Part a what width sit will produce a central maximum that is 2.50 em wide on a screen 2 20 m from the slit? express your answer to three significant figures green light (a 558 nm) strikes a single slit at normal incidence

9.82×10⁻² m

Explanation:

w = Width of central maximum = 2.5 cm = 0.025 m

D = Distance between screen and slit = 2.2 m

λ = Wavelength of green light = 558 nm = 558×10⁻⁶ m

a = Width of slit

∴ Width of slit is 9.82×10⁻² m

no simpler subs form complex ones. synthesise = make

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .