Question

The ”most-probable” distance from the nucleus to observe the
electron in a 1H hydrogen atom in its ground state is the Bohr
radius, a_{0}= 5.29×10^−11m. What is the probability of
observing the electron in a ground state hydrogen atom somewhere
within any greater distance r from the nucleus a_{0} ≤ r
<∞?

Answer #1

Probability = 0.68 (beyond one Bohr radius ao)

if you have any doubt related to the answer please let me know in comments. Give a thumbs up if you like the answer.

#3
Calculate the probability that the electron in the ground state of
the hydrogen atom will be at a
radius greater than the Bohr’s radius (i.e. compute the probability
P(r > a0) for n = 1 and
ℓ = 0)

Based on the solutions to the Schrödinger equation for the
ground state of the hydrogen atom, what is the probability of
finding the electron within (inside) a radial distance of
3.5a0 (3.5 times the Bohr radius) of the nucleus?
Express the probability as a decimal (for example, 50% would be
expressed as 0.50).

Consider the Bohr model of the hydrogen atom for which an
electron in the ground state executes uniform circular motion about
a stationary proton at radius a0. (a) Find an expression
for the kinetic energy of the electron in the ground state. (b)
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...

A hydrogen atom is made up of a proton of
charge +Q = 1.60 x10-19 C and an
electron of charge –Q= –1.60 x
10-19 C. The proton may be regarded as a point charge at
the center of the atom. The motion of the electron causes its
charge to be "smeared out" into a spherical distribution around the
proton, so that the electron is equivalent to a charge per unit
volume of ρ ( r ) = − Q...

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...

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?

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 ,...

On average, an electron will exist in any given state in the
hydrogen atom for about 10−8 s before jumping to a lower level. In
the Bohr model of the hydrogen atom, estimate the number ? of
revolutions that an electron in the ?=4 energy level would make
about the nucleus.

An electron in an atom is a distance 2.42 x 10-11 m
from the nucleus of the atom. The nucleus of the atom contains 10
protons.
1. Calculate the electric field at the position of the electron
due to the charges present in the nucleus. Take Coulomb's constant,
k = 8.99 x 109 N m2 C-2
2. Calculate the force experienced by the electron when it is
2.42 x 10-11 m away from the nucleus.
3. In which direction does...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 6 minutes ago

asked 14 minutes ago

asked 21 minutes ago

asked 32 minutes ago

asked 33 minutes ago

asked 36 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago