Question

The speed of light in a material is found to be 2.07 x 108 m/s. What is the most likely material from the options below if the speed of light in a vacuum is 3.00 x 108 m/s?

Answer 1

Answer:

1.3636

Explanation:

Write the expression for the refractive index.

n=c/v

c= speed of light in air

v= speed of light in material

=(3×10^8 m/s)/(2.2×10^8 m/s)

 =1.3636

Answer 2

Answer:

The material is silica quartz.

Explanation:

Given that,

Speed of light in material $v=2.07\times10^{8}\ m/s$

Speed of light  in vacuum $c=3.00\times10^{8}\ m/s$

We need to calculate the refractive index

Using formula of refractive index

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

Where, c = Speed of light  in vacuum

v=Speed of light  in material

Put the value into the formula

$n=\dfrac{3.00\times10^{8}}{2.07\times10^{8}}$

$n=1.44$

We know that,

Refractive index of silica quartz  is between 1.40 to 1.55

So, This is the refractive index of silica quartz.

Hence, The material is silica quartz.