Question 1

A beam of light of wavelength 610 nm passes through a slit that is 1.90 µm wide.At what the angle away from the centerline does the first dark fringe occur?

Accepted Answer

A) 9.35° 
B) 11.4° 
C) 12.2° 
D) 39.9° 
E) 18.7° 
A) 9.35° 
B) 11.4° 
C) 12.2° 
D) 39.9° 
E) 18.7°

Question 2

Monochromatic coherent light shines through a pair of slits.If the distance between these slits is decreased,which of the following statements are true of the resulting interference pattern? (There could be more than one correct choice.)

Accepted Answer

A) The distance between the maxima stays the same. 
B) The distance between the maxima decreases. 
C) The distance between the minima stays the same. 
D) The distance between the minima increases. 
E) The distance between the maxima increases. 
A) The distance between the maxima stays the same. 
B) The distance between the maxima decreases. 
C) The distance between the minima stays the same. 
D) The distance between the minima increases. 
E) The distance between the maxima increases.

Question 3

Light of wavelength 610 nm is incident on a slit 0.20 mm wide and the diffraction pattern is viewed on a screen that is 1.5 m from the slit.What is the width on the screen of the central maximum?

Accepted Answer

A) 0.34 cm 
B) 0.68 cm 
C) 0.92 cm 
D) 1.2 cm 
E) 1.5 cm 
A) 0.34 cm 
B) 0.68 cm 
C) 0.92 cm 
D) 1.2 cm 
E) 1.5 cm

Question 4

What is the limiting angle of resolution for a lens of radius 2.0 mm when viewing with light having a wavelength of 600 nm?

Accepted Answer

A) 1.3 × 10-4 rad 
B) 1.5 × 10-4 rad 
C) 1.8 × 10-4 rad 
D) 1.5 × 10-7 rad 
E) 1.8 × 10-7 rad 
A) 1.3 × 10-4 rad 
B) 1.5 × 10-4 rad 
C) 1.8 × 10-4 rad 
D) 1.5 × 10-7 rad 
E) 1.8 × 10-7 rad

Question 5

Light in air of wavelength 500 nm illuminates a soap film that has an index of refraction of 1.3 and air on both sides.What is the minimum thickness of this film that will produce cancellation in the reflected light when the light is incident normally on the film?

Accepted Answer

The answer of Light in air of wavelength 500 nm...

Question 6

Assuming a pupil diameter of 3 mm,what is the angular resolution of the human eye for light at the middle of the visible spectrum (550 nm)?

Accepted Answer

A) 0.8° 
B) 0.2° 
C) 2 mrad 
D) 0.01° 
E) 2° 
A) 0.8° 
B) 0.2° 
C) 2 mrad 
D) 0.01° 
E) 2°

Question 7

The wavelength of light in a thin film is 360 nm and the wavelength of light in vacuum is 469 nm.What is the index of refraction for the film?

Accepted Answer

A) 1.10 
B) 1.30 
C) 1.50 
D) 1.70 
E) 1.90 
A) 1.10 
B) 1.30 
C) 1.50 
D) 1.70 
E) 1.90

Question 8

A grating has 5150 lines per centimeter ruled on it.What is the angular separation between the first- and the third-order bright spots on the same side of the central maximum when the grating is illuminated by a beam of light with wavelength 633 nm?

Accepted Answer

The answer of A grating has 5150 lines per centimeter...

Question 9

A single slit,which is 0.0500 mm wide,is illuminated by light of 550 nm wavelength.What is the angular separation between the first two minima on either side of the central maximum?

Accepted Answer

The answer of A single slit,which is 0.0500 mm wide,is...

Question 10

The distance between the ruled lines on a grating is 1770 nm.The grating is illuminated at normal incidence with a parallel beam of white light in the 400 nm to 700 nm wavelength band.What is the longest wavelength that appears in the third order spectrum?

