Answer:
refractive index for water,glass,diamond are 0.752m, 0.667m, 0.413m respectively
Explanation:
refractive index (n) = [tex]\frac{velocity of light in air/vacuum}{velocity of light in substance}[/tex]
velocity =[tex]\frac{distance}{time}[/tex]
The time for travel is kept constant for all mediums.
refractive index (n) = [tex]\frac{\frac{distance in vacuum}{time} }{\frac{distance in medium}{time} }\\ \\=\frac{distance in vacuum}{distance in medium}[/tex]
distance in medium = [tex]\frac{distance in vacuum}{refractive index of medium}[/tex]
[tex]S_{medium} = \frac{S_{vacuum} }{n_{medium} }[/tex]
For water, n= 1.33
[tex]S_{water} = \frac{1 }{1.33}[/tex]
[tex]S_{water} = 0.752m[/tex]
For glass, n=1.5
[tex]S_{glass}= \frac{1 }{1.5}[/tex]
[tex]S_{glass} = 0.667m[/tex]
For diamond, n= 2.42
[tex]S_{diamond} = \frac{1 }{2.42}[/tex]
[tex]S_{diamond} = 0.413m[/tex]
