BS $2.$ Six$-$Line Spectrum $(5$ pts$)$

You shine light of a particular wavelength, $,$ on ordinary hydrogen gas at room temperature. The

spectrum of light that is emitted by the gas consists of exactly six discrete lines.

a$.$ What is the wavelength $$ of the incident light? Explain why this must lead to emitted light with

exactly six lines, no more, no less.

b$.$ For each of the six emitted lines, specify the wavelength $($in nm$),$ energy $($in eV$),$ the named series

to which it belongs $($e$.$g$.,$ Balmer, Paschen, etc.$),$ and the named region of the electromagnetic

spectrum to which it belongs $($e$.$g$.,$ infrared, x$-$ray, etc.$).$