Question

Wave no. of a spectral line for a given transition is $xc{m}^{-1}$ for $H{e}^{+}$ then its value for $B{e}^{3+}$ for the same transition is:

• A. $4xc{m}^{-1}$
• B. $xc{m}^{-1}$
• C. $\frac{x}{4}c{m}^{-1}$
• D. $2xc{m}^{-1}$

Answer 1

The correct option is A $4xc{m}^{-1}$

Wave number is directly proportional to $z^2$

So, wave number ratio for $H{e}^{+}$ and $B{e}^{+3}$ is

$\frac{H{e}^{+}}{B{e}^{+3}}=\frac{2^2}{4^2}$

$\frac{xc{m}^{-1}}{B{e}^{+3}}=\frac{1}{4}$

So, value for $B{e}^{+3}$ is $4xc{m}^{-1}$