Accepted Answer

A) 590 nm 
B) 570 nm 
C) 550 nm 
D) 530 nm 
E) 610 nm 
A) 590 nm 
B) 570 nm 
C) 550 nm 
D) 530 nm 
E) 610 nm

Question 11

In a two-slit experiment,monochromatic coherent light of wavelength 600 nm passes through a pair of slits separated by 2.20 x $10^{ - 5}$ m.At what angle away from the centerline does the first bright fringe occur?

Accepted Answer

A) 1.56° 
B) 2.22° 
C) 3.12° 
D) 4.70° 
E) 6.24° 
A) 1.56° 
B) 2.22° 
C) 3.12° 
D) 4.70° 
E) 6.24°

Question 12

A beam of light of wavelength 600 nm is incident normally on a grating with a spacing between slits of 1.70 × 10-4 cm.At what angle away from the centerline does a first-order maximum occur?

Accepted Answer

A) 10.5° 
B) 12.1° 
C) 16.4° 
D) 18.2° 
E) 20.7° 
A) 10.5° 
B) 12.1° 
C) 16.4° 
D) 18.2° 
E) 20.7°

Question 13

A plastic cube is immersed in water having an index of refraction of 1.33.A laser beam in the plastic strikes the interface at an angle of 14.5° with the normal in the plastic.In the water,this beam makes an angle of 21.8° with the normal.What is the speed of light in the plastic cube? (c = 3.0 × 108 m/s)

Accepted Answer

Question 14

A camera used for aerial mapping has a lens with a 30-cm diameter maximum aperture and a 42-cm focal length.Light of 550 nm wavelength is used to form the image.Assuming that the resolution of the camera is limited only by diffraction,what is the smallest angle (in milliradians)subtended by an object on the ground that can be resolved by this camera at maximum aperture?

Accepted Answer

A) 1.6 mrad 
B) 2.2 mrad 
C) 3.2 mrad 
D) 4.5 mrad 
E) 6.3 mrad 
A) 1.6 mrad 
B) 2.2 mrad 
C) 3.2 mrad 
D) 4.5 mrad 
E) 6.3 mrad

Question 15

A thin uniform film of oil that can be varied in thickness covers a sheet of glass of refractive index 1.52.The refractive index of the oil is 1.64.Light of wavelength 555 nm is shone from air at normal incidence on the film.Starting with no oil on the glass,you gradually increase the thickness of the oil film until the first interference maximum in the reflected light occurs.What is the thickness of the oil film at that instant?

Accepted Answer

A) 139 nm 
B) 169 nm 
C) 183 nm 
D) 84.6 nm 
E) 91.3 nm 
A) 139 nm 
B) 169 nm 
C) 183 nm 
D) 84.6 nm 
E) 91.3 nm

Question 16

Light from a He-Ne laser of wavelength 633 nm passes through a circular aperture.The resulting pattern is observed on a screen 4.0 m behind the aperture,where the width of the central bright circle is 1.1 cm.What is the diameter of the hole?

Accepted Answer

A) 560 μm 
B) 9.8 μm 
C) 32,000 μm 
D) 4700 μm 
A) 560 μm 
B) 9.8 μm 
C) 32,000 μm 
D) 4700 μm

Question 17

An 18-mm-wide grating has rulings of 710 lines per millimieter.Monochromatic light of wavelength 506 nm wavelength is incident normally on the grating.What is the largest angle from the centerline at which an intensity maximum is formed?

Accepted Answer

A) 46° 
B) 44° 
C) 42° 
D) 40° 
E) 38° 
A) 46° 
B) 44° 
C) 42° 
D) 40° 
E) 38°

Question 18

In a single-slit diffraction experiment,the width of the slit through which light passes is reduced.What happens to the width of the central bright fringe in the resulting diffraction pattern?

Accepted Answer

A) It stays the same. 
B) It becomes narrower. 
C) It becomes wider. 
A) It stays the same. 
B) It becomes narrower. 
C) It becomes wider.

