Question

What distance does light travel in water, glass, and diamond during the time that it travels 1.0 m in vacuum? The refractive indices for water, glass, and diamond are 1.33, 1.50, and 2.42, respectively. Express your answers in meters separated by commas.

Answer 1

refractive index for water,glass,diamond are 0.752m, 0.667m, 0.413m respectively

Step-by-step explanation:

refractive index (n) =
`(velocity of light in air/vacuum)/(velocity of light in substance)`

velocity =
`(distance)/(time)`

The time for travel is kept constant for all mediums.

refractive index (n) =
`((distance in vacuum)/(time) )/((distance in medium)/(time) )\\ \\=(distance in vacuum)/(distance in medium)`

distance in medium =
`(distance in vacuum)/(refractive index of medium)`

`S_(medium)  = (S_(vacuum) )/(n_(medium) )`

For water, n= 1.33

`S_(water) = (1 )/(1.33)`

`S_(water) = 0.752m`

For glass, n=1.5

`S_(glass)= (1 )/(1.5)`

`S_(glass) = 0.667m`

For diamond, n= 2.42

`S_(diamond) = (1 )/(2.42)`

`S_(diamond) = 0.413m`