Question

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 2,000 times greater than that of the electron, so we can assume that the proton is still and only the electron rotates. The mass of the electron is 9.11x 10^-31 kg 1) Make a drawing that explains the electric field lines from the proton to the electron that hold them together and sketch the orbit of the electron. Indicate the electron velocity vector on the drawing. 2) Using Coulomb's Law, calculate the value of the electric force between the proton and the electron. 3) From Newton's law, find the value of the centripetal acceleration of the electron. 4) Now calculate the value of the velocity of the electron in its orbit 5) Find the value of the angular momentum (L = m v r) of the electron and verify that this value is equal (approximately) to twice the Planck constant (h bar = 1.05 x 10^-34 kg m² / s)

Answer #1

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 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 Niels Bohr's 1913 model of the hydrogen atom, an electron
circles the proton at a distance of 5.29 ✕ 10-11 m with a speed of
2.19 ✕ 106 m/s. Compute the magnitude of the magnetic field that
this motion produces at the location of the proton.

Question 1 In this question we undertake the Hydrogen Atom Model,
developed in 1913 by Niels Bohr. a) Write the electric force
reigning between the proton and the electron, in the hydrogen atom,
in CGS system. Then equate this force, with the force expressed in
terms of mass and acceleration, to come up with Bohr's equation of
motion. Suppose that the electron orbit, around the proton, is
circular. Use the following symbols, throughout. e: proton's or
electron's charge intensity(4.8x 10-8...

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

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

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)

In a Hydrogen atom an electron rotates around a stationary
proton in a circular orbit with an approximate radius of r
=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...

In the Bohr model, the electron moves in a circular orbit around
the nucleus with a radius of 5 . 29 × 10 - 11 m . What is the
magnitude of the electric force between the electron and the
proton?

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