Speed of Light in Materials A and B

What is the ratio of the speed of light in materials A and B?

The refractive indices of materials A and B have a ratio of na/nb = 1.46. The speed of light in material A is 1.12 x 10^8 m/s. What is the speed of light in material B?

Answer:

The speed of light in material B is 7.67 x 10^7 m/s.

In order to determine the speed of light in material B, we can use the ratio of refractive indices between materials A and B.

Since we know that na/nb = 1.46, where na is the speed of light in material A and nb is the speed of light in material B, we can set up the following equation:

na / nb = ca / cb

1.46 = (1.12 x 10^8 m/s) / cb

cb = (1.12 x 10^8 m/s) / 1.46

cb = 7.67 x 10^7 m/s

Therefore, the speed of light in material B is 7.67 x 10^7 m/s.

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