gravitational anagloue of the photon), how much energy would be released? Find the frequency of the graviton.arrow_forward
- What is the average radius of the orbit of an electron in the n=2 energy level of an oxygen atom (Z=8)? Express your answer in pico-meters.arrow_forwardIn accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5×1011 m with orbital speed 3 × 104 m/s. (Mass of earth= 6.0 × 1024 kg.)arrow_forwardThe quantum state of an electron in an atom is described by quantum numbers n = 6, ℓ = 4, and mℓ = 1. The orbital total angular momentum of the electron is measured to be x × h/2π, where h is Planck’s constant. What is the number x(remember to use the scientific notation)?arrow_forward
- An atom of iron has a radius of 156. pm and the average orbital speed of the electrons in it is about ×5.7*10^7 m/s. Calculate the least possible uncertainty in a measurement of the speed of an electron in an atom of iron. Write your answer as a percentage of the average speed, and round it to 2 significant digits.arrow_forwardSuppose that the uncertainty in position of an electron is equal to the radius of the n=1n=1 Bohr orbit, about 0.529×10−10m0.529×10−10m. A) Calculate the minimum uncertainty in the corresponding momentum component. Express your answer in kilogram meters per second. B) Compare this with the magnitude of the momentum of the electron in the n=1n=1 Bohr orbit. Compare this with the magnitude of the momentum of the electron in the Bohr orbit. a) This is greater than the magnitude of the momentum of the electron in the n=1n=1 Bohr orbit. b) This is the same as the magnitude of the momentum of the electron in the n=1n=1 Bohr orbit. c) This is less than the magnitude of the momentum of the electron in the n=1n=1 Bohr orbit.arrow_forwarda)Suppose a hydrogen molecule in its ground state is dissociated by absorbing a photon of ultraviolet light, causing the two hydrogen atoms to fly apart. What photon energy will give each atom a speed of 19 km/s? The mass of a hydrogen atom is 1.7×10^−27 kg Express your answer to two significant figures and include the appropriate units.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax