A $600$ nm light source illuminates a single $21$m slit in a barrier which is $2\mathrm{.}0$ m from a screen.

Part $($a$)$ Find the ratio of the intensity at angular position $0\mathrm{.}5$ to the intensity at the center of the diffraction pattern.

Part $($b$)$

Find the ratio of the intensity at angular position $1\mathrm{.}01\mathrm{.}0$ to the intensity at the center of the diffraction pattern.

Part $($c$)$

Find the ratio of the intensity at angular position $1\mathrm{.}51\mathrm{.}5$ to the intensity at the center of the diffraction pattern.

Part $($d$)$

Find the ratio of the intensity at angular position $3\mathrm{.}03\mathrm{.}0$ to the intensity at the center of the diffraction pattern.

Part $($e$)$

Find the ratio of the intensity at angular position $10.10.$ to the intensity at the center of the diffraction pattern.