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The wave pattern of an electron in a Bohr orbit of hydrogen shows exactly 2 complete standing waves around the orbit. The potential energy of the electron in this orbit is expressed as (-13.6 * 2) / x eV. What is the value of x?

1. 1
2. 2
3. 3
4. 4

Correct answer: 4

Solution

Two complete waves means n = 2. Potential energy = 2 * (-13.6/n²) = -27.2/4 = (-13.6*2)/4 eV, so x = 4.

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