The speed of light in water is 2-25 - 108 m - s- If the speed of light in vacuum be 3 - 108 m - s- calculate the refractive index of water-

Given: Speed of light in water = 2.25 times; 108 m/s Speed of light in vacuum = 3 times; 108 m/s Refractive index of water = ? Applying the formula for re ...

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Standard X

Physics

Dispersion of Light

The speed of ...

Question

The speed of light in water is 2.25 × 10⁸ m/s. If the speed of light in vacuum be 3 × 10⁸ m/s, calculate the refractive index of water.

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Solution

Given:
Speed of light in water = 2.25 × 10⁸ m/s
Speed of light in vacuum = 3 × 10⁸ m/s
Refractive index of water = ?
Applying the formula for refractive index, we get:
Refractive index of a medium = (Speed of light in vacuum) / (Speed of light in the medium)
For water:
Refractive index of water = (Speed of light in vacuum) / (Speed of light in water)
= (3 × 10⁸) / (2.25 × 10⁸)
= 1.33
Thus, the refractive index of water is 1.33.

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The speed of light in water is 2.25 × 108 m/s. If the speed of light in vacuum be 3 × 108 m/s, calculate the refractive index of water.

The speed of light in water is 2.25 × 10⁸ m/s. If the speed of light in vacuum be 3 × 10⁸ m/s, calculate the refractive index of water.