Question

The hydrogen atom consists of one electron orbiting one proton in a circular orbit.

**(a)** Using Coulomb's Law and concepts of
centripetal acceleration/force, show that the radius
**r** of the orbit is given by

where **K** is the kinetic energy of the electron,
*k* is the Coulomb's Law constant, +*e* is the charge
of the proton, and -*e* is the charge of the electron.

**(b)** Calculate **r** when the
kinetic energy of the electron is 13.6 eV.

**(c)** What percentage of the speed of light
(2.998 x 10^{8} m/s) is the speed of the electron when its
kinetic energy is 13.6 eV?

Answer #1

Consider a hydrogen atom: a single electron that orbit the
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.529 angstrom.
a. Calculate the magnitude of the Coulomb's force between the
proton and electron
b. Write this force in vector form.
c. Calculate the velocity and acceleration of the electron.
d. Calculate the electron's electric potential energy in
electron volt.

in the bhor model of the hydrogen atom the electron is assumed
to orbit the proton in a circle at an average distance of
5.3x10^-11 m. the centripetal force keeping the electron in orbit
is due to the Coulomb force law. e= 1.6x10^-19C, electron = 9.11 x
10^-31
1. what is the electrons velocity?
2. how long does it take the electron to make one orbit around
the proton?
3. the current produced by the electron orbiting the proton is...

what is angular velocity of a single electron orbiting
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force.
radius = 0.530×10^-10m

A Hydrogen atom has one proton in the nucleus and one electron
in the shell. In a classic model of the atom, in a certain state,
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What is the radius of the orbit?
4.30×10-9m
What is the speed of the electron at this radius?
What is the kinetic energy of the electron at this
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What is the kinetic energy in electron-volts?

In a Hydrogen atom an electron rotates around a stationary
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=0.053nm. (a) Find the magnitude of the electrostatic force of
attraction, Fe between the electron and the proton. (b) Find the
magnitude of the gravitational force of attraction Fg , between the
electron and the proton, and find the ratio, Fe /Fg . me = 9.11 x
10-31kg, e = 1.602 x 10-19C mp = 1.67 x 10-27kg k...

Find the angular velocity ω in billion radians/s of a single
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Fc = mv^2/r)

In Bohr's model for the Hydrogen atom, the electron when it is at the third level rotates in a circular orbit around the proton, at a radius of 4.7 x 10^-10 m. The proton has a positive electric charge of 1.6 x10^-19 C, while the electron has the same charge with an opposite sign. The electrical force between the two particles is responsible for the centripetal force that keeps the electron in its orbit. The mass of the proton is...

In the Bohr model of the hydrogen atom, an electron moves in a
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(a) Find the force acting on the electron as it revolves in a
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(b) Find the centripetal acceleration of the electron.
magnitude

A Hydrogen atom has one proton in the nucleus and one electron
in the shell. In a classic model of the atom, in a certain state,
this electron is in a circular orbit around the nucleus with an
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What is the radius of the orbit?
What is the angular momentum, L, of the electron at this
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What is the quantum value, n, of the electron at this
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What is the total energy of the...

Consider the Bohr model of the hydrogen atom for which an
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a stationary proton at radius a0. (a) Find an expression
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Find an expression for the potential energy of the electron in the
ground state. (c) Find an expression for the ionization energy of
an electron from the ground state of the hydrogen atom. The
ionization energy is...

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