6) Suppose you have an unknown clear substance immersed in water, and you wish to identify it by finding its index of refraction. You arrange to have a beam of light enter it at an angle of 45.0∘ with respect to the normal, and you observe the angle of refraction to be 40.3∘. For convenience, the index of refraction for a variety of materials is provided below. a) What is the index of refraction of the substance? b) What is its likely identity?

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6) Suppose you have an unknown clear substance immersed in water, and you wish to identify it by finding its index of refraction. You arrange to have a beam of light enter it at an angle of 45.0∘ with respect to the normal, and you observe the angle of refraction to be 40.3∘. For convenience, the index of refraction for a variety of materials is provided below.

a) What is the index of refraction of the substance? 

b) What is its likely identity? 

Materials at 20°C for light with a vacuum wavelength of 589 nm.
n
n
Material
plexiglas
quartz (crystalline)
quartz (fused)
sodium chloride
zircon
air
Material
benzene
1.501
carbon disulfide
1.628
carbon tetrachloride 1.461
ethanol
1.361
1.473
1.333
glycerine
water (fresh)
Material
diamond
fluorite
2.419
1.434
glass (crown) 1.52
glass (flint)
1.66
ice (0°C)
1.309
polystyrene
1.49
n
1.51
1.544
1.458
1.544
1.923
1.00029
Transcribed Image Text:Materials at 20°C for light with a vacuum wavelength of 589 nm. n n Material plexiglas quartz (crystalline) quartz (fused) sodium chloride zircon air Material benzene 1.501 carbon disulfide 1.628 carbon tetrachloride 1.461 ethanol 1.361 1.473 1.333 glycerine water (fresh) Material diamond fluorite 2.419 1.434 glass (crown) 1.52 glass (flint) 1.66 ice (0°C) 1.309 polystyrene 1.49 n 1.51 1.544 1.458 1.544 1.923 1.00029
Expert Solution
Step 1

Given, angle of incidence i=45.0°

            angle of refraction r=40.3°

            index of refraction n=?

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