Question

If the electron in a hydrogen atom jumps from an orbit with level $n_1=2$ to an orbit with level $n_2=1$ the emitted radiation has a wavelength given by:

• A. $\lambda =\frac{5}{3R}$
• B. $\lambda =\frac{4}{3R}$
• C. $\lambda =\frac{R}{4}$
• D. $\lambda =\frac{3R}{4}$

Answer 1

The correct option is B $\lambda =\frac{4}{3R}$

$\frac{1}{\lambda }=R(\frac{1}{n_2^2}-\frac{1}{n_1^2})$
$=R(\frac{1}{1^2}-\frac{1}{2^2})=\frac{3R}{4}$
$\Rightarrow \lambda =\frac{4}{3R}$