Question

An oil slick of thickness 324 nm and index of refraction (noil = 1.50) forms on...

An oil slick of thickness 324 nm and index of refraction (noil = 1.50) forms on the surface of a still pond (nwater = 1.33). When it is viewed from above, what is the wavelength of visible light that is A) mostly strongly reflected and B) most strongly transmitted? Show all equations and calculations.

Homework Answers

Answer #1

The visible light that is strongly reflected interferes constructively with the light that is reflected from oil film

The equation for constructive interference of reflected light is

m = integer

where n = 1.5 is the refractive index of oil and d = 324 nm is the thickness of the oil film

Therefore for m =1, the wavelength will be in visible spectrum

The wavelength mostly strongly reflected is 648 nm

The visible light that is strongly transmitted interferes destructively with the light that is reflected from oil film

The equation for the descructive interference of reflected light is

For m = 2, the wavelength will be in visible spectrum

The wavelength mostly strongly transmitted is 486 nm

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
8) Calculate the minimum thickness of an oil slick on water that appears green when illuminated...
8) Calculate the minimum thickness of an oil slick on water that appears green when illuminated by white light perpendicular to its surface. Take the strongly reflected green wavelength to be 540 nm. Take the index of refraction of oil to be 1.20 and the index of refraction of water to be n=1.33.
A scientist notices that an oil slick floating on water when viewed from above has many...
A scientist notices that an oil slick floating on water when viewed from above has many different rainbow colors reflecting off the surface. 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? Part B Suppose the oil had an...
A scientist notices that an oil slick floating on water when viewed from above has many...
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. a) The index of refraction of the oil is 1.20. What is the minimum thickness (t) of the oil slick at that spot?...
A thin layer of a material with an index of refraction 1.50 is placed on top...
A thin layer of a material with an index of refraction 1.50 is placed on top of a translucent slab with an index of refraction of 1.80. Air surrounds both. When a source of white light is shown on the surface, the top layer greatly reduces the intensity of reflected light having a 630-nm wavelength. (a) Find the top layer’s minimum thickness. (b) Does it reduce other reflected wavelengths in the visible spectrum? Which ones? (c) If 25.0nm were shaved...
The thickness of a layer of benzene ( n = 1.50 ) floating on water by...
The thickness of a layer of benzene ( n = 1.50 ) floating on water by shining monochromatic light onto the film and varying the wavelength of the light. The wavelength of 575 nm is reflected the most strongly from the film. What is the minimum thickness of the film? What wavelength of light is reflected the least at this thickness? Is this wavelength in the visible spectrum? step by step please include all derived equations.
A scientist notices that an oil slick floating on water when viewed from above has many...
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 1.35. A. The index of refraction of the oil is 1.22. What is the minimum thickness t of the oil slick at that spot?...
A non-reflective coating that has a thickness of 153 nm (n = 1.45) is deposited on...
A non-reflective coating that has a thickness of 153 nm (n = 1.45) is deposited on top of a substrate of glass (n = 1.50). What wavelength of visible light is most strongly transmitted if it is illuminated perpendicular to its surface?
A soap bubble (n 5 1.33) having a wall thickness of 120 nm is floating in...
A soap bubble (n 5 1.33) having a wall thickness of 120 nm is floating in air. (a) What is the wavelength of the visible light that is most strongly reflected? (b) Explain how a bubble of different thickness could also strongly reflect light of this same wavelength. (c) Find the two smallest film thicknesses larger than the one given that can produce strongly reflected light of this same wavelength.
A transparent oil with index of refraction n = 1.24 spills on the surface of certain...
A transparent oil with index of refraction n = 1.24 spills on the surface of certain crystal (with unknown index of refraction) with a thickness of 0.423 μm. Normally incident red light (wavelength 700 nm in air) produces a maximum of reflection. (a) What can you tell about the index of diffraction of the crystal? (b) Which wavelength in the visible spectrum (400 nm - 700 nm) would also give constructive interference? And destructive? (c) Which index of refraction should...
A certain grade of crude oil hasan index of refraction of 1.15. A ship accidentally spills...
A certain grade of crude oil hasan index of refraction of 1.15. A ship accidentally spills 2.00 m3 of this oil into the ocean, and the oil spreads into a thin, uniform slick. If the film produces a first-order maximum of light of wavelength 550 nm normally incident on it, how much surface area of the ocean does the oil slick cover? Assume the index of refraction of the ocean water is 1.34.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT