Question 1

In a Young's experiment,the paths from the slits to a point on the screen differ in length causing constructive interference at the point.Which of the following path difference would cause this constructive interference?

Accepted Answer

A)  5λ/2 
B)  3λ/4 
C)  4λ 
D)  None of the above.

Question 2

Diffraction grating №1 has half the lines/cm that diffraction grating №2 does.When used with a certain wavelength of light,both gratings give first order maxima.Which of the following statements is true for the same wavelength of light.

Accepted Answer

A)  Both gratings must also give second order maxima. 
B)  Grating №1 must give a second order maximum. 
C)  Grating №2 must give a second order maximum. 
D)  It is possible that neither grating gives a second order maximum.

Question 3

A hair is placed at one edge between two flat glass plates.When this arrangement is illuminated with violet light of wavelength (λ = 408 nm),a total of 109 dark bands are counted starting at the point of contact between the plates.How thick is the hair? (1 nm = 10−9 m)

Accepted Answer

A)  2.2 × 10−5 m 
B)  4.4 × 10−5 m 
C)  2.4 × 10−4 m 
D)  3.3 × 10−4 m 
E)  ​1.1 × 10−5 m

Question 4

After light from a source passes through two slits,a first order bright spot is seen on the wall at point P.Which distance is equal to the wavelength of the light?

Accepted Answer

A)  the extra distance one beam must travel 
B)  the distance between beams as they leave the slit 
C)  the distance of point P from the central point of the interference pattern 
D)  the distance between slits

Question 5

Newton's rings:

Accepted Answer

A)  are a sound that light can cause. 
B)  require oil to occur. 
C)  are a result of Fraunhofer diffraction. 
D)  are an interference phenomenon.

Question 6

Two narrow slits are 0.022 mm apart.When a laser shines on them,bright fringes form on a screen that is a meter away.These fringes are 2.7 cm apart.What is the separation between the second order bright fringe and the central fringe?

Accepted Answer

A)  0.6 cm 
B)  5.4 cm 
C)  5.3 cm 
D)  7.3 cm 
E)  ​2.9 cm

Question 7

A beam of light of wavelength 633 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−9 m)

Accepted Answer

A)  158 nm 
B)  633 nm 
C)  317 nm 
D)  79 nm 
E)  ​475 nm

Question 8

A multiple slit diffraction grating has a slit separation of 2.37 × 10−6 m.Find the wavelength of the monochromatic light that will have its second order bright fringe diffracted through an angle of 27.7°.(1 nm = 10−9 m)

Accepted Answer

A)  358 nm 
B)  644 nm 
C)  551 nm 
D)  367 nm 
E)  ​275 nm

Question 9

Light is reflecting off a wedge-shaped thin piece of glass producing bright and dark interference fringes.If a certain location has a bright fringe,a nearby point will have a dark fringe if the thickness of the glass increases by:

Accepted Answer

A)  1/8 of a wavelength of the light. 
B)  1/4 of a wavelength of the light. 
C)  1/2 of a wavelength of the light. 
D)  one wavelength of the light.

Question 10

The center spot of Newton's rings is dark.This destructive interference occurs because:

Accepted Answer

A)  the two beams travel distances that are different by half a wavelength. 
B)  both waves change phase by 180° as they are reflected. 
C)  one beam changes phase by 180° when it is reflected. 
D)  both waves have a trough.

Question 11

A possible means for making an airplane radar-invisible is to coat the plane with an antireflective polymer.If radar waves have a wavelength of 3.6 cm,and the index of refraction of the polymer is n = 1.6,how thick would the coating be if a 180° phase change occurs at both surfaces?

Accepted Answer

A)  11 mm 
B)  23 mm 
C)  5.6 mm 
D)  2.8 mm 
E)  ​14 mm

Question 12

When the sun is located near one of the horizons,an observer looking at the sky directly overhead will view partially polarized light.This effect is due to which of the following processes?

Accepted Answer

A)  reflection 
B)  double refraction 
C)  selective absorption 
D)  scattering

Question 13

A soap bubble (n = 1.35)is floating in air.If the thickness of the bubble wall is 320 nm,which of the following wavelengths of visible light is strongly reflected?

Accepted Answer

A)  543 nm (green) 
B)  612 nm (orange) 
C)  576 nm (yellow) 
D)  661 nm (red) 
E)  ​392 nm (violet)

Question 14

How far above the horizon is the moon when its image reflected in calm water is completely polarized? (nwater = 1.333)

Accepted Answer

A)  53.12° 
B)  18.44° 
C)  22.20° 
D)  36.88°

Question 15

In the straight-ahead direction (θ = 0°)in Fraunhofer diffraction,which of the following is observed on the screen?

