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?

a

The the speed of light in the gemstone is  

b

The 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

c

One 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

answer: the correct answer id option(d).

explanation:

snell's law refraction:

the angle of refraction =

the angle of incidence =

refractive index of air = = 1

refractive index of glycerol = 1.47

from the given options, the most closest answer to 63.72° is 65° of option (d).

if they have a finite resultant