Essential College Physics

Andrew F. Rex, Richard Wolfson

Chapter 22 Wave Optics - all with Video Answers

Educators

Chapter Questions

02:14

Problem 1

Why is interference easier to observe with sound than with light?

Prabhu Ramji

Numerade Educator

01:05

An antireflection coating needs its thickness matched to a particular wavelength of light. How might you make a coating that minimizes reflection throughout the visible spectrum, $400 \mathrm{nm}$ to $700 \mathrm{nm} ?$

Narayan Hari

Numerade Educator

02:57

Problem 3

How easy would it be to coat a military airplane's wings so they don't reflect 8 -GHz radar waves?

Satpal Satpal

Numerade Educator

03:16

Problem 4

Light with wavelength $\lambda$ in a medium with refractive index $n_{1}$ strikes a thin film with index $n_{2}$ coating a material with index $n_{3}$. For each of the following cases, what's the minimum film thickness that will maximize the reflected light? (a) $n_{1}>n_{2}>n_{3}$
(c) $n_{2}>n_{3}>n_{1}$
(b) $n_{1}>n_{3}>n_{2}$;
(d) $n_{2}>n_{1}>n_{3}$

Prabhu Ramji

Numerade Educator

01:47

Problem 5

The center spot in Newton's rings, formed where the two glass surfaces are in contact, is always dark. Why?

Prabhu Ramji

Numerade Educator

03:59

Problem 6

Explain how you could do a double-slit experiment with infrared or ultraviolet light. If you used the same apparatus, how would the interference pattern for ultraviolet differ from that made with infrared?

Prabhu Ramji

Numerade Educator

03:05

Problem 7

In a double-slit experiment, how is the fringe pattern affected if you triple the slit-to-screen distance?

Satpal Satpal

Numerade Educator

02:06

Problem 8

A double-slit interference pattern stretches from one side of a screen to the other. If you increase the wavelength of the light used in the experiment, does the number of bright lines on the screen increase or decrease?

Prabhu Ramji

Numerade Educator

02:31

Problem 9

Why is it easier for AM radio signals to get around obstacles like buildings or hills?

Prabhu Ramji

Numerade Educator

01:48

Problem 10

You're observing a spectrum produced by a diffraction grating of spacing $d$. How will the appearance of the spectrum alter if you change to a grating of size (a) $0.6 d$;
(b) $1.2 d$.

Prabhu Ramji

Numerade Educator

00:57

Problem 11

What will you see if you look at white light through a diffraction grating?

Christopher Dzorkpata

Numerade Educator

01:20

Problem 12

Your eyes can barely resolve two green lights some distance away. Will you be able to resolve two lights in the same locations if their colors are (a) blue; (b) red?

Prabhu Ramji

Numerade Educator

03:46

Problem 13

Describe two tests you can perform to tell whether your sunglasses are polarized.

Prabhu Ramji

Numerade Educator

01:22

Problem 14

Rank in increasing order the amount of atmospheric scattering experienced by these colors: yellow, green, orange, violet.

Prabhu Ramji

Numerade Educator

01:34

Problem 15

Red light $(\lambda=630 \mathrm{nm})$ is incident on an oil film $(n=1.50)$ on a puddle of water. What minimum oil thickness will result in no
reflection? (a) $630 \mathrm{nm}$; (b) $420 \mathrm{nm}$; (c) $315 \mathrm{nm}$;
(d) $210 \mathrm{nm}$.

Narayan Hari

Numerade Educator

01:33

Problem 16

An antireflection coating $(n=1.42)$ of thickness $82 \mathrm{nm}$ is on a plastic eyeglass lens $(n=1.68) .$ What visible wavelength will be least reflected? (a) $466 \mathrm{nm} ;$ (b) $510 \mathrm{nm}$; (c) $551 \mathrm{nm}$;
(d) $617 \mathrm{nm}$.

Narayan Hari

Numerade Educator

01:01

Problem 17

A soap film $(n=1.33)$ with a thickness of $120 \mathrm{nm}$ forms a bubble, with air on each side. What visible wavelength is most reflected from this bubble? (a) $420 \mathrm{nm} ;$ (b) $480 \mathrm{nm} ;$ (c) $560 \mathrm{nm}$;
(d) $640 \mathrm{nm}$.

