Question

the refractive index of diamond is 2.47 and that of glass 1.51 . how much faster does light travel in glass than in diamond

Answer 1

Hey there,

c = speed of light in air/vacuum.
(Speed of light in glass)/(Speed of light in diamond) = (c/1.51)/(c/2.42) = (2.42/1.51) = 1.602. Light travels 1.602 times faster in glass than in diamond.

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Answer 2

Answer:

Light travels 1.636 times faster in glass than in diamond.

Explanation:

Given that,

Refractive index of diamond  = 2.47

Refractive index of glass = 1.51

We know that,

The formula of refractive index is

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

Where, c = velocity of light in vacuum

v = velocity of light in medium

For diamond

$2.47=\dfrac{c}{v}$....(I)

For glass

$1.51=\dfrac{c}{v'}$....(II)

The ratio of the refractive index

$\dfrac{2.47}{1.51}=\dfrac{v'}{v}$

$\dfrac{v'}{v}=1.636$

$v'=1.636\ v$

The velocity in glass medium is equal to the 1.636 times the velocity of diamond.

Hence, Light travels 1.636 times faster in glass than in diamond.