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A block of clear glass with opposite faces parallel is placed successively in various transparent, colorless liquids referred to as liquids 1, 2, and 3. The refractive indices are: air = 1.00, glass = 1.50, liquid 1 = 1.30, liquid 2 = 1.50, liquid 3 = 1.70.

The figure below shows five situations involving the glass and liquids.

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α > β > γ > δ > ε > θ

For each of the situations given below, select the diagram that best represents the path of a ray passing through the glass under the conditions described.

1
The block is submerged in liquid 1
2
The block is submerged in liquid 2
3
The block is submerged in liquid 3
4
The block half submerged in liquid 1 (the top half is in air)
5
The block half submerged in liquid 3 (the top half is in air)

The following figure shows a ball bearing embedded in a block of ice. The ray incident on the block undergoes total internal reflection at the second ice-air boundary.

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ni = 1.31 = index of refraction of ice
θri = angle of refraction in ice
θia = angle of incidence in air
θc = critical angle for ice relative to air
θii = θc + 2.20° = angle of incidence in ice

Determine the following:

6
θc
7
θri
8
θia
9
Apparent depth of the ball bearing when viewed from the top
10
Speed of light in the ice

The figure below shows objects in front of concave and convex mirrors.

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|f| = 20.0 cm for both mirrorsh1 = h2 = h3 = h4 = 20.0 cm
p1 = 100 cmp2 = 30.0 cmp3 = 10.0 cmp4 = 40.0 cm

Determine the following:

11
Location of the image of object 1
12
Location of the image of object 2
13
Location of the image of object 3
14
Location of the image of object 4
15
Magnification of object 1
16
Magnification of object 3
17
Size and orientation of the image of object 2
18
Size and orientation of the image of object 4
19
Whether the image of object 3 is real or virtual
20
Whether the image of object 4 is real or virtual

The figure below shows objects in front of converging and diverging lenses.

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|f| = 20.0 cmh1 = h2 = h3 = h4 = h5 = 2.00 cmp1 = 60.0 cm
p2 = 30.0 cmp3 = 10.0 cmp4 = 50.0 cmp5 = 20.0 cm

Determine the following:

21
Image distance for object 1
22
Image distance for object 4
23
Magnification of the image of object 2
24
Magnification of the image of object 5
25
Size and orientation of the image of object 3
26
Size and orientation of the image of object 5
27
Objects with virtual images

Unpolarized light traveling in air is incident upon a liquid with a refractive index of 1.60 at Brewster's angle. It is established that 10.0% of the incident beam is reflected and 90.0% is refracted. Determine the following:

28
Polarizing angle for this liquid
29
Angle of reflection for the reflected beam
30
Angle between the reflected and refracted beam
31
Angle of refraction for the refracted beam







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