Consider an electron revolving in the $3^{ ext{rd}}$ orbit of a hydrogen atom in the Bohr model. Th

Question

Consider an electron revolving in the $3^{	ext{rd}}$ orbit of a hydrogen atom in the Bohr model. The ratio of the circumference of this orbit to the de Broglie wavelength $\lambda$ of the electron is

Professor PC Thomas Classes · Answer

(b) : According to de Broglie's explanation of Bohr's second postulate, the circumference of a stationary orbit must be an integral multiple of the electron's de Broglie wavelength: $2\pi r = n\lambda$. For the $3^{	ext{rd}}$ orbit, $n = 3$. Therefore, the ratio of the circumference ($2\pi r$) to the wavelength ($\lambda$) is exactly $n$, which is 3.