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kolbaska11 [484]
3 years ago
14

Researcher measures the thickness of a layer of benzene (n = 1.50) floating on water by shining monochromatic light onto the fil

m and varying the wavelength of the light. She finds that light of wavelength 585 nm is reflected most strongly from the film.
A: What does she calculate for the minimum thickness of the film?
Physics
1 answer:
earnstyle [38]3 years ago
8 0

Answer:

Minimum thickness; t = 9.75 x 10^(-8) m

Explanation:

We are given;

Wavelength of light;λ = 585 nm = 585 x 10^(-9)m

Refractive index of benzene;n = 1.5

Now, let's calculate the wavelength of the film;

Wavelength of film;λ_film = Wavelength of light/Refractive index of benzene

Thus; λ_film = 585 x 10^(-9)/1.5

λ_film = 39 x 10^(-8) m

Now, to find the thickness, we'll use the formula;

2t = ½m(λ_film)

Where;

t is the thickness of the film

m is an integer which we will take as 1

Thus;

2t = ½ x 1 x 39 x 10^(-8)

2t = 19.5 x 10^(-8)

Divide both sides by 2 to give;

t = 9.75 x 10^(-8) m

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