Combining Maxwell, Plank, and Bohr’s Equations

Maxwell, Plank, and Bohr’s equations are all interrelated. Constant values are highlighted in red. A variable from one equation can be plugged into another such that the three equations can all be used together to relate wavelength, frequency, energy, and shell number.

Example: What is the wavelength of a electron transitioning from n= 3 to n= 1? Is this electron emitting or absorbing energy? Explain.

Given:

• n_i = 3
• n_f = 1

Constants:

• c = 3.00 x 108 m/s
• h = 6.63 x 10^-34 J s
• R_H = 2.18 x 10^-18 J

Solve:

PART I: Solve for energy

PART II: Combined Maxwell and Plank equations and solve for wavelength using energy value found in part I.