The drawing shows a coin resting on the bottom of a beaker filled with an unknow
ID: 1290996 • Letter: T
Question
The drawing shows a coin resting on the bottom of a beaker filled with an unknown liquid. A ray of light from the coin travels to the surface of the liquid and is refracted as it enters into the air. A person sees the ray as it skims just above the surface of the liquid. How fast is the light traveling in the liquid? (Let x =5.25 cm and y = 5.64 cm.)
The drawing shows a coin resting on the bottom of a beaker filled with an unknown liquid. A ray of light from the coin travels to the surface of the liquid and is refracted as it enters into the air. A person sees the ray as it skims just above the surface of the liquid. How fast is the light traveling in the liquid? (Let x =5.25 cm and y = 5.64 cm.)Explanation / Answer
From the disgram
Angle of Incidence =tan-1(5.25/5.64) = 42.94degrees
from the snell's law , the ratio of refractive indexes is
n1 Sin (42.94) = n2 sin(90)
n1/n2 = 1.46
speed of light in the medium is v = c/n
Speed of light in medium = 3*10^8 m/s /1.46 = 2.05 * 108m/s
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