Structure Of Atom Question 11

Question 11 - 2024 (30 Jan Shift 2)

Number of spectral lines obtained in $\mathrm{He}^{+}$spectra, when an electron makes transition from fifth excited state to first excited state will be

Show Answer

Answer (10)

Solution

$5^{\text {th }}$ excited state $\Rightarrow \mathrm{n}_{1}=6$

$1^{\text {st }}$ excited state $\Rightarrow \mathrm{n}_{2}=2$

$\Delta \mathrm{n}=\mathrm{n}{1}-\mathrm{n}{2}=6-2=4$

Maximum number of spectral lines

$=\frac{\Delta \mathrm{n}(\Delta \mathrm{n}+1)}{2}=\frac{4(4+1)}{2}=10$