The velocity of light is the highest in

2021

The velocity of light is the highest in

  1. A.

    Water

  2. B.

    Air

  3. C.

    Vacuum

  4. D.

    Glass

Attempted by 38 students.

Show answer & explanation

Correct answer: C

Concept: The speed of light in a medium is governed by that medium's optical density, expressed through its refractive index n. The relationship is v = c / n, where c is the speed of light in vacuum (about 3 × 10⁸ m/s) and n ≥ 1 for every physical medium. A larger refractive index means a denser medium and a slower light speed.

Apply v = c / n to each medium using standard refractive-index values, then compare:

  • Vacuum: n = 1 exactly, so v = c, the maximum possible speed.

  • Air: n ≈ 1.0003, so light is only fractionally slower than c.

  • Water: n ≈ 1.33, so v ≈ c / 1.33, noticeably slower.

  • Glass: n ≈ 1.5, so v ≈ c / 1.5, the slowest of the four.

Cross-check: ordering the media by increasing refractive index gives vacuum (1) < air (1.0003) < water (1.33) < glass (1.5); since speed is inversely proportional to n, the speed order is exactly reversed, confirming vacuum gives the greatest speed and glass the least.

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