Question

The refractive index of crown glass is 1.52, water 1.33, sapphire 1.77 in which of the medium the speed of light is maximum, minimum, calculate the speed of light in sapphire

Answer 1

Answer:

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Answer 2

The speed of light is maximum in water of refractive index 1.33 and it is minimum in sapphire.

The speed of light in sapphire is $1.69\times 10^8\ m/s$.

Explanation:

• The mathematical formula of refractive index is given by :

$n=\dfrac{c}{v}$

c is speed of light in air

v is speed of light in medium

So, $v=\dfrac{c}{n}$

• The medium having less refractive index will have maximum speed of light. The speed of light is maximum in water of refractive index 1.33.

• The medium having high refractive index will have minimum speed of light. The speed of light is minimum in sapphire.

The speed of light in sapphire is given by :

$v=\dfrac{c}{n}\\\\v=\dfrac{3\times 10^8}{1.77}\\\\v=1.69\times 10^8\ m/s$

Learn more,

Refractive index

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