Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 11, Problem 39P
(a)
To determine
The orbital speed of the electron in a hydrogen atom in its ground state.
(b)
To determine
The kinetic energy of the electron in the ground state of the hydrogen atom.
(c)
To determine
The electric potential energy of the atom.
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Students have asked these similar questions
In another two-atom molecule that is breaking apart, the force from one atom to the other is given by
F12= F0(r/r2)e^-(r/r2)^2
where F0 = 15.6 eV/nm and r2 = 2.2 nm. Find the change in potential energy of the molecule due to this force if the separation of the atoms changes from r = 2.5 nm to r = 4.1 nm.
Consider the earth-sun system as a gravitational analog to the hydrogen atom. You may need to know
that the mass of the earth is
m =
5.97219 × 1024 kg,
the mass of the sun is
the distance between the sun and the earth is
ework 08
M = 1.98847 × 1030 kg,
R = 1.49598 × 1011
m,
1
2
and the force and potential energy distribution that the earth experiences due to the gravitational field
of the sun are
GmM
F
7.2
GmM
U(r) = -
==
r
where G is the gravitation constant
G = 6.67428 × 10-11 N m²/kg².
[Some standard calculators have issues with the numbers in this problem. If you get overflow or
underflow errors, try using MATLAB]
(a) Using the fact that the centripetal force must have magnitude
mv2
F
=
r
what is the centripetal velocity of the earth at an arbitrary radius r?
(b) Using the centripetal velocity, find the total energy of this system as
E=T+U
1
= √mv² + U(r).
(c) Use Bohr's assertion that
mvr = nh,
to find the radii rn as a function of the principle quantum number n for the earth-sun…
One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is
U(r) = Uo[()13 – (4)1
where ro = 0.7 nm and Ug = 7.1 ev.
Note: 1 eV = 1.6 × 10–19 J.
Some helpful units:
[Force] = eV/nm
[Energy] = eV
[distance] = nm
Chapter 11 Solutions
Principles of Physics: A Calculus-Based Text
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Ch. 11 - Prob. 7OQCh. 11 - Prob. 8OQCh. 11 - Prob. 9OQCh. 11 - Rank the following quantities of energy from...Ch. 11 - Prob. 11OQCh. 11 - Prob. 12OQCh. 11 - Prob. 13OQCh. 11 - Prob. 14OQCh. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - In his 1798 experiment, Cavendish was said to have...Ch. 11 - Prob. 1PCh. 11 - Prob. 2PCh. 11 - A 200-kg object and a 500-kg object are separated...Ch. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - Prob. 9PCh. 11 - Prob. 10PCh. 11 - A spacecraft in the shape of a long cylinder has a...Ch. 11 - (a) Compute the vector gravitational field at a...Ch. 11 - Prob. 13PCh. 11 - Two planets X and Y travel counterclockwise in...Ch. 11 - Prob. 15PCh. 11 - Prob. 16PCh. 11 - Prob. 17PCh. 11 - Prob. 18PCh. 11 - Plasketts binary system consists of two stars that...Ch. 11 - As thermonuclear fusion proceeds in its core, the...Ch. 11 - Comet Halley (Fig. P11.21) approaches the Sun to...Ch. 11 - Prob. 22PCh. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - Prob. 25PCh. 11 - A space probe is fired as a projectile from the...Ch. 11 - Prob. 27PCh. 11 - Prob. 28PCh. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - Prob. 34PCh. 11 - Prob. 35PCh. 11 - Prob. 36PCh. 11 - Prob. 37PCh. 11 - Prob. 38PCh. 11 - Prob. 39PCh. 11 - Prob. 40PCh. 11 - Prob. 41PCh. 11 - Prob. 42PCh. 11 - Prob. 43PCh. 11 - Prob. 44PCh. 11 - Prob. 45PCh. 11 - Prob. 46PCh. 11 - Let gM represent the difference in the...Ch. 11 - Prob. 48PCh. 11 - Prob. 49PCh. 11 - Two stars of masses M and m, separated by a...Ch. 11 - Prob. 51PCh. 11 - Prob. 52PCh. 11 - Prob. 53PCh. 11 - Prob. 54PCh. 11 - Prob. 55PCh. 11 - Prob. 56PCh. 11 - Prob. 57PCh. 11 - Prob. 58PCh. 11 - Prob. 59PCh. 11 - Prob. 60PCh. 11 - Prob. 61PCh. 11 - Prob. 62PCh. 11 - Prob. 63PCh. 11 - Prob. 64PCh. 11 - Prob. 65P
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