The antireflecting coating works best if its refractive index is the square root of the refractive index of the lens inthe eye glasses.
a) determine the refractive index of the lens that gives the best results
To determine the refractive index of the lens that gives the best results for the antireflecting coating, we can use the relationship that the refractive index of the coating should be the square root of the refractive index of the lens.
Let's represent the refractive index of the lens as n, and the refractive index of the antireflecting coating as nc.
According to the information given, we have the equation:
nc = √n
To find the refractive index of the lens, we need to square both sides of the equation:
(nc)^2 = (√n)^2
nc^2 = n
So, the refractive index of the lens that gives the best results is equal to the square of the refractive index of the antireflecting coating.
To determine the refractive index of the lens that gives the best results for the antireflecting coating, you need to know the refractive index of the coating itself.
Let's say the refractive index of the coating is "nc" and the refractive index of the lens is "nl". According to the given information, the refractive index of the coating should be the square root of the refractive index of the lens: nc = √nl.
Now, let's solve for nl:
Taking the square of both sides of the equation:
(nc)^2 = (√nl)^2
nc^2 = nl
Therefore, the refractive index of the lens that yields the best results for the antireflecting coating should be equal to the square of the refractive index of the coating: nl = (nc)^2.