## Sunday, February 13, 2011

### Mastering Physics: Hydrogen-Like Atoms

According to the Bohr model of a hydrogen atom, the frequency of light radiated by an electron moving from an orbit to an orbit corresponds to the energy level difference between and of
,
where
,
and where is the electron mass, is the atomic number, is the magnitude of the electron charge, is the permittivity of free space, and is Planck's constnt divided by . In the case of hydrogen () .

Part A Find the frequency of light radiated by an electron moving from orbit to inside of a ion.
 = 9.860×1015

Part B
In the Bohr model of hydrogen, the radius of the orbit is defined as
,
where
is called the Bohr radius. Find the radius of a valence orbital for a ion.