If the speed of light in diamond is 1.24 x 10^8 m/s, find its refractive index.
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Given,
Speed of light in diamond = 1.24 × 10⁸ m/s
To find,
The refractive index of the diamond.
Solution,
We can simply solve this numerical problem by using the following process.
Now,
Refractive index of a medium = (Speed of light in vaccum) / (Speed of light in the medium)
Now,
Speed of light in vaccum = 3 × 10⁸ m/s
Thus,
The refractive index of the given medium :
= [(3 × 10⁸)m/s] ÷ [(1.24×10⁸)m/s]
= (3×10⁸)/(1.24×10⁸)
= 3/1.24
≈ 2.42
(This will be considered as the final result.)
Hence, the refractive index of the diamond is approximately 2.42
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