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
In a classical model of a hydrogen atom, there is a proton at the center of the atom and an electron travelling in a circular orbit around the proton. If the radius of the electron’s orbit is r = 5x10^-10 metres, how long does it take the electron to go around the proton once?
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
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) At what radius must the electron orbit such that the circumference is twice the De Broglie
wavelength? Remember that at a different value of radius, the speed changes as seen in part
(a). Explain your calculations.
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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