Question

1) The spectrum of lithium has a red line of 670.8 nanometers. (Remember 1 m = 1 X 109 nm) a. Convert the nanometer to meter using dimensional analysis. b. Calculate the frequency of the wave. c. Calculate the energy of a photon with this wavelength.

Answer 1

E = ħc / λ
 ħ = plancks constant = 6.626x10^-34 Js
c = speed of light = 2.999x10^8 m/s
λ = wavelength of light = 670.8x10^-9 m
 
E = (6.626x10^-34 Js) x (2.999x10^8 m/s) x (1 / 670.8x10^-9 m)
E = 2.962x10^-19 J

3x10^8 / (670.8 * 10^-9) =4.47x10^14 Hz
 
4.47x10^14 Hz multiplied by plank's constant = 2.9634x10^-19

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