Wavelength in the visible spectrum most strongly transmitted

In summary, the question asks for the wavelength in the visible spectrum that is most strongly transmitted through a camera lens coated with a 87.0 nm thick layer of magnesium fluoride. The attempt at a solution uses the equation λ = 2nt/m and results in an answer of 297 nm, but this is not correct due to a mistake in considering the refractive indices at each surface.
  • #1
xamy
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Homework Statement


A camera lens (n = 1.29) is coated with a thin film of magnesium fluoride (n = 1.71) of thickness 87.0 nm. What wavelength in the visible spectrum is most strongly transmitted through the film?

Homework Equations


λ = 2nt/m

The Attempt at a Solution


λ = 2(1.71)(87E-9m)/(1) = 297 nm

Answer is not correct. Please point out the mistake. Thanks
 
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  • #2
xamy said:

Homework Statement


A camera lens (n = 1.29) is coated with a thin film of magnesium fluoride (n = 1.71) of thickness 87.0 nm. What wavelength in the visible spectrum is most strongly transmitted through the film?

Homework Equations


λ = 2nt/m

The Attempt at a Solution


λ = 2(1.71)(87E-9m)/(1) = 297 nm

Answer is not correct. Please point out the mistake. Thanks
Look at how the refractive indices are related at each surface.
 

What is the visible spectrum?

The visible spectrum is the portion of the electromagnetic spectrum that is visible to the human eye. It ranges from approximately 380 to 740 nanometers in wavelength and includes all the colors of the rainbow.

What is the most strongly transmitted wavelength in the visible spectrum?

The most strongly transmitted wavelength in the visible spectrum varies depending on the medium through which the light is passing. However, on average, green light with a wavelength of around 550 nanometers tends to be the most strongly transmitted.

Why is green light most strongly transmitted?

Green light is most strongly transmitted because it falls within the peak sensitivity range of the human eye. Our eyes have specialized cells called cones that are responsible for color vision. These cones are most sensitive to green light, allowing us to see it more clearly than other colors.

Can the most strongly transmitted wavelength in the visible spectrum be changed?

Yes, the most strongly transmitted wavelength in the visible spectrum can be changed by altering the medium through which the light is passing. For example, water and air have different refractive indices, which can affect how strongly different wavelengths are transmitted.

How is the most strongly transmitted wavelength in the visible spectrum measured?

The most strongly transmitted wavelength in the visible spectrum is measured using a spectrophotometer. This device measures the amount of light that is transmitted through a sample at different wavelengths, allowing us to determine which wavelength is most strongly transmitted.

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