Question 19

Light of wavelength 687 nm passes through a single slit that is 0.75 mm wide.At what distance from the slit should a screen be placed so that the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the pattern?

Accepted Answer

A) 0.39 m 
B) 0.93 m 
C) 1.1 m 
D) 1.5 m 
E) 1.9 m 
A) 0.39 m 
B) 0.93 m 
C) 1.1 m 
D) 1.5 m 
E) 1.9 m

Question 20

Treat the pupil of your eye as a circular aperture of diameter 3.5 mm.Light of wavelength 500 nm is used to view two point sources that are 283 m distant from you.How far apart must these two point sources be if they are to be just barely resolved by your eye,assuming that the resolution is limited by diffraction?

Accepted Answer

The answer of Treat the pupil of your eye as...

Exam 24: Wave Optics

A beam of light of wavelength 610 nm passes through a slit that is 1.90 µm wide.At what the angle away from the centerline does the first dark fringe occur?

Monochromatic coherent light shines through a pair of slits.If the distance between these slits is decreased,which of the following statements are true of the resulting interference pattern? (There could be more than one correct choice.)

Light of wavelength 610 nm is incident on a slit 0.20 mm wide and the diffraction pattern is viewed on a screen that is 1.5 m from the slit.What is the width on the screen of the central maximum?

What is the limiting angle of resolution for a lens of radius 2.0 mm when viewing with light having a wavelength of 600 nm?

Light in air of wavelength 500 nm illuminates a soap film that has an index of refraction of 1.3 and air on both sides.What is the minimum thickness of this film that will produce cancellation in the reflected light when the light is incident normally on the film?

Assuming a pupil diameter of 3 mm,what is the angular resolution of the human eye for light at the middle of the visible spectrum (550 nm)?

The wavelength of light in a thin film is 360 nm and the wavelength of light in vacuum is 469 nm.What is the index of refraction for the film?

A grating has 5150 lines per centimeter ruled on it.What is the angular separation between the first- and the third-order bright spots on the same side of the central maximum when the grating is illuminated by a beam of light with wavelength 633 nm?

A single slit,which is 0.0500 mm wide,is illuminated by light of 550 nm wavelength.What is the angular separation between the first two minima on either side of the central maximum?

The distance between the ruled lines on a grating is 1770 nm.The grating is illuminated at normal incidence with a parallel beam of white light in the 400 nm to 700 nm wavelength band.What is the longest wavelength that appears in the third order spectrum?

In a two-slit experiment,monochromatic coherent light of wavelength 600 nm passes through a pair of slits separated by 2.20 x 10−510^{ - 5}10−5 m.At what angle away from the centerline does the first bright fringe occur?

A beam of light of wavelength 600 nm is incident normally on a grating with a spacing between slits of 1.70 × 10-4 cm.At what angle away from the centerline does a first-order maximum occur?

Light from a He-Ne laser of wavelength 633 nm passes through a circular aperture.The resulting pattern is observed on a screen 4.0 m behind the aperture,where the width of the central bright circle is 1.1 cm.What is the diameter of the hole?

An 18-mm-wide grating has rulings of 710 lines per millimieter.Monochromatic light of wavelength 506 nm wavelength is incident normally on the grating.What is the largest angle from the centerline at which an intensity maximum is formed?

In a single-slit diffraction experiment,the width of the slit through which light passes is reduced.What happens to the width of the central bright fringe in the resulting diffraction pattern?

Light of wavelength 687 nm passes through a single slit that is 0.75 mm wide.At what distance from the slit should a screen be placed so that the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the pattern?

Introduction

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Filters

In a two-slit experiment,monochromatic coherent light of wavelength 600 nm passes through a pair of slits separated by 2.20 x $10^{ - 5}$ m.At what angle away from the centerline does the first bright fringe occur?

A beam of light of wavelength 600 nm is incident normally on a grating with a spacing between slits of 1.70 × 10^-4 cm.At what angle away from the centerline does a first-order maximum occur?