Question: In class we saw that the wavelength of the electron fit perfectly into

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In class we saw that the wavelength of the electron fit perfectly into the circumference of the first Bohr orbit of the hydrogen atom. The circumference equaled exactly one wavelength. For any orbit, all that is required is that there be an integer number of wavelengths in the circumference in order for the electron to exist as a "standing wave". Any integer number would work. The puzzle is to explain why the second orbit has two, the third has 3, etc. Answer this question with words, without making the calculations. Do this by noting that a) the circumference increases linearly with r, that is Circ 2TTr, while b) the orbital velocity decreases as required by F mac That is ke2/r2- mV /r Explain in words why the number of wavelengths increases by one as the orbital radius increases.

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A

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