Narayan Hari

Numerade Educator

02:15

Problem 18

Light with wavelength $560 \mathrm{nm}$ is sent through a pair of slits $1.0 \mathrm{~mm}$ apart. On a screen $1.8 \mathrm{~m}$ away, bright-line fringes are separated by
(a) $0.10 \mathrm{~mm}$
(b) $0.50 \mathrm{~mm}$
(c) $1.0 \mathrm{~mm}$
(d) $1.5 \mathrm{~mm}$.

Satpal Satpal

Numerade Educator

01:50

Problem 19

Red laser light $(\lambda=632.8 \mathrm{nm})$ passes through a pair of slits, producing an interference pattern on a screen $1.80 \mathrm{~m}$ away. If the distance from the central maximum to the third-order bright fringe on the screen is $1.10 \mathrm{~cm},$ what's the slit spacing? (a) $0.20 \mathrm{~mm}$
(b) $0.31 \mathrm{~mm}$
(c) $0.42 \mathrm{~mm}$
(d) $0.53 \mathrm{~mm}$.

Narayan Hari

Numerade Educator

01:53

Problem 20

Light of unknown wavelength passes through a pair of slits $0.10 \mathrm{~mm}$ apart, producing interference on a screen $1.40 \mathrm{~m}$ away. If the distance between the central maximum and the first dark fringe of the interference pattern is $3.50 \mathrm{~mm},$ what's the wavelength?
(a) $650 \mathrm{nm}$ :
(b) $600 \mathrm{nm}$;
(c) $550 \mathrm{nm}$ :
(d) $500 \mathrm{nm}$

Narayan Hari

Numerade Educator

01:09

Problem 21

Monochromatic light with wavelength $480 \mathrm{nm}$ passes through a diffraction grating with spacing $1.4 \mu \mathrm{m} .$ The angle at which a first-order bright line is observed is (a) $10^{\circ}$; (b) $20^{\circ}$; (c) $30^{\circ}$;(d) $45^{\circ}$.

Narayan Hari

Numerade Educator

01:01

Problem 22

What's the smallest diffraction grating spacing that enables you to see the entire visible spectrum?
(a) $400 \mathrm{nm}$;
(b) $700 \mathrm{nm}$
(c) $1000 \mathrm{nm}$;
(d) $1400 \mathrm{nm}$.

Narayan Hari

Numerade Educator

01:02

Problem 23

Two polarizing sheets have their transmission axes at $25^{\circ}$ to each other. The portion of light from the first polarizer that makes it through the second is (a) $0.60 ;$ (b) $0.72 ;$ (c) $0.82 ;$ (d) 0.91 .

Narayan Hari

Numerade Educator

01:29

Problem 24

A third polarizer is placed between a pair of crossed polarizers. Find the fraction of light coming from the first polarizer that makes it through the third if the angle between the transmission axes of the first two is $45^{\circ}$. (a) $0.50 ;$ (b) 0.25 ; (c) $0.12 ;$ (d) 0.

Narayan Hari

Numerade Educator

02:26

Problem 25

Visible light is incident on an oil film $(n=1.51)$ coating a puddle of water. What minimum oil thickness will maximize the reflection of each of these colors: (a) blue $(460 \mathrm{nm})$; (b) yellow $(580 \mathrm{nm}):(\mathrm{c})$ red $(640 \mathrm{nm}) ?$

Prabhu Ramji

Numerade Educator

01:23

Problem 26

For what minimum oil thickness in the preceding problem will you see no reflection for the red light?

Prabhu Ramji

Numerade Educator

03:35

Problem 27

You pour some oil on water and, looking straight down, see a reflection of $440-\mathrm{nm}$ violet light. What will you see if you
(a) double and (b) triple the oil thickness?

Prabhu Ramji

Numerade Educator

02:17

Problem 28

An antireflection coating $(n=1.38)$ of thickness $105 \mathrm{nm}$ coats a plastic eyeglass lens $(n=1.64) .$ For what visible wavelength will reflection be best minimized?

Satpal Satpal

Numerade Educator

01:33

Problem 29

The soap film comprising a bubble is $102 \mathrm{nm}$ thick and has refractive index $1.33 .$ What visible wavelength is best reflected from this bubble? Assume air both inside and outside the bubble and a viewing angle normal to the bubble surface.

Prabhu Ramji

Numerade Educator

01:15

Problem 30

You're observing Newton's rings with 520 -nm light. What minimum air gap produces a bright ring?

