A scientist notices that an oil slick floating on water whenviewed from above has many different colors reflecting offthe surface, making it look rainbow-like (an effect known asiridescence). She aims a spectrometer at a particular spotand measures the wavelength to be 750 nm (in air). Theindex of refraction of water is 1.33.Part AThe index of refraction of the oil is 1.20. What is the minimum thickness t of the oil slick at that spot?Express your answer in nanometers to three significant figures.► View Available Hint(s)t = 313 nmSubmit✓ CorrectPart BPrevious AnswersSuppose the oil had an index of refraction of 1.50. What would the minimum thickness t be now?Express your answer in nanometers to three significant figures.► View Available Hint(s)t = 125 nmSubmitPrevious Answers✓ Correct Part CNow assume that the oil had a thickness of 200 nm and an index of refraction of 1.5. A diverswimming underneath the oil slick is looking at the same spot as the scientist with thespectromenter. What is the longest wavelength Awater of the light in water that is transmittedmost easily to the diver?Express your answer in nanometers to three significant figures.► View Available Hint(s)AwaterSubmitVE ΑΣΦRequest AnswerĆ?nm

Part C: The wavelength of light in the air can be calculated as, nairλair = noilλoil λoil = nairλair…

Now assume that the oil had a thickness of 200 nm and an index of refraction of 1.5. A diver swimming underneath the oil slick is looking at the same spot as the scientist with the spectromenter. What is the longest wavelength Awater of the light in water that is transmitted most easily to the diver? Express your answer in nanometers to three significant figures. ► View Available Hint(s) VO VE ΑΣΦ ?

Now assume that the oil had a thickness of 200 nm and an index of refraction of 1.5. A diver swimming underneath the oil slick is looking at the same spot as the scientist with the spectromenter. What is the longest wavelength Awater of the light in water that is transmitted most easily to the diver? Express your answer in nanometers to three significant figures. ► View Available Hint(s) VO VE ΑΣΦ ?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 47P: To save money on making military aircraft invisible to radar, an inventor decides to coat them with...

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Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

A scientist notices that an oil slick floating on water when
viewed from above has many different colors reflecting off
the surface, making it look rainbow-like (an effect known as
iridescence). She aims a spectrometer at a particular spot
and measures the wavelength to be 750 nm (in air). The
index of refraction of water is 1.33.
Part A
The index of refraction of the oil is 1.20. What is the minimum thickness t of the oil slick at that spot?
Express your answer in nanometers to three significant figures.
► View Available Hint(s)
t = 313 nm
Submit
✓ Correct
Part B
Previous Answers
Suppose the oil had an index of refraction of 1.50. What would the minimum thickness t be now?
Express your answer in nanometers to three significant figures.
► View Available Hint(s)
t = 125 nm
Submit
Previous Answers
✓ Correct

Part C
Now assume that the oil had a thickness of 200 nm and an index of refraction of 1.5. A diver
swimming underneath the oil slick is looking at the same spot as the scientist with the
spectromenter. What is the longest wavelength Awater of the light in water that is transmitted
most easily to the diver?
Express your answer in nanometers to three significant figures.
► View Available Hint(s)
Awater
Submit
VE ΑΣΦ
Request Answer
Ć
?
nm

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An X-ray scattering experiment is performed on a crystal whose atoms form planes separated by 0.440 nm. Using an X-ray source of wavelength 0.548 nm, what is the angle (with respect to the planes in question) at which the experimenter needs to illuminate the crystal in order to observe a first-order maximum?
The movable mirror of a Michelson interferometer is attached to one end of a thin metal rod of length 23.3 mm. The other end of the rod is anchored so it does not move. As the temperature of the rod changes from 15°C to 25 C , a change of 14 fringes is observed. The light source is a He Ne laser, =632.8 nm . What is the change in length of the metal bar, and what is its thermal expansion coefficient?
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