Question

A) How long (in ns) does it take light to travel 1.0 m in a vacuum?

b) What distance does light travel in water, glass, cubic zirconia during the time it travels in 1.0 m vacuum?

Answer 1

a

`t  =  3.33 \  ns`

b

i
`D_w  =0.75 \  m`

ii
`D_g  =0.67 \  m`

iii
`D_c  =0.46 \  m`

Step-by-step explanation:

Generally the time taken to travel 1 m in a vacuum is mathematically represented as

`t  =  (1)/(c)`

Here c is the speed of light with value
`c =  3.0*10^(8) \  m/s`

So

`t  =  (1)/(3.0*10^(8))`

`t  =  3.33*10^(-9) \  s`

`t  =  3.33 \  ns`

The distance light travels in water is mathematically represented as

`D_w  = (c)/(n_w)  *  t`

Here n_w is the refractive index of water with value 1.333

So

`D_w  = (3.0*10^(8))/(1.333)  *  3.33*10^(-9)`

`D_w  =0.75 \  m`

The distance light travels in glass is mathematically represented as

`D_g  = (c)/(n_g)  *  t`

Here n_g is the refractive index of glass with value 1.5

So

`D_g  = (3.0*10^(8))/(1.5)  *  3.33*10^(-9)`

`D_g  =0.67 \  m`

The distance light travels in cubic zirconia is mathematically represented as

`D_c  = (c)/(n_g)  *  t`

Here n_c is the refractive index of cubic zirconia with value 2.15

So

`D_c  = (3.0*10^(8))/(2.15)  *  3.33*10^(-9)`

`D_c  =0.46 \  m`