Satpal Satpal

Numerade Educator

01:24

Problem 31

When illuminated by white light, a pair of reflective sunglasses appears blue, peaking at $480 \mathrm{nm}$. How thick is the reflective coating if its refractive index is $1.36 ?$

Prabhu Ramji

Numerade Educator

01:02

Problem 32

Plastic with $n=1.42$ is to be coated on sunglasses so eye-damaging near ultraviolet light (UVA; $\lambda=380 \mathrm{nm}$ ) will be reflected. What thickness coating should you use?

Narayan Hari

Numerade Educator

01:05

Problem 33

A Michelson interferometer uses $589-\mathrm{nm}$ yellow sodium light. How far must one mirror be moved for the interference pattern to shift by 10 fringes?

Narayan Hari

Numerade Educator

03:21

Problem 34

The Michelson interferometer is often used to measure the refractive index of gases. A transparent cell, initially evacuated, is placed in one arm of the interferometer and illuminated with monochromatic light with $\lambda=540 \mathrm{nm}$. (a) Explain why the interference fringes shift when air is let into the cell.
(b) If the cell is $6.0 \mathrm{~cm}$ long, by how many bright fringes does the pattern shift when the cell fills with air $(n=1.00029)$ at $20^{\circ} \mathrm{C}$ and $P=1.0 \mathrm{~atm} ?$

Satpal Satpal

Numerade Educator

02:33

Problem 35

Yellow light with wavelength $589 \mathrm{nm}$ passes through a pair of slits separated by $0.56 \mathrm{~mm} .$ What is the separation between bright-line fringes on a screen (a) $2.0 \mathrm{~m}$;
(b) $3.0 \mathrm{~m}$ away?

Satpal Satpal

Numerade Educator

02:20

Problem 36

Violet light with $\lambda=440 \mathrm{nm}$ strikes a double slit and creates an interference pattern on a distant screen. At the position of the third-order bright fringe, how much farther is this fringe from the more distant slit than from the closer one? Does it matter how far
away the screen is?

Satpal Satpal

Numerade Educator

02:35

Problem 37

Green light with $\lambda=540 \mathrm{nm}$ strikes a pair of slits separated by $0.085 \mathrm{~mm}$. (a) Find the angular deviation of each of the first three fringes, relative to the central maximum.
(b) Is the smallangle approximation justified?

Prabhu Ramji

Numerade Educator

03:28

Problem 38

Orange light with $\lambda=615 \mathrm{nm}$ strikes a pair of slits separated by $0.580 \mathrm{~mm}$. On a screen $1.20 \mathrm{~m}$ away, what's the distance between (a) the two second-order bright fringes; (b) the central maximum and one of the fourth dark fringes; (c) the third bright fringe on one side of the central maximum and the third dark fringe on the other?

Prabhu Ramji

Numerade Educator

01:55

Problem 39

Monochromatic light of unknown wavelength passes through two slits separated by $0.12 \mathrm{~mm}$, producing an interference pattern on a screen $1.55 \mathrm{~m}$ away. If the distance between the central maximum and the first dark fringe is $3.40 \mathrm{~mm}$, what's the wavelength of the light?

Satpal Satpal

Numerade Educator

02:51

Problem 40

A double-slit system with slit separation $0.340 \mathrm{~mm}$ is used to determine the wavelength of light passed by a filter. The resulting bright fringes are $2.58 \mathrm{~mm}$ apart on a screen $1.50 \mathrm{~m}$ away.
(a) What's the wavelength?
(b) What color is the filter?

Satpal Satpal

Numerade Educator

02:45

Problem 41

White light shines through a far-red filter and the resulting 680 -nm light passes through a double slit and produces 17 bright fringes across a distant screen. If the red filter is replaced by a violet one $(\lambda=440 \mathrm{nm})$, how many bright fringes will be on the screen?

Satpal Satpal

Numerade Educator

02:57

Problem 42

You're doing a double-slit experiment with two different col- ors. You notice that the second-order bright fringe using $680-\mathrm{nm}$ red light is in the same place as the third-order bright fringe of the other
color. (a) What's the wavelength of that color? (b) What color is it?

Satpal Satpal

Numerade Educator

02:40

Problem 43

You have a white light source and two different filters: $\lambda=480 \mathrm{nm}$ and $\lambda=630 \mathrm{nm}$. The first-order bright fringe from a double slit is $9.0 \mathrm{~mm}$ from the central maximum when you use the shorter wavelength. What's the corresponding distance for the longer wavelength?

