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A beam of light travels through three different media: A, B, and C. Their refractive indices are 1.33, 1.65, and 1.46, respectively. In which medium does light travel fastest?
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The speed of light () in a medium is inversely proportional to its refractive index (). The relationship is given by the formula:
where is the speed of light in a vacuum.
This means that light travels fastest in the medium with the lowest refractive index.
Identify the refractive indices for each medium.
- Medium A:
- Medium B:
- Medium C:
Compare the refractive indices to find the lowest value.
Comparing the values: .
The lowest refractive index is 1.33, which corresponds to Medium A.Conclude which medium allows light to travel fastest.
Since Medium A has the lowest refractive index, light will travel fastest in Medium A.
The correct option is (A).
The medium in which the light will travel fastest is .
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