5. In the Bohr model for hydrogen, the radius of the nth orbit can be shown to be ³ times the radius of the first Bohr orbit r,-0.05 nm (see Example 10.3). Similarly, the energy of an electron in the nth orbit is times its energy when in the n 1 orbit. What is the circumference of the n = 100 orbit? (This is the distance the electron has traveled after having revolved around the proton once.) For such large-n states, the orbital frequency is about equal to the frequency of the photon emitted in a transition from the nth level to an adjacent level with n + 1 or n- 1. Given this, find the frequency and corresponding period of the electron's orbit by computing the frequency associated with the transition from n = 100 to n = 101. Using your values for the electron's orbital size (distance) and travel time (period), calculate the approximate speed of the electron in the 100th orbit. How does this speed compare to the speed of light?

5. In the Bohr model for hydrogen, the radius of the nth orbit can be shown to be ³ times the radius of the first Bohr orbit r,-0.05 nm (see Example 10.3). Similarly, the energy of an electron in the nth orbit is times its energy when in the n 1 orbit. What is the circumference of the n = 100 orbit? (This is the distance the electron has traveled after having revolved around the proton once.) For such large-n states, the orbital frequency is about equal to the frequency of the photon emitted in a transition from the nth level to an adjacent level with n + 1 or n- 1. Given this, find the frequency and corresponding period of the electron's orbit by computing the frequency associated with the transition from n = 100 to n = 101. Using your values for the electron's orbital size (distance) and travel time (period), calculate the approximate speed of the electron in the 100th orbit. How does this speed compare to the speed of light?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

The Bohr model

Students often get confused between Rutherford’s model and Bohr model of an atom. They interpret the postulates of both these models to be the same, which is incorrect. Rutherford’s model differs from Bohr’s model in the following ways:

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5. In the Bohr model for hydrogen, the radius of the nth orbit
can be shown to be »² times the radius of the first Bohr
orbit = 0.05 nm (see Example 10.3). Similarly, the energy
of an electron in the nth orbit is times its energy when
in the - 1 orbit. What is the circumference of the n = 100
orbit? (This is the distance the electron has traveled after
having revolved around the proton once.) For such large-n
states, the orbital frequency is about equal to the frequency
of the photon emitted in a transition from the nth level to
an adjacent level with n + 1 or n - 1. Given this, find the
frequency and corresponding period of the electron's orbit
by computing the frequency associated with the transition
100 to n = 101. Using your values for the
electron's orbital size (distance) and travel time (period),
calculate the approximate speed of the electron in the
100th orbit. How does this speed compare to the speed of
light?
from n =
6. Long before the advent of quantum mthanics, physicists
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wavelend of the emission lines
hydrogen. Specifically,
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the nth level (m> n)"
of the emitted photon
is given by
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