Question 1

A planar cross section through two spherical waves emanating from the sources S1 and S2 in the plane is shown in the figure.The black circles are one and two wavelengths from their respective sources.The lighter circles are one half and one and a half wavelengths distant from their respective sources.If the phase at S1 and S2 is zero at this instant,and the waves shown arriving at P1 both arrive with amplitude A,the magnitude of the phase angle of each wave at point P1 (in radians)is

Accepted Answer

A)  0.
B)  π.
C)  2π.
D)  3π.
E)  π/2. D

Question 2

In an interference pattern,the wavelength and frequency are

Accepted Answer

A)  the same in both the regions of constructive interference and the regions of destructive interference.
B)  greater in regions of constructive interference than in regions of destructive interference.
C)  smaller in regions of constructive interference than in regions of destructive interference.
D)  unchanged in regions of destructive interference but greater in regions of constructive interference.
E)  unchanged in regions of destructive interference but smaller in regions of constructive interference. A

Question 3

In a double slit experiment,the distance between the slits is 0.2 mm and the distance to the screen is 100 cm.What is the phase difference (in degrees)between the waves from the two slits arriving at a point 5 mm from the central maximum when the wavelength is 400 nm? (Convert your result so the angle is between 0 and 360°. )

Accepted Answer

A)  90°
B)  180°
C)  270°
D)  360°
E)  160° B

Question 4

The bright and dark bands you see in a photograph of a double slit interference pattern represent

Accepted Answer

A)  the respective positions of the crests and the troughs of the light wave.
B)  an interference pattern that is not present unless it is produced by the camera lens.
C)  the respective positions of constructive and destructive interference of light from the two sources.
D)  the respective positions of destructive and constructive interference of light from the two sources.
E)  the respective positions of bright and dark particles of light.

Question 5

Bright and dark fringes are seen on a screen when light from a single source reaches two narrow slits a short distance apart.Each bright fringe will shift to the location of the adjacent bright fringe if a thin film is placed in front of one of the slits.The minimum thickness of this film must be

Accepted Answer

A)    .
B)    .
C)    .
D)    .
E)    .

Question 6

Estimate the distance (in cm)between the central bright region and the third dark fringe on a screen 5.00 m from two double slits 0.500 mm apart illuminated by 500-nm light.

Accepted Answer

A)  3.47
B)  2.15
C)  1.75
D)  1.50
E)  1.25

Question 7

In a double-slit experiment,the distance between the slits is 0.2 mm,and the distance to the screen is 150 cm.What wavelength (in nm)is needed to have the intensity at a point 1 mm from the central maximum on the screen be 80% of the maximum intensity?

Accepted Answer

A)  900
B)  700
C)  500
D)  300
E)  600

Question 8

The figure shows two point sources of light,A and B,that emit light waves in phase with each other.A is distant 3λ from point P.B is distant 5λ from P.(λ is the wavelength. )The phase difference between the waves arriving at P from A and B is

Accepted Answer

A)  0 rad.
B)  π rad.
C)  2π rad.
D)  3π rad.
E)  4π rad.

Question 9

The figures below represent interference fringes.The distances from the screen to the slits is the same for each figure,and the planes of the screen and the slits are parallel.Which figure(s)represent(s)slits with the smallest spacing d between the slits? The white spaces represent the interference maxima.

Accepted Answer

A)  I.
B)  II.
C)  III.
D)  IV.
E)  V.

Question 10

In a Newton's rings apparatus,find the phase difference (in radians)when an air wedge of 500 nm thickness is illuminated with red light (λ = 640 nm).

Accepted Answer

A)  13
B)  11
C)  9
D)  7
E)  3

Question 11

The figures below represent interference fringes.The distances from the screen to the slits is the same for each figure,and the planes of the screen and the slits are parallel.In each figure the spacing d between the slits is the same.Which figure(s)represent(s)slits illuminated with light of the greatest wavelength λ? The white spaces represent the interference maxima.

Accepted Answer

A)  I.
B)  II.
C)  III.
D)  IV.
E)  V.

Question 12

When the adjustable mirror on the Michelson interferometer is moved 20 wavelengths,how many fringe pattern shifts would be counted?

Accepted Answer

A)  5
B)  10
C)  20
D)  40
E)  80

Question 13

A planar cross section through two spherical waves emanating from the sources S1 and S2 in the plane is shown in the figure.The black circles are one and two wavelengths from their respective sources.The lighter circles are one half and one and a half wavelengths distant from their respective sources.If the phase at S1 and S2 is zero at this instant,and the waves shown arriving at P2 both arrive with amplitude A,the difference in phase angle at point P2 (in radians)is

Accepted Answer

A)  0.
B)  π/2.
C)  π.
D)  3π/2.
E)  2π.

Question 14

Bright and dark fringes are seen on a screen when light from a single source reaches two narrow slits a short distance apart.The number of fringes per unit length on the screen can be halved

Accepted Answer

A)  if the distance between the slits is changed to  .
B)  if the wavelength is changed to  .
C)  if the distance between the slits is  the wavelength is changed to  .
D)  if any of the above occurs.
E)  only if the width of the slits is changed to  .

