1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
amid [387]
3 years ago
7

A scientist notices that an oil slick floating on water when viewed from above has many different colors reflecting off the surf

ace, 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 nmnm (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 ttt of the oil slick at that spot?
b. Suppose the oil had an index of refraction of 1.50. What would the minimum thickness be now?
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 of the light in water that is transmitted most easily to the diver?
Physics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

(a) 313nm

(b) 250nm

(c) 301nm

Explanation:

This problem involves the concept of thin-film interference. The scientist observes constructive interference. In this case m = 1.

(a) To find the thickness of the oil at that spot we need to first calculate the wavelength in the oil.

       λ = λo/n = 750/ 1.20 = 625nm

λ = wavelength in the material of interest into which light is entering (the oil)

λo = wavelength in the material from which light is coming in or entering.

n = refractive index of the material into which the light is entering.

Light travels from air into the oil. So the refractive index used above is that of the oil and not air.

The formula relating the thickness t to the wavelength is 2t = mλ

m = 1 so,

    2t = λ = 625nm

     t = 625/2 = 313nm

(b) Supposing the refractive index of the water is now n = 1.50

The wavelength in the oil λ = 750/1.50 = 500nm

 The thickness t = λ/2 = 500/2 = 250nm

(c) If the oil has a thickness of 200nm then the wavelength λ = 2t = 2 ×200nm = 400nm

The wavelength in the oil is 400nm. In order to find the wavelength in water we set this wavelength to λo = 400nm. So the wavelength in water seen by the diver is given by the formula

       λ = λo/n

n for water is 1.33

      λ = 400/1.33 = 300.8nm ≈ 301nm.

You might be interested in
Question:The greater the
Romashka-Z-Leto [24]

Answer:

True

Explanation:

when the object is larger , the inertia of the object is larger so its tendency to change its state of motion is reduced is reduced.

5 0
3 years ago
Can you give me an example of how sound passes through a solid?please help
nydimaria [60]
When a layer of cold air close to the ground is covered by a layer of warmer air, sound waves traveling upward may be bent, or refracted, by the difference in temperature and redirected toward the ground.
5 0
2 years ago
Read 2 more answers
Why are stars considered to be the building blocks of the universe?
eduard
The answer for that would be C
4 0
3 years ago
Read 2 more answers
If a 100-N net force acts on a 50-kg car, what will the acceleration of the car be?
Tema [17]
Newton's 2nd law of motion: 

                             Force = (mass) x (acceleration)

Divide each side by (mass):     

                             Acceleration = (force) / (mass)

                                               =  (100 N) / (50 kg)

                                               =  2 m/s²  


5 0
3 years ago
In your own words, explain what a field is in science. Use specific examples to support your explanation.
tresset_1 [31]

Answer:

Field, In physics, a region in which each point is affected by a force.

Explanation:

4 0
3 years ago
Other questions:
  • An astronomy student, for her PhD, really needs to estimate the age of a cluster of stars. Which of the following would be part
    14·1 answer
  • As the frequency of the wave increases, the speed of the wave increases if the wavelength stays the same. Please select the best
    12·1 answer
  • What is the main element that stars are made of
    14·2 answers
  • The floor leader of the major party that holds fewer seats in a house of congress is called _____. 1.the speaker of the house 2.
    9·2 answers
  • A sailor strikes the side of his ship just below the surface of the sea. he hears the echo of the wave reflected from the ocean
    6·1 answer
  • How do i calculate acceleration? pls help! thanks :)
    15·1 answer
  • Which diagram represents magnetic field lines between two north magnetic poles?
    9·2 answers
  • What is a crash cymbal
    12·1 answer
  • A hurricane that has winds between 74 and 95 miles per hour and causes some damage would be classified as a Category _______ sto
    7·1 answer
  • A shopping mall is putting up lights for the holidays. When they plug the holiday lights in they do not light up.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!