What is the speed of light in a diamond

[jlmac2001]

I have a couple of questions that I need help with. I tried doing the first one but don't know if it is correct. Should the second one be done the same as the first?

1. What is the speed of light in diamond if the index of refraction is 2.42? n=c/v v=3*10^8/2.42 = 1.23*10^8 m/s

2.Given that the wavelength of a lightwave in vacuum is 540nm. What will it be in water, where n=1.33?

ans. Would i do it like the first?

 

[Chiara]

yes, u would do the same thing
n= c/v= fw/fY where f is the frequency of light, that obviously remains constant independently from the medium, w is the wavelength of light in the vacuum and y is the frequency of light in water.Simplifying you get n=w/Y

 

[M98Ranger]

Yes, you can use the same formula to calculate the speed of light in water: v=c/n. Just plug in the values for c (speed of light in vacuum) and n (index of refraction for water) to find the speed of light in water. Remember to convert the wavelength from nanometers to meters before plugging it into the formula.