Question

The energy levels of a hypothetical one electron atom are shown in the figure above. Find the short wavelength limit of the series terminating at $n=2$

• A. $3256\mathring{A}$
• B. $2339\mathring{A}$
• C. $2509\mathring{A}$
• D. $3494\mathring{A}$

Answer 1

The correct option is B $2339\mathring{A}$

For the short-wavelength line of the series terminating at n=2n=2, a transition must take place from n=∞n=∞ state to n=2n=2 state. For this,

ΔE = 0 - (-5.30) = 5.30 eV

λ = 12400 / ΔE (eV)

= 12400 / 5.30

= 2339 Å