Use Snell's Law.
sin angle incidence = n*sin angle refraction
Post your work if you get stuck.
sin angle incidence = n*sin angle refraction
Post your work if you get stuck.
Given:
Angle of incidence (θ1) = 30 degrees
Index of refraction of air (n1) = 1 (approximate value)
Index of refraction of flint glass (n2) = 1.58
Using Snell's law, we can write the equation as:
sin(θ1) / sin(θ2) = n1 / n2
Plugging in the known values, we have:
sin(30°) / sin(θ2) = 1 / 1.58
Now, we need to solve for the angle of refraction (θ2). Rearranging the equation, we get:
sin(θ2) = sin(30°) * (1.58/1)
To find θ2, we take the inverse sine (or arcsin) of both sides:
θ2 = arcsin(sin(30°) * (1.58/1))
Using a calculator, we can evaluate the expression:
θ2 ≈ 34.94 degrees
Therefore, the angle of refraction is approximately 34.94 degrees.
Snell's Law: n₁sin(θ₁) = n₂sin(θ₂)
Given:
Angle of incidence (θ₁) = 30°
Refractive index of air (n₁) = 1 (approximated)
Refractive index of flint glass (n₂) = 1.58
We know that sin(θ) = sin(θ°), so we can rewrite Snell's law as:
n₁ x sin(θ₁) = n₂ x sin(θ₂)
Plugging in the values:
1 x sin(30°) = 1.58 x sin(θ₂)
Now, we can solve for θ₂ by rearranging the equation:
sin(θ₂) = (1 x sin(30°)) / 1.58
sin(θ₂) = 0.5 / 1.58
θ₂ = arcsin(0.5 / 1.58)
Using a scientific calculator, find the inverse sine (arcsine) of (0.5 / 1.58).
θ₂ ≈ 19.04°
Therefore, the angle of refraction of the sodium yellow light ray when it enters flint glass is approximately 19.04°.