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.)

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