The expression for the angular position of the first-order minimum in terms of θ 1 if the width of the slit is halved.

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Answer 1

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Chapter 35, Problem 70PQ

(a)

To determine

The expression for the angular position of the first-order minimum in terms of θ1 if the width of the slit is halved.

(b)

To determine

If the small-angle approximation is valid in this case, the answer will change like.

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1. a. If a piece of glass (n = 1.5) is coated with a transparent plastic (n = 2.0), will there be a phase shift in either of the beams reflecting off the interfaces (air/plastic and plastic/glass)? How can you tell, without doing the experiment, whether or not there will be a phase shift in either beam? Be specific about what rays are reflecting off what materials. b. So what thickness or thicknesses give the maximum reflection? What thickness or thicknesses (hint: it's thicknesses) give the minimum reflection? Assume that a light of wavelength 500. nm is used, and you may leave the answer in nm. Yes, this is a choice between equations 35.17 and 35.18, but your answer to part a should be helpful in deciding which set.

Ascientist notices that an oil slick floating on water when viewed from above has many different colors reflecting off the surface, making tlook 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 thíckness t of the ol slick at that spot? Express your answer in nanometers to three significant figures. > View Available Hint(s) Submit Part B Suppose the oll had an index of retraction of 1.50. What would the minimum thickness t be now? Express your answer in nanometers to three significant figures. > View Available Hint(s) nm

Problem 2 For wavelengths in the visible spectrum, the index of refraction of a cer- tain type of crown glass can be approximated by the relation n(1) = 1.5255 + (4825 nm²)/a². b. Find the phase velocity, in this glass, for a pulse with frequency com- ponents centered around 500 nm. c. Find the group velocity, in this glass, for a pulse with frequency com- ponents centered around 500 nm.

Answer 2

Question

Chapter 35, Problem 70PQ

(a)

To determine

The expression for the angular position of the first-order minimum in terms of θ1 if the width of the slit is halved.

(b)

To determine

If the small-angle approximation is valid in this case, the answer will change like.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 35, Problem 70PQ

(a)

To determine

The expression for the angular position of the first-order minimum in terms of θ1 if the width of the slit is halved.

(b)

To determine

If the small-angle approximation is valid in this case, the answer will change like.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 35, Problem 70PQ

(a)

To determine

The expression for the angular position of the first-order minimum in terms of θ1 if the width of the slit is halved.

(b)

To determine

If the small-angle approximation is valid in this case, the answer will change like.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 35, Problem 70PQ

(a)

To determine

The expression for the angular position of the first-order minimum in terms of θ1 if the width of the slit is halved.

(b)

To determine

If the small-angle approximation is valid in this case, the answer will change like.

Answer 6

Chapter 35, Problem 70PQ

(a)

To determine

The expression for the angular position of the first-order minimum in terms of θ1 if the width of the slit is halved.

Answer 7

Chapter 35, Problem 70PQ

(a)

To determine

The expression for the angular position of the first-order minimum in terms of θ1 if the width of the slit is halved.

Answer 8

(b)

To determine

If the small-angle approximation is valid in this case, the answer will change like.

Answer 9

(b)

To determine

If the small-angle approximation is valid in this case, the answer will change like.

Answer 10

Expert Solution & Answer

Answer 11

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Answer 12

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Answer 13

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The expression for the angular position of the first-order minimum in terms of θ 1 if the width of the slit is halved.

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The expression for the angular position of the first-order minimum in terms of θ1 if the width of the slit is halved.

If the small-angle approximation is valid in this case, the answer will change like.

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