Question

When an electron in a hydrogen atom jumps from an orbit with level $n_2=3$ to another orbit with level $n_1=2$, then the emitted radiation has a wavelength given by

• A. $\frac{30}{21R}$
• B. $\frac{22R}{31}$
• C. $\frac{36}{5R}$
• D. None of these

Answer 1

Answer: (C)

$\frac{36}{5R}$

Wavelength of emitted radiation is given by
$\frac{1}{\lambda }=R(\frac{1}{n_1^2}-\frac{1}{n_2^2})$
where, R is Rydberg's constant
$\therefore \frac{1}{\lambda }=R(\frac{1}{2^2}-\frac{1}{3^2})=\frac{5R}{36}$
$\Rightarrow \lambda =\frac{36}{5R}$