A physicist is hired to do some decorating at a celebration. The client is very keen on including some lighting effects, and in particular wants to have 365 stripes of yellow light (581.0 nm) evenly distributed on a 5.00 m Plexiglas board. a) Draw a labelled sketch of the display installation using an air wedge. b) Calculate the number of pieces of paper (each 1/10th of a millimeter) the physicist would need to insert at one end of the boards to make this happen

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A physicist is hired to do some decorating at a celebration. The client is very keen on including some lighting effects, and in particular wants to have 365 stripes of yellow light (581.0 nm) evenly distributed on a 5.00 m Plexiglas board.

a) Draw a labelled sketch of the display installation using an air wedge.

b) Calculate the number of pieces of paper (each 1/10th of a millimeter) the physicist would need to insert at one end of the boards to make this happen.

Table 1 The Speed of Light and Indices of Refraction in Different Media
Index of
Speed of
Index of
Speed of
Medium
refraction light (m/s) Medium
light (m/s)
refraction
1.00
2.9979 x 10° lens of human eye
1.41
2.1262 x 10°
vacuum
2.9970 x 10° quartz crystal
1.46
2.0534 x 10°
air
1.0003
2.3061 x 10° Pyrex glass
2.0394 x 10
1.9854 x 10°
ice
1.30
1.47
liquid water
1.33
2.2541 × 10° | Plexiglas (plastic)
1.51
2.2541 x 10° benzene
aqueous humour (liquid
between the lens and cornea)
1.33
1.50
1.9986 x 10
cornea of human eye
1.38
2.1724 x 10° zircon
1.92
1.5601 x 10
vitreous humour (liquid
between the lens and retina)
1.38
2.1724 x 10 diamond
2.42
1.2388 x 10
Transcribed Image Text:Table 1 The Speed of Light and Indices of Refraction in Different Media Index of Speed of Index of Speed of Medium refraction light (m/s) Medium light (m/s) refraction 1.00 2.9979 x 10° lens of human eye 1.41 2.1262 x 10° vacuum 2.9970 x 10° quartz crystal 1.46 2.0534 x 10° air 1.0003 2.3061 x 10° Pyrex glass 2.0394 x 10 1.9854 x 10° ice 1.30 1.47 liquid water 1.33 2.2541 × 10° | Plexiglas (plastic) 1.51 2.2541 x 10° benzene aqueous humour (liquid between the lens and cornea) 1.33 1.50 1.9986 x 10 cornea of human eye 1.38 2.1724 x 10° zircon 1.92 1.5601 x 10 vitreous humour (liquid between the lens and retina) 1.38 2.1724 x 10 diamond 2.42 1.2388 x 10
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