Question

Consider an electron in the $n^{th}$ orbit of a hydrogen atom in the Bohr model. The circumference of the orbit can be expressed in terms of the de Brogile wavelength $n^{th}$ of the electron as :

• A. $\left(0.529\right)n\lambda$
• B. $\sqrt{n}\lambda$
• C. $\left(13.6\right)\lambda$
• D. $n\lambda$

Answer 1

The correct option is D $n\lambda$

By De-broglie hypotheseis -

$\begin{array}{c}mvr=\frac{nh}{2\pi }\\ 2\pi r=n\left(\frac{h}{mv}\right)=n\lambda \end{array}$