Understanding Refraction
When light passes from one medium to another (like water to diamond), it changes direction. This bending of light is called refraction. The amount of bending depends on the refractive indices of the two media and the angle of incidence.
Snell's Law
Snell's Law describes the relationship between the angles of incidence and refraction:
n₁ * sin(θ₁) = n₂ * sin(θ₂)
where:
* n₁ is the refractive index of the first medium (water)
* θ₁ is the angle of incidence (45°)
* n₂ is the refractive index of the second medium (diamond)
* θ₂ is the angle of refraction
Calculations
1. Plug in the values:
1.333 * sin(45°) = 2.419 * sin(θ₂)
2. Solve for θ₂:
sin(θ₂) = (1.333 * sin(45°)) / 2.419
θ₂ = arcsin[(1.333 * sin(45°)) / 2.419] ≈ 24.4°
Conclusion
The light ray will bend towards the normal (an imaginary line perpendicular to the surface) as it enters the diamond. The angle of refraction will be approximately 24.4°.
Key Points:
* Since the refractive index of diamond is higher than that of water, the light ray bends towards the normal.
* The angle of refraction is smaller than the angle of incidence.
* This phenomenon is why diamonds sparkle – light entering a diamond is internally reflected many times, creating a dazzling effect.
