Question

A hydrogen atom in the ground state is excited by radiations of wavelength $975A$${}^0$. The shortest wavelength will be

• A. $5887$$A^0$
• B. $6568$$A^0$
• C. $3435$$A^0$
• D. $973$$A^0$

Answer 1

The correct option is D $973$$A^0$

Shortest wavelength mean maximum energy gap
i.e. gap between $n=1$ and $n=4$
$\frac{1}{\lambda }=1.097\times {10}^7\times 1^2[\frac{1}{1^2}-\frac{1}{4^2}]$
$\lambda =9.723\times {10}^{-8}m\approx 973A^0$