Monochromatic light of variable wavelength is incident normally on a thin sheet of plastic film in air. The reflected light is a maximum only for A = 491.4 nm and A = 688.0 nm in the visible spectrum. What is the thickness of the film (n = 1.58)? [Hint: Assume successive values of m.]
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![Monochromatic light of variable wavelength is incident
normally on a thin sheet of plastic film in air. The reflected
light is a maximum only for A = 491.4 nm and A = 688.0 nm
in the visible spectrum. What is the thickness of the film
(n = 1.58)? [Hint: Assume successive values of m.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41899015-a897-4662-a887-ed06d298b377%2F6ac70551-3255-4a49-8932-e41bf8173688%2Fzecod8_processed.png&w=3840&q=75)
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- A thin film of oil with an index of refraction of 1.55 rests on top of water (index of refraction of 1.33) in a parking lot. You notice that there is no orange light (wavelength 600 nm) reflected from the patch of oil. What is the minimum thickness of the film of oil? (in nm) (a) 194 (b) 290 (c) 113 (d) 97(e) 226Find the distance of the slit separation given the following information: L = 1.87m,λ = 635.8 nm. Calculate the slit separation for m=0, 1,2,3 for the bright and dark fringes.The figure shows four different cases where light of wavelength A reflects from both the top and the bottom of a thin film of thickness d. The indices of refraction of the film and the media above and below it are indicated in the figure(Figure 1). Figure 1.6 1 1.5 1.4 1.4 1.5 1.6 1.5 1.6 1.4 2 3 1 of 1 4 1.4 1.6 1.5 Y Part A For which of the cases will the two reflected rays undergo constructive interference if d=X/4? constructive interference occurs in case 2 and case 3 O constructive interference occurs in case 2 and case 4 constructive interference occurs in case 3 and case 4 constructive interference occurs in case 1 and case 2 Submit Part B Request Answer For which of the cases will the two reflected rays undergo constructive interference if d=λ/2? O constructive interference occurs in case 2 and case 3 O constructive interference occurs in case 2 and case 4 O constructive interference occurs in case 3 and case 4 constructive interference occurs in case 1 and case 2
- Monochromatic light (wavelength = 455 nm) is incident perpendicularly on a single slit (width = 0.56 mm). A screen is placed parallel to the slit plane, and on it the distance between the two minima on either side of the central maximum is 2.1 mm. (a) What is the distance from the slit to the screen? (Hint: The angle to either minimum is small enough that sin ≈ tan 9.) (b) What is the distance on the screen between the first minimum and the third minimum on the same side of the central maximum? (a) Number 120 (b) Number i 1.8 Units Units cm mmair 1. n = 1 [a] The figure shows a soap film of thickness dį in air. Light impinges on the film with an angle of incidence 01 and is reflected and refracted at the interfaces. Rays 1 and 2 represents reflected light, while rays 3 and 4 represent light that has been transmitted into the glass. soap \[c] n, = 1.33 |d [b] air n= 1 3 4 The bracketed letters (a], [b], and [c] indicate reflections at the air-soap, and soap-air interfaces. For which of these reflections does a phase change of n occur? Check all that apply. [a] [b] O (c)Three discrete spectral lines occur at angles of 10.5°, 13.6°, and 14.7°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3770 slits/cm, what are the wavelengths of the light? ?1 = nm (10.5°) ?2 = nm (13.6°) ?3 = nm (14.7°) (b) At what angles are these lines found in the second-order spectra? ? = ° (?1) ? = ° (?2) ? = ° (?3)
- If a soap bubble is 120 nm thick, what wavelength is most strongly reflected at the center of the outer surface when illuminated normally by white light? Assume that the index refraction of air is na 1 (the actual value is 1.0003) and the index refraction of soap is ns = 1.35.A physicist is calibrating a spectrometer that uses a diffraction grating to separate light in order of increasing wavelength (?A,?B, and ?C). He observes three distinct first-order spectral lines at the following respective angles ?m (where m denotes order). ?1 = 12.8°, ?1 = 14.2°, ?1 = 15.0° (a)If the grating has 3,760 grooves per centimeter, what wavelength (in nm) describes each of these spectral lines? at ?1 = 12.8° ?A= nm ?1 = 14.2° ?B= nm ?1 = 15.0° ?C=. nm (b) At what angle (in degrees) would each of these lines be found in the second-order spectrum? for ?A ?2= ° for ?B ?2= ° for ?C ?2= °A film of soapy water (n=1.33) on top of a plastic cutting board has a thickness of 278 nm. What is the wavelength of the most strongly reflected if it is illuminated perpendicular to its surface? Round your answer to 0 decimal places.