Question

the refractive index of diamond is 2.42.find out with what speed the light will travel.

Answer 1

begin mathsize 14px style Refractive space index space of space straight a space medium space equals fraction numerator Speed space of space light space in space vacuum space or space air over denominator Speed space of space light space in space that space medium end fraction rightwards double arrow Refractive space index space of space diamond space equals fraction numerator Speed space of space light space in space air over denominator Speed space of space light space in space diamond end fraction Given space refractive space index space of space diamond space space equals 2.42 We space know space that space speed space of space light space in space air space equals space 3 cross times 10 to the power of 8 space straight m divided by straight s Speed space of space light space in space diamond space equals fraction numerator Speed space of space light space in space air over denominator Refractive space index space of space diamond end fraction Therefore space speed space of space light space in space diamond space equals fraction numerator 3 cross times 10 to the power of 8 straight m divided by straight s over denominator 2.42 end fraction equals 1.24 cross times 10 to the power of 8 space straight m divided by straight s end style