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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?

Physics

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Answer

A

Step-by-step solution

3 steps

30.
The speed of light (vv) in a medium is inversely proportional to its refractive index (nn). The relationship is given by the formula:

v=cnv = \frac{c}{n}

where cc is the speed of light in a vacuum.

This means that light travels fastest in the medium with the lowest refractive index.

  1. Identify the refractive indices for each medium.

    • Medium A: nA=1.33n_A = 1.33
    • Medium B: nB=1.65n_B = 1.65
    • Medium C: nC=1.46n_C = 1.46
  2. Compare the refractive indices to find the lowest value.

    Comparing the values: 1.33<1.46<1.651.33 < 1.46 < 1.65.
    The lowest refractive index is 1.33, which corresponds to Medium A.

  3. 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 A\boxed{\text{A}}.

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