Question

Find the angular velocity ω in billion radians/s of a single electron orbiting a single proton in a hydrogen atom. Assume the orbit is circular, the proton is not moving and all of the centripetal force is supplied by the Coulomb force. The radius of the orbit is 0.530 x 10^-10 m. (Recall that the centripetal force Fc = mv^2/r)

Answer #1

what is angular velocity of a single electron orbiting
a single proton in a hydrogen atom. The orbit is circular and the
proton is not moving. centripetal force is supplied by the coulomb
force.
radius = 0.530×10^-10m

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...

Consider a hydrogen atom: a single electron that orbit the
proton, the electron circular orbit has radius Bohr ground state
.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...

The electron in a hydrogen atom can be thought of as orbiting
around the nucleus (a single proton) in a circular orbit of radius
5.28×10−11m with a velocity of constant magnitude
2.190×106m/s . At t= 0s a hydrogen
atom is placed in a vacuum chamber that is filled with a uniform
magnetic field of magnitude 3.3×1011T pointing in the
positive z -direction. The hydrogen atom is oriented such
that its electron is orbiting counter-clockwise in the
xy -plane at t= 0s .
What is the...

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
velocity of 1090729.85781991 m/s.
What is the radius of the orbit?
What is the angular momentum, L, of the electron at this
radius?
What is the quantum value, n, of the electron at this
radius?
What is the total energy of the...

The electron in a hydrogen atom can be thought of as orbiting
around the nucleus (a single proton) in a circular orbit of radius
5.28×10−11m with a velocity of constant magnitude
2.190×106m/s . At t= 0s a hydrogen
atom is placed in a vacuum chamber that is filled with a uniform
magnetic field of magnitude 3.3×1011T pointing in the
positive z -direction. The hydrogen atom is oriented such
that its electron is orbiting counter-clockwise in the
xy -plane at t= 0s .
At t= 12s ,...

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
angular momentum of 9.495e-34 Js.
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
radius?
What is the kinetic energy in electron-volts?

In the Bohr model of the hydrogen atom, an electron moves in a
circular path around a proton. The speed of the electron is
approximately 2.17 106 m/s.
(a) Find the force acting on the electron as it revolves in a
circular orbit of radius 0.532 ✕ 10−10 m. magnitude
(b) Find the centripetal acceleration of the electron.
magnitude

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...

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