$8.$ A single slit is used to create an interference pattern on a screen using light. Consider the statements that follow with respect to the pattern generated:

I. A longer wavelength of light generates a wider central maximum.

II$.$ When using white light, the outer fringes are coloured.

III. A narrower slit generates a wider central maximum.

Which of the above statements is$/$are correct?

a$.$ I only

d$.$ I, II$,$ and III

b$.$ I and II only

e$.$ none

c$.$ I and III only