Question

If an electron in hydrogen atom jumps from an orbit of level $n=3$ to an orbit of level $n=2$, emitted radiation has a frequency_______.

(R=Rydberg's constant, C=velocity of light).

• A. $\frac{3RC}{27}$
• B. $\frac{RC}{25}$
• C. $\frac{8RC}{9}$
• D. $\frac{5RC}{36}$

Answer 1

Answer: (D)

$\frac{5RC}{36}$

For electronic transitions in Hydrogen, we have, according to the following equation:

$\Rightarrow \frac{1}{\lambda }=R(\frac{1}{n_f^2}-\frac{1}{n_i^2})$

$\Rightarrow \nu =\frac{C}{\lambda }=RC(\frac{1}{n_f^2}-\frac{1}{n_i^2})$

Substituting the values, we have:

$\nu =RC(\frac{1}{4}-\frac{1}{9})=\frac{5RC}{36}$