Answer :
Final answer:
The angle of refraction when a ray of light travels from air into crown glass at an angle of 30 degrees is approximately 30.9 degrees.
Explanation:
To find the angle of refraction, we can use Snell's law:
n1sin(θ1) = n2sin(θ2)
Where:
- n1 is the refractive index of the incident medium (air)
- θ1 is the angle of incidence
- n2 is the refractive index of the refractive medium (crown glass)
- θ2 is the angle of refraction (what we need to find)
Given:
- n1 = 1 (refractive index of air)
- θ1 = 30 degrees (angle of incidence)
- n2 = 1.532 (refractive index of crown glass)
Substituting the given values into Snell's law:
1 * sin(30) = 1.532 * sin(θ2)
Simplifying the equation:
sin(θ2) = (1 * sin(30)) / 1.532
sin(θ2) = 0.5179
Taking the inverse sine of both sides:
θ2 = sin-1(0.5179)
θ2 = 30.9 degrees
Therefore, the angle of refraction is approximately 30.9 degrees.
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