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Snell's law
n₁ sin θ₁ = n₂ sin θ₂
Where: n₁ = Snell's law, n₂ = n₂, θ₁ = θ₁, θ₂ = θ₂
Solved example
Given: n_2 = 7, theta_1 = 45°, theta_2 = 60°
Find: n_1 (Snell's law)
- Formula: n₁·sin(θ₁) = n₂·sin(θ₂)
- Rearranged for n₁: n₁ = n₂·sin(θ₂)/sin(θ₁)
- Substitute the values: n₁ = 7·sin(60°)/sin(45°)
- Result: n₁ = 8.573214
Answer: n_1 = 8.573214
Calculator
How to calculate Snell's law
- Write down the formula: n₁ sin θ₁ = n₂ sin θ₂.
- Note the known values (n₂, θ₁, θ₂).
- Substitute them and simplify to find n_1.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Snell's law?
The formula is n₁ sin θ₁ = n₂ sin θ₂, where n₁ = Snell's law, n₂ = n₂, θ₁ = θ₁, θ₂ = θ₂.
What is Snell's law when n_2 = 7, theta_1 = 45°, theta_2 = 60°?
n_1 = 8.573214. Substitute the values into n₁ sin θ₁ = n₂ sin θ₂ and simplify.
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