Explanation Write the expression for the angular momentum of the orbit. L = m v r 1 (I) Here, L is the angular momentum of the orbit, r 1 is the radius of the hydrogen atom by the Bohr model , v is the nonrelativistic speed and m is the mass of the electron. Write the expression for the radius of the angular momentum of the orbit. L = n h 2 π (II) Here, n is the quantum number and h is the plank’s constant. Substitute m v r 1 for L in the above equation. m v r 1 = n h 2 π v = h 2 π m r 1 (III) Write the expression for the relativistic factor. 1 − ( v c ) 2 ≈ 1 − ( v c ) 2 (IV) Here, c is the speed of light. Conclusion: Substitute 0.529 × 10 − 10 m for r 1 , 6.63 × 10 − 34 J ⋅ s for h and 9.11 × 10 − 31 kg for m in equation (I) to find the nonrelativistic speed. v = ( 6.63 × 10 − 34 J ⋅ s ) 2 π ( 9

4th Edition

ISBN: 9780131992269

Author: GIANCOLI

Publisher: PEARSON

See similar textbooks

Concept explainers

Quantum mechanics and hydrogen atom

Consider an electron of mass m moves with the velocity v in a hydrogen atom. If an electron is at a distance r from the proton, then the potential energy function of the electron can be written as follows:

Isotopes of Hydrogen Atoms

To understand isotopes, it's easiest to learn the simplest system. Hydrogen, the most basic nucleus, has received a great deal of attention. Several of the results seen in more complex nuclei can be seen in hydrogen isotopes. An isotope is a nucleus of t…

Mass of Hydrogen Atom

Hydrogen is one of the most fundamental elements on Earth which is colorless, odorless, and a flammable chemical substance. The representation of hydrogen in the periodic table is H. It is mostly found as a diatomic molecule as water H2O on earth. It is …

Question

Chapter 37, Problem 67P

To determine

Whether the use of nonrelativistic formulas are justified in the Bohr atom.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 37, Problem 66P

Chapter 37, Problem 68P

Students have asked these similar questions

Suppose an electron was bound to a proton, as in thehydrogen atom, but by the gravitational force rather thanby the electric force. What would be the radius, and energy,of the first Bohr orbit?

Show that the speed of the electron in the nth Bohr orbit in hydrogen is given by υn = (kee2)/(nh)

the probability of the presence of an electron in the ground state of a hydrogen atom can never be zero, why?

Chapter 37 Solutions

PHYSICS F/SCI.+ENGINEERS-ACCESS

Ch. 37.2 - Prob. 1AE Ch. 37.2 - Prob. 1BE Ch. 37.4 - Prob. 1CE Ch. 37.7 - Prob. 1DE Ch. 37.7 - Prob. 1EE Ch. 37.11 - Prob. 1FE Ch. 37 - Prob. 1Q Ch. 37 - Prob. 2Q Ch. 37 - Prob. 3Q Ch. 37 - Prob. 4Q