Satpal Satpal

Numerade Educator

02:17

Problem 44

Young's double-slit experiment can be done with waves throughout the electromagnetic spectrum. Suppose microwaves $(f=100 \mathrm{GHz})$ are sent through a pair of slits $25 \mathrm{~cm}$ apart, cut into a metal sheet. If you have a microwave detector $10 \mathrm{~m}$ on the other side of the slits, how far do you have to move the detector to go from maximum to minimum microwave intensity?

Satpal Satpal

Numerade Educator

02:15

Problem 45

You're attempting a double-slit experiment with $10-\mathrm{nm} \times$ rays, using an x-ray detector $0.80 \mathrm{~m}$ from a pair of slits. If the detector is capable of resolving maxima separated by $0.15 \mathrm{~mm},$ how close together must the slits be?

Satpal Satpal

Numerade Educator

03:49

Problem 46

A diffraction grating has $1.0-\mu \mathrm{m}$ spacing. Find the firstorder diffraction angles for the following wavelengths: (a) violet, $440 \mathrm{nm}$; (b) green. $540 \mathrm{nm}$; (c) red, $640 \mathrm{nm}$.

Satpal Satpal

Numerade Educator

02:37

Problem 47

A diffraction grating has 1.25 - $\mu$ m spacing
(a) What wavelength is diffracted through a $26.1^{\circ}$ angle? (b) Is this wavelength visible in second order? If so, at what angle?

Satpal Satpal

Numerade Educator

01:43

Problem 48

(a) Find the smallest grating spacing that lets you see the entire visible spectrum. (b) What spacing lets you see the entire visible spectrum through second order?

Satpal Satpal

Numerade Educator

03:39

Problem 49

You have a diffraction grating with spacing $1.40-\mu \mathrm{m}$ that passes infrared, visible, and ultraviolet. Find the first-order diffraction angles of the following wavelengths: (a) ultraviolet, $300 \mathrm{nm}$;
(b) visible, $550 \mathrm{nm}$
(c) infrared, $900 \mathrm{nm}$.

Satpal Satpal

Numerade Educator

01:53

Problem 50

You're using a red laser with $\lambda=632.8 \mathrm{nm}$ to illuminate a diffraction grating. (a) What spacing will allow you to see diffraction through fourth order? (b) If you can barely resolve the fourth-order line, at what angles do the first three orders appear?

Prabhu Ramji

Numerade Educator

04:36

Problem 51

A diffraction grating has a $1.0-\mu \mathrm{m}$ spacing. What portion of the visible spectrum can be seen in (a) first order, (b) second order, (c) third order?

Satpal Satpal

Numerade Educator

04:46

Problem 52

You're using a diffraction grating to view the 400 - to 700 -nm visible spectrum. Suppose you can see the spectrum through third order. (a) Show that the first- and second-order spectra never overlap, regardless of the grating spacing.
(b) Show that the second and third-order spectra always overlap.

Mayukh Banik

Numerade Educator

03:26

Problem 53

The bright yellow sodium line in the sodium spectrum is actually a pair of closely spaced lines at $589.0 \mathrm{nm}$ and $589.6 \mathrm{nm}$. You observe the sodium spectrum using a diffraction grating with a spacing of $1300 \mathrm{nm}$. Find the angular separation between the two sodium lines (a) in first order, (b) in second order.

Satpal Satpal

Numerade Educator

05:08

Problem 54

Monochromatic light with wavelength $560 \mathrm{nm}$ passes through a single slit $2.50 \mu \mathrm{m}$ wide and $2.00 \mathrm{~m}$ from a screen. Find the distance between the first- and second-order dark fringes on the
screen.

Satpal Satpal

Numerade Educator

01:37

Problem 55

In a single-slit diffraction pattern, the fourth-order minimum is $1.5^{\circ}$ from the center. What's the slit width if the wavelength is
(a) $450 \mathrm{nm}$ and
(b) $650 \mathrm{nm} ?$

Narayan Hari

Numerade Educator

01:41

Problem 56

A 633-nm red laser is aimed through a 0.125 -mm-diameter cir- cular pinhole. In the resulting diffraction pattern, what's the angle from the central maximum to the first dark ring?

