Answer
329 nm
Work Step by Step
The slit separation is $d=\frac{1}{3800}cm$. Use equation 24–4 to find the wavelength.
$$d sin \theta = m \lambda $$
$$\lambda=\frac{d sin \theta}{m}$$
$$\lambda=\frac{(\frac{1}{3800}cm)(sin 22.0^{\circ})}{3}$$
$$=3.29\times10^{-5}cm$$