the angle of incidence in a glass block experiment was 35. what is the angle of refraction if the refractive index of the glass is 1.55?
To find the angle of refraction in a glass block experiment, you can use Snell's law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two media involved.
Here's how you can calculate the angle of refraction:
1. Identify the given values:
- Angle of incidence: 35 degrees
- Refractive index of the glass: 1.55
2. Convert the angle of incidence to radians:
- Angle in radians = Angle in degrees * (π/180)
- Angle in radians = 35 * (π/180)
3. Apply Snell's law:
- n₁ * sin(θ₁) = n₂ * sin(θ₂)
where n₁ is the refractive index of the first medium (air/vacuum) and n₂ is the refractive index of the second medium (glass).
- Rearrange the equation to solve for the angle of refraction:
θ₂ = arcsin((n₁/n₂) * sin(θ₁))
4. Substitute the given values into the equation:
- θ₂ = arcsin((1/1.55) * sin(35 * (π/180)))
5. Calculate the angle of refraction using a scientific calculator or software:
- θ₂ ≈ 22.6 degrees
Therefore, the angle of refraction in the glass block experiment, when the angle of incidence is 35 degrees and the refractive index of the glass is 1.55, is approximately 22.6 degrees.