Question

What does the condition \[2\pi r_n=n\lambda\] require of the orbit?

Options

• Its radius contains an integral number of de Broglie wavelengths.

• Its momentum is an integral number of de Broglie wavelengths.

• Its circumference contains no de Broglie wavelengths.

• Its circumference contains an integral number of de Broglie wavelengths.

Answer 1

The circumference \[2\pi r_n\] equals \[n\] wavelengths. An integral number of wavelengths allows a resonant standing wave around the orbit.