Accepted Answer

A)  a minimum equal in width to the adjacent minima 
B)  a minimum double in width to the adjacent minima 
C)  a maximum equal in width to the adjacent maxima 
D)  a maximum double in width to the adjacent maxima

Question 16

A Fraunhofer diffraction pattern is produced from a light source of wavelength 671 nm.The light goes through a single slit and onto a screen 1.9 m away.The first dark fringe is 6.1 mm from the central bright fringe.What is the slit width? (1 nm = 10−9 m)

Accepted Answer

A)  0.42 mm 
B)  0.21 mm 
C)  0.07 mm 
D)  0.31 mm 
E)  ​0.034 mm

Question 17

A light source simultaneously emits light of two wavelengths,581 nm and 545 nm,respectively.The source is used in a double-slit interference experiment where the slit spacing is a 0.0441 mm,and the distance between double slits and the screen is 1.70 m.What is the separation between the second-order bright fringes of the two wavelengths as they appear on the screen? (1 nm = 10−9 m)

Accepted Answer

A)  0.14 cm 
B)  0.07 cm 
C)  0.28 cm 
D)  0.73 cm 
E)  ​8.68 cm

Question 18

At what angle is the sun above the horizon if its light is found to be completely polarized when it is reflected from the top surface of a slab of glass (n = 1.63)?

Accepted Answer

A)  31.5° 
B)  58.5° 
C)  0.55° 
D)  37.8° 
E)  ​52.2°

Question 19

Waves from a radio station with a wavelength of 761 m arrive at a home receiver a distance 50 km away from the transmitter by two paths.One is a direct-line path and the second by reflection from a mountain directly behind the receiver.What is the minimum distance between the mountain and receiver such that destructive interference occurs at the location of the listener? Assume no phase change on reflection.

Accepted Answer

A)  190 m 
B)  381 m 
C)  571 m 
D)  761 m 
E)  ​1522 m

Question 20

A Young's double-slit apparatus is set up where a screen is positioned 1.2 m from the double slits.If the distance between alternating bright fringes is 0.89 cm,and the light source has a wavelength of 576 nm,what is the separation of the double slits? (1 nm = 10−9 m)

Accepted Answer

A)  1.0E-2 m 
B)  7.8E-5 m 
C)  6.7E-6 m 
D)  8.3E-5 m 
E)  ​4.3E-9 m

Exam 24: Wave Optics

In a Young's experiment,the paths from the slits to a point on the screen differ in length causing constructive interference at the point.Which of the following path difference would cause this constructive interference?

Diffraction grating №1 has half the lines/cm that diffraction grating №2 does.When used with a certain wavelength of light,both gratings give first order maxima.Which of the following statements is true for the same wavelength of light.

A hair is placed at one edge between two flat glass plates.When this arrangement is illuminated with violet light of wavelength (λ = 408 nm) ,a total of 109 dark bands are counted starting at the point of contact between the plates.How thick is the hair? (1 nm = 10−⁹ m)

After light from a source passes through two slits,a first order bright spot is seen on the wall at point P.Which distance is equal to the wavelength of the light?

Newton's rings:

Two narrow slits are 0.022 mm apart.When a laser shines on them,bright fringes form on a screen that is a meter away.These fringes are 2.7 cm apart.What is the separation between the second order bright fringe and the central fringe?

A beam of light of wavelength 633 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−⁹ m)

A multiple slit diffraction grating has a slit separation of 2.37 × 10−⁶ m.Find the wavelength of the monochromatic light that will have its second order bright fringe diffracted through an angle of 27.7°.(1 nm = 10−⁹ m)

Light is reflecting off a wedge-shaped thin piece of glass producing bright and dark interference fringes.If a certain location has a bright fringe,a nearby point will have a dark fringe if the thickness of the glass increases by:

The center spot of Newton's rings is dark.This destructive interference occurs because:

A possible means for making an airplane radar-invisible is to coat the plane with an antireflective polymer.If radar waves have a wavelength of 3.6 cm,and the index of refraction of the polymer is n = 1.6,how thick would the coating be if a 180° phase change occurs at both surfaces?

When the sun is located near one of the horizons,an observer looking at the sky directly overhead will view partially polarized light.This effect is due to which of the following processes?

A soap bubble (n = 1.35) is floating in air.If the thickness of the bubble wall is 320 nm,which of the following wavelengths of visible light is strongly reflected?

How far above the horizon is the moon when its image reflected in calm water is completely polarized? (n_water = 1.333)

In the straight-ahead direction (θ = 0°) in Fraunhofer diffraction,which of the following is observed on the screen?

