Calculate the speed of a ray if it passes through a medium having refractive index 1.432. (I:1)

Question

BlackTom AI · Accepted Answer

To find the speed of light in a medium, use v = c / n, where c is the vacuum speed of light (~3.00 × 10^8 m/s) and n is the refractive index of the medium.

Compute the velocity: v = (3.00 × 10^8 m/s) / 1.432 ≈ 2.095 × 10^8 m/s.

Now evaluate the provided options:
- Option a: 0.4773 × 10^-8 m/s equals 4.773 × 10^-7 m/s, which is vastly too small and not close to the calculated v. This is incorrect.
- Option b: 0.4773 × 10^8 m/s equals 4.773 × 10^7 m/s, still far from the computed 2.095 × 10^8 m/s. This is incorrect.
- Option c: 4.296 × 10^8 m/s exceeds the vacuum speed of light, which is physically impossible for a real medium in standard interpretation, so this is incorrect.
- Option d: 2.095 × 10^8 m/s matches the calculated velocity v = c / n for n = 1.432, making this the correct choice.

In summary, the correct speed in the medium is obtained by dividing the vacuum speed by the refractive index, and among the options, only the value in Option d aligns with v = c / n.

Calculate the speed of a ray if it passes through a medium having refractive index 1.432. (I:1)

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