Question 15

A soap bubble (n = 1.35)is floating in air.If the thickness of the bubble wall is 115 nm,what visible light wavelength is most strongly reflected?

Accepted Answer

The answer of A soap bubble (n = 1.35)is floating...

Question 16

Monochromatic light (λ = 500 nm)is incident on a soap bubble (n = 1.40).What is the wavelength of the light (in nm)in the bubble film?

Accepted Answer

A)  255
B)  500
C)  700
D)  357
E)  422

Question 17

For small angle approximations

Accepted Answer

A)  the angle must be 10° or less
B)  the angle must be 10 radians or less
C)  the angle must be 1° or less
D)  the angle must be 1 radian or less
E)  the angle must be 45° or less

Question 18

Two slits separated by 0.050 mm are illuminated with green light (λ = 540 nm).How many bands of bright lines are there between the central maximum and the 12-cm position? (The distance between the double slits and the screen is 1.0 m. )

Accepted Answer

A)  1111
B)  111
C)  11
D)  1
E)  11111

Question 19

A planar cross section through two spherical waves emanating from the sources S1 and S2 in the plane is shown in the figure.S1 and S2 are in phase.The black circles are one and two wavelengths from their respective sources.The lighter circles are one half and one and a half wavelengths distant from their respective sources.If the waves shown arriving at P1 both arrive with amplitude A,the resultant amplitude at point P1 is

Accepted Answer

A)  0.
B)   1 and S2 in the plane is shown in the figure.S1 and S2 are in phase.The black circles are one and two wavelengths from their respective sources.The lighter circles are one half and one and a half wavelengths distant from their respective sources.If the waves shown arriving at P1 both arrive with amplitude A,the resultant amplitude at point P1 is   
A)  0. 
B)     . 
C)  A. 
D)     . 
E)  2A. " class="answers-bank-image d-inline" rel="preload" > .
C)  A.
D)   1 and S2 in the plane is shown in the figure.S1 and S2 are in phase.The black circles are one and two wavelengths from their respective sources.The lighter circles are one half and one and a half wavelengths distant from their respective sources.If the waves shown arriving at P1 both arrive with amplitude A,the resultant amplitude at point P1 is   
A)  0. 
B)     . 
C)  A. 
D)     . 
E)  2A. " class="answers-bank-image d-inline" rel="preload" > .
E)  2A.

Question 20

A thin sheet of plastic (n = 1.60)is inserted between two panes of glass to reduce infrared (λ = 700 nm)losses.What thickness (in nm)is necessary to produce constructive interference in the reflected infrared radiation?

Accepted Answer

A)  218
B)  109
C)  55
D)  318
E)  443

Exam 37: Wave Optics

In an interference pattern,the wavelength and frequency are

The bright and dark bands you see in a photograph of a double slit interference pattern represent

Bright and dark fringes are seen on a screen when light from a single source reaches two narrow slits a short distance apart.Each bright fringe will shift to the location of the adjacent bright fringe if a thin film is placed in front of one of the slits.The minimum thickness of this film must be

Estimate the distance (in cm) between the central bright region and the third dark fringe on a screen 5.00 m from two double slits 0.500 mm apart illuminated by 500-nm light.

In a double-slit experiment,the distance between the slits is 0.2 mm,and the distance to the screen is 150 cm.What wavelength (in nm) is needed to have the intensity at a point 1 mm from the central maximum on the screen be 80% of the maximum intensity?

The figure shows two point sources of light,A and B,that emit light waves in phase with each other.A is distant 3λ from point P.B is distant 5λ from P.(λ is the wavelength. ) The phase difference between the waves arriving at P from A and B is

In a Newton's rings apparatus,find the phase difference (in radians) when an air wedge of 500 nm thickness is illuminated with red light (λ = 640 nm) .

When the adjustable mirror on the Michelson interferometer is moved 20 wavelengths,how many fringe pattern shifts would be counted?

Bright and dark fringes are seen on a screen when light from a single source reaches two narrow slits a short distance apart.The number of fringes per unit length on the screen can be halved

A soap bubble (n = 1.35)is floating in air.If the thickness of the bubble wall is 115 nm,what visible light wavelength is most strongly reflected?

Monochromatic light (λ = 500 nm) is incident on a soap bubble (n = 1.40) .What is the wavelength of the light (in nm) in the bubble film?

For small angle approximations

Two slits separated by 0.050 mm are illuminated with green light (λ = 540 nm) .How many bands of bright lines are there between the central maximum and the 12-cm position? (The distance between the double slits and the screen is 1.0 m. )

A thin sheet of plastic (n = 1.60) is inserted between two panes of glass to reduce infrared (λ = 700 nm) losses.What thickness (in nm) is necessary to produce constructive interference in the reflected infrared radiation?