A Fraunhofer diffraction pattern is produced from a light source of wavelength 671 nm.The light goes through a single slit and onto a screen 1.9 m away.The first dark fringe is 6.1 mm from the central bright fringe.What is the slit width? (1 nm = 10−⁹ m)

At what angle is the sun above the horizon if its light is found to be completely polarized when it is reflected from the top surface of a slab of glass (n = 1.63) ?

A Young's double-slit apparatus is set up where a screen is positioned 1.2 m from the double slits.If the distance between alternating bright fringes is 0.89 cm,and the light source has a wavelength of 576 nm,what is the separation of the double slits? (1 nm = 10−⁹ m)

Exam 24: Wave Optics

In a Young's experiment,the paths from the slits to a point on the screen differ in length causing constructive interference at the point.Which of the following path difference would cause this constructive interference?

Diffraction grating №1 has half the lines/cm that diffraction grating №2 does.When used with a certain wavelength of light,both gratings give first order maxima.Which of the following statements is true for the same wavelength of light.

A hair is placed at one edge between two flat glass plates.When this arrangement is illuminated with violet light of wavelength (λ = 408 nm) ,a total of 109 dark bands are counted starting at the point of contact between the plates.How thick is the hair? (1 nm = 10−9 m)

After light from a source passes through two slits,a first order bright spot is seen on the wall at point P.Which distance is equal to the wavelength of the light?

Newton's rings:

Two narrow slits are 0.022 mm apart.When a laser shines on them,bright fringes form on a screen that is a meter away.These fringes are 2.7 cm apart.What is the separation between the second order bright fringe and the central fringe?

A beam of light of wavelength 633 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−9 m)

A multiple slit diffraction grating has a slit separation of 2.37 × 10−6 m.Find the wavelength of the monochromatic light that will have its second order bright fringe diffracted through an angle of 27.7°.(1 nm = 10−9 m)

Light is reflecting off a wedge-shaped thin piece of glass producing bright and dark interference fringes.If a certain location has a bright fringe,a nearby point will have a dark fringe if the thickness of the glass increases by:

The center spot of Newton's rings is dark.This destructive interference occurs because:

A possible means for making an airplane radar-invisible is to coat the plane with an antireflective polymer.If radar waves have a wavelength of 3.6 cm,and the index of refraction of the polymer is n = 1.6,how thick would the coating be if a 180° phase change occurs at both surfaces?

When the sun is located near one of the horizons,an observer looking at the sky directly overhead will view partially polarized light.This effect is due to which of the following processes?

A soap bubble (n = 1.35) is floating in air.If the thickness of the bubble wall is 320 nm,which of the following wavelengths of visible light is strongly reflected?

How far above the horizon is the moon when its image reflected in calm water is completely polarized? (nwater = 1.333)

In the straight-ahead direction (θ = 0°) in Fraunhofer diffraction,which of the following is observed on the screen?

A Fraunhofer diffraction pattern is produced from a light source of wavelength 671 nm.The light goes through a single slit and onto a screen 1.9 m away.The first dark fringe is 6.1 mm from the central bright fringe.What is the slit width? (1 nm = 10−9 m)

At what angle is the sun above the horizon if its light is found to be completely polarized when it is reflected from the top surface of a slab of glass (n = 1.63) ?

A Young's double-slit apparatus is set up where a screen is positioned 1.2 m from the double slits.If the distance between alternating bright fringes is 0.89 cm,and the light source has a wavelength of 576 nm,what is the separation of the double slits? (1 nm = 10−9 m)

A hair is placed at one edge between two flat glass plates.When this arrangement is illuminated with violet light of wavelength (λ = 408 nm) ,a total of 109 dark bands are counted starting at the point of contact between the plates.How thick is the hair? (1 nm = 10−⁹ m)

A beam of light of wavelength 633 nm is incident along the normal to two closely spaced parallel glass plates.For what air gap separation between the plates will the transmitted beam be of maximum intensity? (1 nm = 10−⁹ m)

A multiple slit diffraction grating has a slit separation of 2.37 × 10−⁶ m.Find the wavelength of the monochromatic light that will have its second order bright fringe diffracted through an angle of 27.7°.(1 nm = 10−⁹ m)

How far above the horizon is the moon when its image reflected in calm water is completely polarized? (n_water = 1.333)

A Fraunhofer diffraction pattern is produced from a light source of wavelength 671 nm.The light goes through a single slit and onto a screen 1.9 m away.The first dark fringe is 6.1 mm from the central bright fringe.What is the slit width? (1 nm = 10−⁹ m)

A Young's double-slit apparatus is set up where a screen is positioned 1.2 m from the double slits.If the distance between alternating bright fringes is 0.89 cm,and the light source has a wavelength of 576 nm,what is the separation of the double slits? (1 nm = 10−⁹ m)