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.

MPB1

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

Given:

  • ni = 3
  • nf = 1

Constants:

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

MPB2

Solve:

PART I: Solve for energy

MPB3

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

MPB4

MPB5

Screen Shot 2018-01-18 at 5.42.31 PM

Screen Shot 2018-01-18 at 5.39.29 PM

 

 

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