Respuesta :
Answer:
Explanation:
using Snell's law of refraction
n₁ sinθ₁ = n₂ sinθ₂
where n₁ = the indexes of refraction of the material with incident light
n₂ = the indexes of refraction of the material with refracted light
θ₁ = angle of incidence and θ₂ = angle of refraction
for red light
n₁ sinθ₁ = n₂ sinθ₂
1 × sin 58 = n₂ sin37.7
n₂ = ( 1 × sin 58) / sin 37.7° = 1.387 for red light
for violet light
n₁ sinθ₁ = n₂ sinθ₂
1 × sin 58 = n₂ sin36.7
n₂ = ( sin 58 ) / sin36.7 = 1.419 for violet light
the speed of red light can be calculated with formula below
n = c / v where c is the speed of light = 3 × 10 ⁸ m/s and v is the speed of the red light
v = c / v = (3 × 10 ⁸ ) / 1.387 = 2.163 ×10 ⁸ m/s
for violet light
v = ( 3 × 10 ⁸) / 1.419 = 2.11 × 10 ⁸ m/s
Answer:
a) The index of refraction for the red light is 1.39 and the index for the violet light is 1.42
b) The speed of the red light is 2.15x10⁸m/s and the speed of the violet light is 2.11x10⁸m/s
Explanation:
a) Using Snells law:
[tex]n_{1} sin(i)=n_{2} sin(r)n_{2} =\frac{n_{1}sin(i) }{sin(r)}[/tex]
For red light:
[tex]n_{1} sin(i)=n_{2} sin(r)n_{2} =\frac{n_{1}sin(i) }{sin(r)}=\frac{1*sin58}{sin37.7} =1.39[/tex]
For violet light:
[tex]n_{1} sin(i)=n_{2} sin(r)n_{2} =\frac{n_{1}sin(i) }{sin(r)}=\frac{1*sin58}{sin36.7} =1.42[/tex]
b) The speed for the red light is:
[tex]v=\frac{c}{n}[/tex]
Where c is the speed of the light
[tex]v=\frac{3x10^{8} }{1.39} =2.15x10^{8} m/s[/tex]
The speed for the violet light is:
[tex]v=\frac{3x10^{8} }{1.42} =2.11x10^{8} m/s[/tex]