Narayan Hari

Numerade Educator

03:00

Problem 57

Monochromatic light $\lambda=520 \mathrm{nm}$ is aimed through a pinhole, producing a diffraction pattern on a wall $1.75 \mathrm{~m}$ away. If the radius of the second dark ring is $2.50 \mathrm{~mm},$ what's the pinhole's diameter?

Satpal Satpal

Numerade Educator

02:02

Problem 58

Monochromatic light is aimed through a 0.24 -mm-diameter circular hole. The resulting diffraction pattern appears on a screen, and its second bright ring has diameter $2.10 \mathrm{~cm} .$ How should the diameter of the hole be changed to increase the second bright ring's diameter to $3.00 \mathrm{~cm} ?$

Prabhu Ramji

Numerade Educator

04:08

Problem 59

The brightest star in the sky is Sirius, which is actually a pair of stars 8.6 light years from Earth, separated from each other by about $3.0 \times 10^{12} \mathrm{~m}$. What minimum telescope diameter is needed to resolve the two stars with $550-\mathrm{nm}$ light?

Satpal Satpal

Numerade Educator

04:31

Problem 60

When Venus is close to Earth it appears in a crescent phase. You can see this using a good pair of binoculars. (a) Use the astronomical data in Appendix $\mathrm{E}$ to estimate Venus's angular width when it's closest to Earth. (b) To see the crescent clearly, you need a resolution about half this angular width. What's the minimum diameter for your binocular lenses, assuming $550-\mathrm{nm}$ light?

Satpal Satpal

Numerade Educator

03:44

Problem 61

The Hubble Space Telescope has a 2.4-m-diameter mirror. (a) What's Hubble's minimum angular resolution, using $550-\mathrm{nm}$ light? (b) Hubble is used in the search for planets orbiting nearby stars. If a star is 10 light years distant, what's the minimum distance between planet and star if the two are to be resolved? Compare your answer with the distance from Earth to Sun.

Satpal Satpal

Numerade Educator

05:46

Problem 62

The three principal visible spectral lines from hydrogen have wavelengths $434 \mathrm{nm}, 486 \mathrm{nm},$ and $656 \mathrm{nm}$. The principal line of sodium is at $589 \mathrm{nm}$. A sodium lamp used to calibrate a diffraction grating shows the first-order sodium line at $25.0^{\circ}$ from the central maximum. Find the angular positions of the three firstorder hydrogen lines in hydrogen.

Satpal Satpal

Numerade Educator

02:03

Problem 63

What's the spacing in a diffraction grating that produces a $10^{\circ}$ separation between the two shortest-wavelength hydrogen lines in the preceding problem?

Prabhat Tyagi

Numerade Educator

01:45

Problem 64

Unpolarized light passes through two polarizers. Find the fraction of light from the polarizer that gets through the second when the angle between their transmission axes is
(a) $30^{\circ}$
(b) $45^{\circ}$
(c) $75^{\circ}$;
(d) $90^{\circ}$

Prabhu Ramji

Numerade Educator

01:02

Problem 65

Two polarizing sheets have their transmission axes at $35^{\circ} .$ What fraction of light from the first polarizer makes it through the second?

Narayan Hari

Numerade Educator

01:07

Problem 66

Polarized light passes through a polarizer and only $10 \%$ gets through. Find the angle between the light's electric field and the polarizer's transmission axis.

Narayan Hari

Numerade Educator

02:56

Problem 67

A 10 -mW unpolarized laser beam passes through two polarizers, whose transmission axes differ by $30^{\circ} .$ What's the beam power (a) in the region between the two polarizers and (b) after the second polarizer?

Satpal Satpal

Numerade Educator

01:01

Problem 68

A $5-\mathrm{mW}$ laser beam has its electric field vertical. If it passes through a polarizer with its transmission axis at $60^{\circ}$ to the vertical, what's the power of the transmitted beam?

Narayan Hari

Numerade Educator

02:22

Problem 69

A polarizer is slipped between two crossed polarizers. Find the fraction of the light from the first polarizer that makes it through the last one if the angle between the transmission axes of the first two is (a) $30^{\circ}$;
(b) $60^{\circ} ;$ (c) $89^{\circ}$

Prabhu Ramji

Numerade Educator

01:55

Problem 70

Unpolarized light is passed through two polarizers. The light intensities emerging from the two are $I_{1}$ and $I_{2}$, respectively. Graph $I_{2} / I_{1}$ as a function of $\theta,$ where $\theta$ is the angle between the two transmission axes and varies from 0 to $180^{\circ}$.

