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The refractive index of a material is 2.4 - Leaving Cert Physics - Question (e) - 2018

Question (e)

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The refractive index of a material is 2.4. Calculate the speed of light in this material.

Worked Solution & Example Answer:The refractive index of a material is 2.4 - Leaving Cert Physics - Question (e) - 2018

Step 1

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Answer

The refractive index ( n ) is defined by the equation:

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

v is the speed of light in the material.

Step 2

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Answer

Given that the refractive index is 2.4 , we can substitute into the formula:

$2.4 = \frac{3 \times 10^8}{v}$

Step 3

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Answer

To find v , we rearrange the equation:

$v = \frac{3 \times 10^8}{2.4}$

Calculating this gives:

$v = 1.25 \times 10^8 \, \text{m/s}$

Thus, the speed of light in the material is approximately 1.25 \times 10^8 m/s.

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