If$,$ in

$111$ $=$ Ry n$2$ n$2$

$12$

$,$

you set n$1=1$ and take n$2$ greater than $1,$ you generate what is known as the Lyman series.

Find the wavelength of the first mem$-$ ber of this series. The value of h $$ is $1\mathrm{.}054571034$ J $$ s ; the Rydberg constant for hydrogen is $1\mathrm{.}09735107$ m$1$ ; the Bohr radius is $5\mathrm{.}291771011$ m ; and the ground state energy for hydrogen is $13\mathrm{.}6057$ eV $.$

Answer in units of nm$.$