Chapter 4, Problem 55AP

The energies of macroscopic objects, as well as those of microscopic objects, are quantized, but the effects of the quantization are not seen because the difference in energy between adjacent states is so small. Apply Bohr’s quantization of angular momentum to the revolution of Earth $\left(\text{mass 6}.0\times \text{1}{0}^{\text{24}}\text{kg}\right)$ , which moves with a speed of $\text{3}.0\times \text{1}0{\text{4 m s}}^{-\text{1}}$ in a circular orbit $\left(\text{radius 1}.\text{5}\times \text{1}{0}^{\text{11}}\text{m}\right)$ about the sun. The sun can be treated as fixed. Calculate the value of the quantum number n for the present state of the Earth−sun system. What would be the effect of an increase in n by 1?