Using Monochromatic Light Of $410 \mathrm {~nm}$ Wavelength, a Single Thin Slit Forms a Diffraction Pattern, with Thin

Multiple Choice

Using monochromatic light of $410 \mathrm {~nm}$ wavelength, a single thin slit forms a diffraction pattern, with the first minimum at an angle of $40.0 ^ { \circ }$ from central maximum. The same slit, when illuminated by a new monochromatic light source, produces a diffraction pattern with the second minimum at a $60.0 ^ { \circ }$ angle from the central maximum. What is the wavelength of this new light?

A) $342 \mathrm {~nm}$
B) $326 \mathrm {~nm}$
C) $276 \mathrm {~nm}$
D) $309 \mathrm {~nm}$
E) $293 \mathrm {~nm}$