Determine the speed of light in a diamond if the refractive index of the diamond with respect to vacuum is 2.42. The speed of light in a vacuum is 3×10* m/s.

Question :Determine the speed of light in a diamond if the refractive index of the diamond with respect to vacuum is 2.42. The speed of light in a vacuum is 3×10* m/s.

The correct answer is -Given: Refractive index of diamond with respect to vacuum (n) = 2.42 Speed of light in vacuum (c) = 3 x 10^8 m/s

To find: Speed of light in diamond

We know that the speed of light in a medium is given by:

v = c/n

where v is the speed of light in the medium and n is the refractive index of the medium with respect to vacuum.

Substituting the given values, we get:

v = c/n v = (3 x 10^8 m/s)/2.42 v = 1.24 x 10^8 m/s

Therefore, the speed of light in a diamond is 1.24 x 10^8 m/s.