(Solved): Light from a mercury vapor lamp is passed through a diffraction grating with 1000 slits /mm set ...

Light from a mercury vapor lamp is passed through a diffraction grating with 1000 slits $/\mathrm{mm}$ set 1.00 meters from a screen. The visible wavelengths of the prominent spectral emission lines of mercury are purple ( $405\mathrm{nm})$, blue $(436\mathrm{nm})$, blue- green $(492\mathrm{nm})$, greenish yellow $(546\mathrm{nm})$, yellow (579nm), orange $(623\mathrm{nm})$, and red $(691\mathrm{nm})$. Write only your word/numerical answer with no units with three significant digits. kreury (He) a. What color is the closest fringe to the central maximum? b. How far, $\Delta y$, in meters is the first fringe from the central maximum? c. What is the angle, $\Theta$, of the first fringe measured from the central maximum? d. What is the difference in the two angles between the first and the last fringe?