Prabhu Ramji

Numerade Educator

03:04

Problem 71

Three polarizers in sequence have transmission axes at $0^{\circ}, 45^{\circ},$ and $90^{\circ} .$ (a) What fraction of light from the first polarizer gets through the third? (b) How does the situation change if the first two polarizers are interchanged?

Prabhu Ramji

Numerade Educator

01:41

Problem 72

The air gap in part of a Newton's rings apparatus varies from zero to $2.00 \mu \mathrm{m}$. How many bright rings can be observed in this region? Use an average visible wavelength of $550 \mathrm{nm}$.

Prabhu Ramji

Numerade Educator

01:13

Problem 73

A spy satellite is orbiting $300 \mathrm{~km}$ above Earth's surface. What diameter mirror is necessary for it to resolve the $15-\mathrm{cm}-$ high numbers on a license plate with $550-\mathrm{nm}$ light? Assume diffraction limits the optical resolution.

Narayan Hari

Numerade Educator

03:32

Problem 74

You're applying a 110 -nm-thick antireflection coating to eyeglasses, hoping to limit reflection in the middle of the visible spectrum $(\lambda=550 \mathrm{nm})$.
(a) What should be the coating's refractive index, assuming it's less than that of the lenses? (b) If instead you use a coating with $n=1.42$, what's its minimum thickness?

Satpal Satpal

Numerade Educator

03:06

Problem 75

In a Newton's rings demonstration using 540 -nm light, the distance from the center of the rings to the first bright ring is $0.30 \mathrm{~mm} .$ If the bottom piece of glass is flat, what's the curvature radius of the top piece?

Prabhu Ramji

Numerade Educator

03:32

Problem 76

The Hubble Space Telescope has a 2.4-m-diameter mirror, its successor, the James Webb Space Telescope, will have a 6.4 -m mirror. Among the largest telescopes on the drawing board is the ground-based European Extra Large Telescope, whose mirror will measure 42 m across. Assuming diffraction is the limiting factor, could any or all of these telescopes resolve a star and its planet 75 light years from Earth, if the planet is the same distance from the star as Earth is from the Sun and the light used has 600 -nm wavelength?

Sean Dougherty

Numerade Educator

01:13

Problem 77

The signal from a 103.9 -MHz FM radio station reflects from two buildings $35 \mathrm{~m}$ apart, effectively producing two coherent sources of the same signal. You're driving at $60 \mathrm{~km} / \mathrm{h}$ along a road parallel to the line connecting the two buildings and $400 \mathrm{~m}$ away. As you pass closest to the two sources, how often do you hear the signal fade?

Narayan Hari

Numerade Educator

03:18

Problem 78

You're viewing small objects from a distance of $2.0 \mathrm{~m}$. What's the smallest object you can resolve under each of the following conditions, with light at the middle of the visible spectrum, $\lambda=550 \mathrm{nm} ?$
(a) The room is brightly lit, and your pupil diameter is $4.2 \mathrm{~mm}$. (b) The lighting is dim, and your pupil has expanded to 9.5 -mm diameter.

Satpal Satpal

Numerade Educator

03:01

Problem 79

Unpolarized light passes through a succession of three po- larizers. Their orientations with respect to the vertical are $0^{\circ}, 65^{\circ}$ and $45^{\circ}$, respectively. Find the fraction of the original light intensity remaining after each of the three polarizers.

Satpal Satpal

Numerade Educator

09:23

Problem 80

You have a summer job with an aerospace firm providing in- strumentation for a space probe to study the outer planets. The probe will carry an ultraviolet spectrometer with a $2.0-\mathrm{cm}$ -wide grating ruled at 102 lines $/ \mathrm{mm}$. The spectrometer must be able to resolve spectral features only $1 \mathrm{~mm}$ apart in twelfth order, when observing at a wavelength of $155 \mathrm{nm}$. Does it meet these specifications?

Ozenc Gungor

Numerade Educator

01:01

Problem 81

You're investigating an oil spill for the state environmental protection agency. You have a sample of the slick on glass, and in the thinnest section of the slick you observe constructive interference with 580 -nm light. The refractive indices of the oil and glass are 1.38 and $1.52,$ respectively. What do you report for the oil slick's thickness?

Narayan Hari

Numerade Educator