What is the speed of light in a medium of refractive index if its speed in air is 3 00000km s?

AcademicPhysicsNCERTClass 10

Given:

Speed of light in air = 3,00,000 km/s

Refractive index of the medium = $\frac {6}{5}$

To find: Speed of light in the given medium.

Solution:

From the formula of refractive index, we know that:

$Refractive\ index\ of\ a\ medium=\frac{Speed\ of\ light\ in\ air}{Speed\ of\ light\ in\ medium}$

Substituting the given values in the formula, we get-

$\frac {6}{5}=\frac {3,00,000}{Speed\ of\ light\ in\ medium}$

$Speed\ of\ light\ in\ medium=\frac {5\times 300000}{6}$

$Speed\ of\ light\ in\ medium=5\times 50000$

$Speed\ of\ light\ in\ medium=250000km/s$

Thus, the speed of light in the given medium is 2,50,000 km/s.

Updated on 10-Oct-2022 10:49:39

Given:Speed of light in air = 3,00,000 km/sRefractive index of the medium = 6/5Speed of light in the given medium = ?Applying formula for refractive index, we get:Refractive index of a medium = (Speed of light in air) / (Speed of light in medium)or(Speed of light in medium) = (Speed of light in air) / (Refractive index of a medium)= 3,00,000 / (6/5)

= 2,50,000 km/s

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What is the speed of light in a medium of refractive index 6/5 if its speed in air is 3,00,000 km/s ?

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