Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Textbook Question
Chapter 7, Problem 1C
Compute the electric force acting between the electron and the proton in a hydrogen atom. The radius of the smallest orbit of the electron around the proton is about 
m.
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Students have asked these similar questions
A hydrogen atom contains a single electron that moves in a circular orbit about a single proton. Assume the proton is stationary, and the electron has a speed of 9.2 *105 m/s. Find the radius between the stationary proton and the electron orbit within the hydrogen atom.
In a simple model of the hydrogen atom, the electron moves in a circular orbit of radius rB = 0.053 nm
around a stationary proton.
(a) Ignoring the gravitational attraction between the electron and the proton, how many revolutions per
second does the electron make?
(b) Which force is larger, the electric force the proton exerts on the electron or the gravitational force the
proton exerts on the electron? By how much?
In the early 1900s, scientists modelled the hydrogen atom as an electron orbiting a proton.
Like when we look at the Earth and Sun, we can consider the proton to be stationary,
and the electron to be in orbit around the proton in a perfect circle.
Unlike the Earth and Sun, the force responsible for the circular motion of the electron is
the attractive electric force between the proton and electron. All other forces can be ignored.
Experiments showed that the electron's orbital radius was 5.29x10^-11m.
a) Calculate the speed of the electron in its orbit.
b) Show that the circumference of the electron's orbit (2 times pi times radius)
is about equal to the electron's De Broglie wavelength at that speed.
Electron: mass = 9.11x10^-31kg, charge = -1.60x10^-19C.
Proton: mass = 1.67x10^-27kg, charge = +1.60x10^-19C.
Coulomb's constant: k = 9.00x10^9 Nm^2/C^2
Planck's constant: h = 6.63x10^-34 Js
Chapter 7 Solutions
Inquiry into Physics
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