Question

Scientists are testing a transparent material whose index of refraction for visible light varies with wavelength as n = 30.0 nm^(1/2) / λ^(1/2), where λ is in nm. If a 340-nm-thick coating is placed on glass (n = 1.50), for what visible wavelengths will the reflected light have maximum constructive interference? Express your answer numerically. If there is more than one wavelength, enter each wavelength separated by a comma.

Name: scientists are testing a transparent material whose index of refraction for visible light varies with wavelength as n 300 nm12 12 where is in nm if a 340 nm thick coating is placed on glass 80345
Uploaded: 2022-09-21T15:38:05-08:00
Duration: 2 min 55 s
Channel: Supratim Pal
Description: scientists are testing a transparent material whose index of refraction for visible light varies with wavelength as n 300 nm12 12 where is in nm if a 340 nm thick coating is placed on glass 80345

          Scientists are testing a transparent material whose index of refraction for visible light varies with wavelength as n = 30.0 nm^(1/2) / λ^(1/2), where λ is in nm.
If a 340-nm-thick coating is placed on glass (n = 1.50), for what visible wavelengths will the reflected light have maximum constructive interference?
Express your answer numerically. If there is more than one wavelength, enter each wavelength separated by a comma.

Added by James W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supratim Pal

09/21/2022

Step 1

0 nm^(1/2) / λ^(1/2) d = 340 nm Using the formula for path difference for constructive interference: 2n - λ/2 = 0 Substitute the values of n and d: 2(30.0 nm^(1/2) / λ^(1/2)) - λ/2 = 0 60.0 nm^(1/2) / λ^(1/2) - λ/2 = 0 Solve for λ: 60.0 - λ^(3/2) = 0 λ^(3/2) = Show more…

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Scientists are testing a transparent material whose index of refraction for visible light varies with wavelength as n = 30.0 nm^(1/2) / λ^(1/2), where λ is in nm. If a 340-nm-thick coating is placed on glass (n = 1.50), for what visible wavelengths will the reflected light have maximum constructive interference? Express your answer numerically. If there is more than one wavelength, enter each wavelength separated by a comma.