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Exam 37: Wave Optics

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Question 1

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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

A) 0.
B) .
C) A.
D) .
E) 2A.

F) C) and E)
G) A) and D)

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Question 2

Multiple Choice

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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°. )

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

F) A) and C)
G) B) and E)

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Question 3

Multiple Choice

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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

In an interference pattern,the wavelength and frequency are

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

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

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

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.

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) .

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

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. )

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.

For small angle approximations

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?

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?

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

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.

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?

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