1a.For the Rydberg equation for hydrogen, . RH is the
Rydberg constant and is equal to 1.09737 x 107
m-1.
For the Lyman series, n=1 and the photons are in the
ultraviolet. The shortest possible wavelength corresponds to the
limit where . What is the photon energy (in eV) of this
transition?
1b.What is the energy of the photon in the Lyman series (n=1)
corresponding to m = 5? Give your answer in eV.
1. Even though the Bohr model had great success that the
theoretical calculated Rydberg constant is so close to the
experimental value, still there's small yet detectable discrepancy.
What is the factor that is responsible to this discrepancy if taken
into account one achieves perfect Rydberg constant?
2. Estimate the size of the aluminum nucleus (Z=13), using a
beam of alpha particle having kinetic energy of 7.7 MeV.
Calculate the energy of the lowest allowed energy level (the
ground state) according to Bohr's Model of the Hydrogen Atom. Give
your answer in units of eV with two decimals.
7. Compare and contrast Rutherford's model of the atom with
Bohr's original model of the atom (4 points).
b) Compare and contrast Bohr's original model of the atom and
the quantum mechanical model of the atom (4 points).
1. (a) Use Rydberg formula to calculate the wavelengths of the
four visible lines in the Balmer series of light emitted by a
hydrogen gas-discharge lamp. A diffraction grating of width 1 cm
has 2500 slits. It is used to measure the wavelengths of the
visible spectrum of hydrogen.
(b) Determine the first-order diffraction angles of the four
observed lines.
(c) What is the angular width of each one of them?