(b) the speed of revolution of the electron. (c) the period of revolution of the electron. (d) the frequency of revolution of the electron (and compare this frequency of with the frequency of visible light)
(b) the speed of revolution of the electron. (c) the period of revolution of the electron. (d) the frequency of revolution of the electron (and compare this frequency of with the frequency of visible light)
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Transcribed Image Text:1) Hydrogen-like atoms
A hydrogen-like atom (also called a hydrogenic atom) is an atom (or ion) consisting
of a nucleus of charge Ze (where Z is the atomic number of the atom) and a single
electron of charge -e orbiting the nucleus. Examples of hydrogenic atoms are hydrogen
itself, He*, Li²+, Be³+, and B4+. In a hydrogenic atom the single electron is expected to act
pretty much like a hydrogen electron, the only difference being the number of electrons
in the nucleus (which is equal to Z). According to Bohr model, for a hydrogenic atom of
atomic number Z, the orbital radius (rn) of the electron in the nth orbit is given by
where ao= 0.5Å is the Bohr radius and Å= 1.0x 10-10 m (known as the Angstrom) is
the unit distance often used in atomic and molecular physics. For Li²+, and when the
electron is in the 4th orbit (that is, for n= 4), find
(a) the coulomb force on the electron.
+Ze
M
-e
m
an²
Z
3
Transcribed Image Text:(b) the speed of revolution of the electron.
(c) the period of revolution of the electron.
(d) the frequency of revolution of the electron (and compare this frequency of with
the frequency of visible light)
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