In accordance with Bohr's model, what is the order of magnitude of the quantum number $n$ that chara

Question

In accordance with Bohr's model, what is the order of magnitude of the quantum number $n$ that characterizes the Earth's revolution around the Sun? (Radius $\approx 1.5 	imes 10^{11}$ m, orbital speed $\approx 3 	imes 10^4$ m/s, mass $\approx 6.0 	imes 10^{24}$ kg)

Professor PC Thomas Classes · Answer

Using $L = mvr = n \frac{h}{2\pi}$, we get $n = \frac{2\pi mvr}{h} \approx \frac{2 \pi 	imes 6 	imes 10^{24} 	imes 3 	imes 10^4 	imes 1.5 	imes 10^{11}}{6.63 	imes 10^{-34}} \approx 2.5 	imes 10^{74}$.