Question

A $12.5eV$ electron beam is used to excite a gaseous hydrogen atom at room temperature. Determine the wavelengths and the corresponding series of the lines emitted.

Answer 1

The wavelength of emitted series is $99.2nm$ and this belongs to he luman series of Bohr's Hydrogen spectrum$.$

The wavelength of series emitted during transition is given by the formula$.$

$hc/E=1$

$E=12.5eV$

$hc=1240eV$

Therefore wavelength of emitted series is$:$

$I=1240/12.5=99.2nm$

This belongs to the Lyman series of Bohr's Hydrogen spectrum$.$