If the angular momentum of Earth in its motion around the Sun were quantized like a hydrogen electron according to Equation 4-17, what would Earth’s quantum number be? How much energy would be released in a transition to the next lowest level? Would that energy release (presumably as a gravity wave) be detectable? What would be the radius of that orbit? (The radius of Earth’s orbit is 1.50 x 10¹¹m.)

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L = mvr nh 2π nh n = 1, 2, 3, ... 4-17