Question

Which condition must a particle wave satisfy in the \[n\]-th circular orbit?

Options

• \[2\pi r_n=nh,\quad n=1,2,3,\ldots\]

• \[r_n=n\lambda,\quad n=1,2,3,\ldots\]

• \[2\pi r_n=n\lambda,\quad n=1,2,3,\ldots\]

• \[2\pi r_n=\frac{\lambda}{n},\quad n=1,2,3,\ldots\]

Answer 1

The orbit’s circumference must contain an integral number of de Broglie wavelengths. Thus, \[2\pi r_n=n\lambda\] for \[n=1,2,3,\ldots\].