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The refractive index of diamond is 2.419. If the speed of light in vacuum is 3 × 108 m s–1, then the speed of light in diamond is
  • a)
    1.240 × 108 m s–1
  • b)
    1.352 × 108 m s–1
  • c)
    1.521 × 108 m s–1
  • d)
    2.433 × 108 m s–1
Correct answer is option 'A'. Can you explain this answer?
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The refractive index of diamond is 2.419. If the speed of light in vac...
Calculation of the speed of light in diamond

Refractive index of diamond = 2.419
Speed of light in vacuum = 3 x 10^8 m/s

The formula relating the speed of light in a medium to the speed of light in vacuum and the refractive index of the medium is:

speed of light in medium = speed of light in vacuum / refractive index of the medium

Substituting the given values into the formula, we get:

speed of light in diamond = (3 x 10^8 m/s) / 2.419
= 1.240 x 10^8 m/s

Therefore, the speed of light in diamond is 1.240 x 10^8 m/s, which is option A.

Explanation

The refractive index of a medium is a measure of how much the speed of light is reduced when it passes through the medium. The higher the refractive index, the more the speed of light is reduced. Diamond has a very high refractive index of 2.419, which means that the speed of light in diamond is much lower than the speed of light in vacuum.

The formula relating the speed of light in a medium to the speed of light in vacuum and the refractive index of the medium is derived from Snell's law of refraction. When light passes from one medium to another, it changes direction due to the change in speed. Snell's law relates the angle of incidence and the angle of refraction to the refractive indices of the two media.

In this question, we are given the refractive index of diamond and the speed of light in vacuum. Using the formula, we can calculate the speed of light in diamond. The answer is option A, 1.240 x 10^8 m/s.
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The refractive index of diamond is 2.419. If the speed of light in vacuum is 3 × 108 m s–1, then the speed of light in diamond isa)1.240 × 108 m s–1b)1.352 × 108 m s–1c)1.521 × 108 m s–1d)2.433 × 108 m s–1Correct answer is option 'A'. Can you explain this answer? for IIT JAM 2025 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The refractive index of diamond is 2.419. If the speed of light in vacuum is 3 × 108 m s–1, then the speed of light in diamond isa)1.240 × 108 m s–1b)1.352 × 108 m s–1c)1.521 × 108 m s–1d)2.433 × 108 m s–1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for IIT JAM 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The refractive index of diamond is 2.419. If the speed of light in vacuum is 3 × 108 m s–1, then the speed of light in diamond isa)1.240 × 108 m s–1b)1.352 × 108 m s–1c)1.521 × 108 m s–1d)2.433 × 108 m s–1Correct answer is option 'A'. Can you explain this answer?.
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