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The refractive index of blood increases as the blood\'s glucose concentration in

ID: 1286841 • Letter: T

Question

The refractive index of blood increases as the blood's glucose concentration increases. (For normal glucose content it ranges from 1.34 to 1.36; it is higher than 1.33 for water because of all the additional organic compounds in the blood). Therefore, measuring the index of refraction of blood can help determine its glucose concentration. In a hypothetical process, a hemispherical container holds as small sample of blood, as seen below. A narrow laser beam enters perpendicular to the bottom curved surface and into the sample. The light reaches the blood-air interface at an angle of 40.0 degrees relative to the normal line. The light leaves the blood and passes through the air to a row of tiny detectors at the top indicating that the light beam left the blood at a a 61.7 degree angle. Determine the refractive index of the blood.

The refractive index of blood increases as the blood's glucose concentration increases. (For normal glucose content it ranges from 1.34 to 1.36; it is higher than 1.33 for water because of all the additional organic compounds in the blood). Therefore, measuring the index of refraction of blood can help determine its glucose concentration. In a hypothetical process, a hemispherical container holds as small sample of blood, as seen below. A narrow laser beam enters perpendicular to the bottom curved surface and into the sample. The light reaches the blood-air interface at an angle of 40.0 degrees relative to the normal line. The light leaves the blood and passes through the air to a row of tiny detectors at the top indicating that the light beam left the blood at a a 61.7 degree angle. Determine the refractive index of the blood.

Explanation / Answer

n=Sin(i)/Sin(r)=Sin(61.7)/Sin(40)=1.37

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