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Light of wavelength 6.00 × 10-7 m is incident on two slits separated by 0.100 mm, and the resulting interference pattern is viewed on a screen 1.00 m away.

Determine the following:

1
Angular deviation for the second-order maximum
2
Distance of the second-order maximum from the central maximum
3
Angular deviation for the second dark space from the central maximum
4
Distance of the second dark space from the central maximum
5
Interference fringe spacing on the screen
6
Where the screen should be located relative to the slits in order to have the third-order maxima separated by 5.00 cm
7
Wavelength of light that would place the third dark space at the site of the present second order maxima
8
Width of the central maxima (at the base) if the slit separation is doubled

Light of wavelength 6.66 × 10-7 m is incident on a planar diffraction grating that has 5000 lines/cm and 2500 lines are illuminated by the beam of light. The resulting diffraction pattern is viewed on a screen 0.500 m away.

Determine the following:

9
Grating spacing
10
Number of diffraction images that can be observed
11
Angular deviation of first-order diffraction image
12
Distance on screen between first and second-order images
13
Longest wavelength for which the second order can be observed

A thin film of oil on water is shown in the figure below

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Air na = 1.00Oil no = 1.25Water nw = 1.33
 to = 2.40 × 10-7 m (the thickness of the oil film) 

Determine the following:

14
Phase change of ray 1 at the first surface
15
Phase change of ray 2 at the second surface
16
Wavelengths in the visible range that experience constructive interference
17
Wavelengths in the visible range that experience destructive interference
18
Thinnest film of this oil that can cause destructive interference for light of wavelength λ = 5.00 × 10-7 m

Light of wavelength 6.00 × 10-7 m is incident on a single slit 0.100 mm wide, and the resulting diffraction pattern is viewed on a screen 2.00 m away.

Determine the following:

19
Angular position of the first dark space
20
Distance of the first dark space from the location of the central maximum
21
Width of the central maximum on the screen
22
Angular deviation between the first and second dark spaces
23
Approximate distance of the first secondary maximum from the central maximum
24
Width of the first secondary maximum on the screen
25
Where the screen should be relocated relative to the slit in order to double the width of the central maximum
26
Wavelength of light that would have its first dark space at the site of the present second secondary maximum
27
The amount we would have to change the slit width in order to double the width of the central maximum on the screen







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