Question

For emission line of atomic hydrogen from $n_i=8$ to $n_f$- the plot of wave number $\left(\overline{v}\right)$ against $\left(\frac{1}{n^2}\right)$ will be: (The Rydberg constnt, $R_H$ is in wave number unit).

• A. linear with slope $-R_H$
• B. linear with intercept $-R_H$
• C. non linear
• D. linear with slope $R_H$

Answer 1

The correct option is D linear with slope $R_H$

$\frac{1}{\lambda }=\overline{v}=R_{H^{Z^2}}(\frac{1}{{\eta }_1^2}-\frac{1}{{\eta }_2^2})$

$\overline{v}=R_H\times (\frac{1}{{\eta }_1^2}-\frac{1}{8^2})$

$\overline{v}{R}_H\times \frac{1}{{\eta }^2}-\frac{R_H}{8_2}$

$\overline{v}{R}_H\times \frac{1}{{\eta }^2}-\frac{R_H}{64}$

$m=R_H$

Linear with slope $R_H$