Question

For the positronium atom formed by a positron and an electron,
taking into account the wavelength of the photon published in the
transition between n. and m. orbits in Bohr theory, calculate the
Rydberg constant and the wavelength (in m and Å) corresponding to
the H_{alpha} line, which is the first line of the Balmer
series,

Answer #1

A positronium is a bound electron positron state, where the
electron is rotating around a positron rather than a proton. Prove
that in a positronium bound state:a)The transition energy levels
are halved compared with those of the Hydrogen Atom.b)The electron
radii are expanded to double the corresponding radii of the
Hydrogen Atom.

5a) Positronium is a bound state of an electron and a positron.
What is the energy of the photon emitted in transitions of
positronium from the first excited state to the ground state? (A)
1.7 eV , (B) 5.1 eV , (C) 6.8 eV , (D) 13.6 eV, (E) 20.4 eV
5b) A new hydrogen-like atom is discovered where the particle
orbiting the proton has mass 2me and charge 2e, where me and e are
the mass and charge of...

For a hydrogen atom, calculate the wavelength of an emitted
photon in the Lyman series that results from the transition n = 3
to n = 1. The Rydberg constant is 2.18 x 10^-18 J.

Positronium is an exotic form of matter formed by an electron
and a positron (a positively charged electron) orbiting around a
common center at a distance of 1.06 D (from each other, not from
the center). We will assume that the system rotates in a way
approximated by the rigidrotor model. Calculate the following:
A. The first four energy levels associated to the rotation (in
three dimensions) for this system.
B. The first four possible values of the angular momentum...

Calculate the wavelength (in nm) of a photon emitted during a
transition corresponding to the first line in the Balmer series (nf
= 2) of the hydrogen emission spectrum.

Let's use the Bohr model equations to explore some properties of
the hydrogen atom. We will determine the kinetic, potential, and
total energies of the hydrogen atom in the n=2 state, and find the
wavelength of the photon emitted in the transition n=2?n=1.
Find the wavelength for the transition n=3 ?
n=2 for singly ionized helium, which has one electron and
a nuclear charge of 2e. (Note that the value of the
Rydberg constant is four times as great as...

Using the Rydberg formula, calculate the initial energy level
when an electron in a hydrogen atom transitions into n=2 and emits
a photon at 410.1 nm. Note: the Rydberg constant = 1.097 x
107 m-1

(b). Determine the (i) longest and (ii) shortest wavelength
lines (in nanometers) in the Paschen series of the hydrogen
spectrum. In which region of the spectrum is the shortest-
wavelength line? (c) Using the Balmer-Rydberg equation, calculate
the value of n corresponding to the violet emission line
(wavelength = 434.0 nm) in the Balmer series of the hydrogen
emission spectrum.

The positiron is a bound electron position pair. The positron is
the antiparticle of the electron with the charge +e and the same
rest mass as the electron. derive and calculate the following
quantities considering that e+ and e- are orbiting around the
mutual center of mass1.) radius of the bohr orbit with n=12.) binding energy of the system3.) energy and wavelength of a photon emitted if the eletron
transistions from n=2 to the ground state

The wavelengths of spectral lines depends to some extent on the
mass of the nucleus. This occurs because the nucleus is not an
infinitely heavy mass that remains stationary. In fact, in reality,
both the nucleus and the electron orbit about their common center
of mass. It can be shown that a system of this type is entirely
equivalent to a single object with a mass μμ (called the
Reduced Mass) that orbits about the location of
the nucleus at...

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