Question

For emission line of atomic hydrogen from $n_i=8$ to $n_f$ = the plot of wave number $(\bar{v})$ against $(\frac{1}{n^2})$ will be (The Rydberg constant, $R_H$ 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

Answer: (D)

$\frac{1}{\lambda }=\bar{V}=R_H{Z}^2\left(\frac{1}{{\eta }_1^2}-\frac{1}{{\eta }_2^2}\right)$
$\bar{V}=R_H\times \left(\frac{1}{{\eta }_1^2}-\frac{1}{8^2}\right)$
$\bar{V}=R_H\times \frac{1}{{\eta }^2}-\frac{R_H}{8^2}$
$\bar{V}=R_H\times \frac{1}{{\eta }^2}-\frac{R_H}{64}$
$m=R_H$
Linear with slope $R_H$