If the velocity of light in water is 3-4 times the velocity of light in vacuum- Find the refractive index of water-

Let velocity of light in vacuum =v ⇒ Velocity of light in water=34v Now,Refractive index of a medium (water) =Velocity of light in vacuumVelocity o ...

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Standard X

Physics

Refractive Index

If the veloci...

Question

If the velocity of light in water is $\frac{3}{4}$ times the velocity of light in vacuum. Find the refractive index of water.

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Solution

Let velocity of light in vacuum $= v$
$\Rightarrow V e l o c i t y o f l i g h t i n w a t e r = \frac{3}{4} v$
Now,
Refractive index of a medium (water) $= \frac{V e l o c i t y o f l i g h t i n v a c u u m}{V e l o c i t y o f l i g h t i n (w a t e r)}$
$\Rightarrow$ Refractive index $= \frac{4}{3} = 1.33...$
Hence, the Refractive index of water $= 1.33.$

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If the velocity of light in water is 34 times the velocity of light in vacuum. Find the refractive index of water.

Let velocity of light in vacuum=v⇒Velocity of light in water=34vNow,Refractive index of a medium (water)=Velocity of light in vacuumVelocity of light in (water)⇒ Refractive index =43=1.33...Hence, the Refractive index of water =1.33.

If the velocity of light in water is $\frac{3}{4}$ times the velocity of light in vacuum. Find the refractive index of water.