Ch. 37 - Prob. 5Q Ch. 37 - Prob. 6Q Ch. 37 - Prob. 7Q Ch. 37 - Prob. 8Q Ch. 37 - Prob. 9Q Ch. 37 - Prob. 10Q Ch. 37 - Prob. 11Q Ch. 37 - Prob. 12Q Ch. 37 - Prob. 13Q Ch. 37 - Prob. 14Q Ch. 37 - Prob. 15Q Ch. 37 - Prob. 16Q Ch. 37 - Prob. 17Q Ch. 37 - Prob. 18Q Ch. 37 - Prob. 19Q Ch. 37 - Prob. 20Q Ch. 37 - Prob. 21Q Ch. 37 - Prob. 22Q Ch. 37 - Prob. 23Q Ch. 37 - Prob. 24Q Ch. 37 - Prob. 25Q Ch. 37 - Prob. 26Q Ch. 37 - Prob. 27Q Ch. 37 - Prob. 28Q Ch. 37 - Prob. 1P Ch. 37 - Prob. 2P Ch. 37 - Prob. 3P Ch. 37 - Prob. 4P Ch. 37 - Prob. 5P Ch. 37 - Prob. 6P Ch. 37 - Prob. 7P Ch. 37 - Prob. 8P Ch. 37 - Prob. 9P Ch. 37 - Prob. 10P Ch. 37 - Prob. 11P Ch. 37 - Prob. 12P Ch. 37 - Prob. 13P Ch. 37 - Prob. 14P Ch. 37 - Prob. 15P Ch. 37 - Prob. 16P Ch. 37 - Prob. 17P Ch. 37 - Prob. 18P Ch. 37 - Prob. 19P Ch. 37 - Prob. 20P Ch. 37 - Prob. 21P Ch. 37 - Prob. 22P Ch. 37 - Prob. 23P Ch. 37 - Prob. 24P Ch. 37 - Prob. 25P Ch. 37 - Prob. 26P Ch. 37 - Prob. 27P Ch. 37 - Prob. 28P Ch. 37 - Prob. 29P Ch. 37 - Prob. 30P Ch. 37 - Prob. 31P Ch. 37 - Prob. 32P Ch. 37 - Prob. 33P Ch. 37 - Prob. 34P Ch. 37 - Prob. 35P Ch. 37 - Prob. 36P Ch. 37 - Prob. 37P Ch. 37 - Prob. 38P Ch. 37 - Prob. 39P Ch. 37 - Prob. 40P Ch. 37 - Prob. 41P Ch. 37 - Prob. 42P Ch. 37 - Prob. 43P Ch. 37 - Prob. 44P Ch. 37 - Prob. 45P Ch. 37 - Prob. 46P Ch. 37 - Prob. 47P Ch. 37 - Prob. 48P Ch. 37 - Prob. 49P Ch. 37 - Prob. 50P Ch. 37 - Prob. 51P Ch. 37 - Prob. 52P Ch. 37 - Prob. 53P Ch. 37 - Prob. 54P Ch. 37 - Prob. 55P Ch. 37 - Prob. 56P Ch. 37 - Prob. 57P Ch. 37 - Prob. 58P Ch. 37 - Prob. 59P Ch. 37 - Prob. 60P Ch. 37 - Prob. 61P Ch. 37 - Prob. 62P Ch. 37 - Prob. 63P Ch. 37 - Prob. 64P Ch. 37 - Prob. 65P Ch. 37 - Prob. 66P Ch. 37 - Prob. 67P Ch. 37 - Prob. 68P Ch. 37 - Prob. 69P Ch. 37 - Prob. 70P Ch. 37 - Prob. 71P Ch. 37 - Prob. 72GP Ch. 37 - Prob. 73GP Ch. 37 - Prob. 74GP Ch. 37 - Prob. 75GP Ch. 37 - Prob. 76GP Ch. 37 - Prob. 77GP Ch. 37 - Prob. 78GP Ch. 37 - Prob. 79GP Ch. 37 - Prob. 80GP Ch. 37 - Prob. 81GP Ch. 37 - Prob. 82GP Ch. 37 - Prob. 83GP Ch. 37 - Prob. 84GP Ch. 37 - Prob. 85GP Ch. 37 - Prob. 86GP Ch. 37 - Prob. 87GP Ch. 37 - Prob. 88GP Ch. 37 - Prob. 89GP Ch. 37 - Prob. 90GP Ch. 37 - Prob. 91GP Ch. 37 - Prob. 92GP Ch. 37 - Prob. 93GP Ch. 37 - Show that the wavelength of a particle of mass m...Ch. 37 - Prob. 95GP Ch. 37 - Prob. 96GP Ch. 37 - Prob. 97GP Ch. 37 - Prob. 98GP Ch. 37 - Prob. 99GP Ch. 37 - Prob. 100GP

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.

Whether the use of nonrelativistic formulas are justified in the Bohr atom.

Solution Summary: The author explains that nonrelativistic formulas are justified in the Bohr atom. Write the expression for the angular momentum of the orbit.

Concept explainers

Whether the use of nonrelativistic formulas are justified in the Bohr atom.

Want to see the full answer?

Chapter 37 Solutions