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Answer :
To find the index of refraction of the glass, we can use Snell's Law in the form: n1 * sin(critical angle) = n2 * sin(90°) Since the critical angle occurs when light is refracted from the glass into the air, n1 represents the index of refraction of the glass, and n2 represents the index of refraction of air (which is approximately 1).
Rearranging the formula:
n1 = n2 * sin(90°) / sin(critical angle)
Plugging in the given values:
n1 = 1 * sin(90°) / sin(39.0°)
n1 ≈ 1 / 0.62932
n1 ≈ 1.59
So, the index of refraction of the glass is approximately 1.59, which corresponds to option D).
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