Find the speed of light in flint glass if the index of refraction is n=1.66. How much slower in percent of speed of light in a vacuum c does the light move in each of this medium?
v=c/n
v=3x10^8m/s/1.66
=1.8x10^8m/s
For the percent of speed of light in a vacuum c. Would it be: 3x10^8-1.8x10^8/3x10^8 *100 = 40%
Is this correct? I'm not to sure about the percent part though.
right on v.
Percent= (speedlight-newspeed)/speedlight * 100
To calculate the percent of the speed of light in a vacuum, we should find the ratio of the speed of light in the medium to the speed of light in a vacuum and then multiply by 100.
The speed of light in flint glass is found to be v = 1.8 x 10^8 m/s.
The speed of light in a vacuum is c = 3 x 10^8 m/s.
To find the percent difference, we can use the formula:
Percent difference = (v - c) / c * 100.
Substituting the values, we have:
Percent difference = (1.8 x 10^8 - 3 x 10^8) / 3 x 10^8 * 100
= (-1.2 x 10^8) / 3 x 10^8 * 100
= -0.4 * 100
= -40%.
So, the light moves 40% slower in flint glass compared to the speed of light in a vacuum.
Your calculation for the speed of light in flint glass is correct, given the index of refraction of 1.66. The speed of light in flint glass is indeed calculated by dividing the speed of light in a vacuum by the index of refraction, as you did: v = c/n.
As for calculating how much slower the light moves in flint glass compared to the speed of light in a vacuum, you can use the following formula:
percent slowdown = ((c - v) / c) * 100
Plugging in the values, we get:
percent slowdown = ((3x10^8 m/s - 1.8x10^8 m/s) / 3x10^8 m/s) * 100
= (1.2x10^8 m/s / 3x10^8 m/s) * 100
= 40%
Therefore, your calculation for the percent slowdown of light in flint glass (compared to the speed of light in a vacuum) is indeed correct. The light moves approximately 40% slower in flint glass.