TABLE 29.2 Radii, speeds, and energies for the first four states of the Bohr hydrogen atom r, (nm) v, (m/s) E, (eV) 1 0.053 2.18 x 106 -13.60 0.212 1.09 x 106 -3.40 3 0.476 0.73 x 106 -1.51 4 0.847 0.55 x 106 -0.85 2.

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Chapter1: Units, Trigonometry. And Vectors
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a. Calculate the de Broglie wavelength of the electron in the n = 1, 2, and 3 states of the hydrogen atom. Use the information as shown.
b. Show numerically that the circumference of the orbit for each of these stationary states is exactly equal to n de Broglie wavelengths.
c. Sketch the de Broglie standing wave for the n = 3 orbit.

TABLE 29.2 Radii, speeds, and energies
for the first four states of the Bohr
hydrogen atom
r, (nm)
v, (m/s)
E, (eV)
1
0.053
2.18 x 106
-13.60
0.212
1.09 x 106
-3.40
3
0.476
0.73 x 106
-1.51
4
0.847
0.55 x 106
-0.85
2.
Transcribed Image Text:TABLE 29.2 Radii, speeds, and energies for the first four states of the Bohr hydrogen atom r, (nm) v, (m/s) E, (eV) 1 0.053 2.18 x 106 -13.60 0.212 1.09 x 106 -3.40 3 0.476 0.73 x 106 -1.51 4 0.847 0.55 x 106 -0.85 2.
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