Respuesta :
Answer:
80% (Eighty percent)
Explanation:
The material has a refractive index (n) of 1.25
Speed of light in a vacuum (c) is 2.99792458 x 10⁸ m/s
We can find the speed of light in the material (v) using the relationship
n = c/v, similarly
v = c/n
therefore v = 2.99792458 x 10⁸ m/s ÷ (1.25) = 239 833 966 m/s
v = 239 833 966 m/s
Therefore the percentage of the speed of light in a vacuum that is the speed of light in the material can be calculated as
(v/c) × 100 = (1/n) × 100 = (1/1.25) × 100 = 0.8 × 100 = 80%
Therefore speed of light in the material (v) is eighty percent of the speed of light in the vacuum (c)
Answer:
The percentage of speed of light in vacuum to the speed of light in the said material is 80%
Explanation:
The common values of refractive index are between 1 and 2 since nothing can travel faster than the speed of light, therefore, no material has a refractive index lower than 1.
According to the formula [tex]n=\frac{c}{v}[/tex]
where [tex]n[/tex] is the index of refraction
[tex]c[/tex] is the speed of light in vacuum
and [tex]v[/tex] is the speed of light in the material, it can be seen that n and v are inversely proportional which means greater the refractive index lower is the speed of light.
Since we know that speed of light in vacuum is 300,000 km/s using the formula we get,
[tex]v=\frac{c}n}[/tex]
[tex]v=\frac{300000}{1.25}=240,000 km/s[/tex]
for finding percentage,
[tex]=\frac{240000}{300000}*100 = 80[/tex] %
