Answer
Violet
Work Step by Step
Use the Rydberg Formula:
$\frac{1}{\lambda}=R_H\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right)$,
where
$R_H=1.097\times 10^7\text{ m}^{-1}$
$n_1=2$, $n_2=6$
$\frac{1}{\lambda}=1.097\times 10^7\left(\frac{1}{2^2}-\frac{1}{6^2}\right)$
$\lambda=\frac{1}{2.437\times10^6}=4.105\times10^{-7}\text{ m}=410.5\text{ nm}$
A wavelength of $410.5$ nm falls in the violet region of the visible spectrum.
