If the speed of light in air is 3 x 108 m/s, then the speed of light in glycerin, which has refractive index of 1.47, will be :

Foundation

Physics Foundation

Reflection from spherical mirror

Question

If the speed of light in air is 3 x 10⁸ m/s, then the speed of light in glycerin, which has refractive index of 1.47, will be :

4.41 x 10⁸ m/s.

2.04 x 10⁸ m/s.

2.04 x 10⁶m/s.

4.9 x 10⁹ m/s.

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The speed of light in a medium is given by the formula: v = c / n, where v is the speed in the medium, c is the speed in vacuum (or approximately in air), and n is the refractive index of the medium.

Given: c = $3 \times 10^{8}$ m/s and n = 1.47.

Therefore, v = $\frac{3 \times 10^{8}}{1.47}$ ≈ $2.04 \times 10^{8}$ m/s.

Final Answer: 2.04 x 10⁸ m/s