Question

The speed of light in diamond is 124000km/sec.if the speed of light in air is 300000km/sec then the refractive index of diamond will be

Answer 1

If the speed of light in air is 300000 km/sec and speed of light in diamond is 124000 km/sec then the refractive index of diamond will be  2.42 .

Explanation:

• Refractive Index or the index of refraction of a material “n” is defined as the measure of bending of light ray when passing from one medium to another medium.  

• It is determined as the ratio of velocity of light in air or vacuum denoted as “c” to the velocity of light in a specific material denoted as “v” i.e.,  

                                            n = c/v ….. (i)

It is given,

The speed of light in Diamond, c = 124000 km/sec

The speed of light in Air, v = 300000 km/sec

Thus, by substituting the given values in eq. (i), we get

The refractive index of diamond will be,

= 300000 / 124000

= 300 / 124

= 2.42

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Answer 2

0.413

Explanation:

• Refractive index is a property of medium which helps us find the deflection of light beams or rays.
• Usually air has a refractive index of 1 and other materials have more than 1.
• Velocity and refrative index can related by the abow formula,$\frac{v1}{v2} =\frac{\alpha1 }{\alpha2 }$,where $\alpha$ is the refractive index of the material.
• So by this relation we can find the refractive index of unknown materials.
• According to the given data speed in different medium are given so we can find the refractive index .

$\frac{124000}{300000} =\frac{\alpha1 }{1}$

$\frac{31}{75} =\alpha1\\  \\\alpha 1=0.413$

Hence the refractive index of the material is 0.413.