A silicon monoxide (n = 1.45)film of 270 nm thickness is used to coat a glass camera lens (n = 1.56).What wavelength of light in the visible region (390 to 710 nm)will be most efficiently transmitted by this system? (1 nm = 10^-9 m)

Question

Quizplus · Accepted Answer

To find the wavelength of light that will be most efficiently transmitted, we need to use the equation for thin film interference:

2nt = mλ

where n is the refractive index of the film, t is the thickness of the film, m is an integer representing the order of the interference, and λ is the wavelength of light.

We want to find the wavelength of light that will have constructive interference (i.e. will be most efficiently transmitted), so we need to find the value of λ that satisfies the equation above for m = 1.

Plugging in the given values, we get:

2(1.45)(270 nm) = (1)(λ)

Solving for λ gives:

λ = 522 nm

Therefore, the wavelength of light in the visible region that will be most efficiently transmitted by this system is 522 nm, so the answer is C).

A Silicon Monoxide (N = 1