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nsider a common mirage formed by superheated air immediately above a roadway. A truck driver whose eyes are 2.00 m above the road, where n = 1.000 293, looks forward. She perceives the illusion of a patch of water ahead on the road. The road appears wet only beyond a point on the road at which her line of sight makes an angle of 1.30° below the horizontal. Find the index of refraction of the air immediately above the road surface. (Treat this as a problem in total internal reflection. Give your an

Respuesta :

Answer:

[tex]n_{air}  =1.0000355[/tex]

Explanation:

from snells law we have following relation

[tex]n' Sin i = n_{air} Sin r[/tex]

[tex] n_{air}[/tex] is refractive index of air

n' -  refractive index of air below

i is angle of incidence = 90 - 1.30 = 88.70^o

r is refraction angle

plugging all value in above formula

[tex]1.000293 \times sin 88.7 = n_{air} \times sin 90[/tex]

[tex]n_{air}  =1.0000355[/tex]