Light traveling from water to a gemstone strikes the surface at an angle of 80.0º and has an angle of refraction of 15.2º . (a) What is the speed of light in the gemstone? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?

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Answer:aThe the speed of light in the gemstone is

bThe unreasonable thing about this is that the speed of ligth in the gemstone is too low

the speed is 19% of the speed of light which is very low

cOne main unreasonable or inconsistent factor is that the assumption that the differnce between the angle of incidence and angle of refraction is very large

Explanation:From the question we are told that

The angle of incidence

The angle of refraction

From Snell’s law we have ,

Where is the refractive index of the first medium (water) with a constant value of

is the refractive index of the second medium (gem stone)

is the angle between the beam and perpendicular surface of the first medium

is the angle between the beam an the perpendicular surface of the second medium

Making the the subject of the formula

Generally refractive index of a material is mathematically represented

Where c is the speed light

v is the speed of light observed in a medium

Making v the subject

substituting value for gem stone