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Snell’s Law Calculator

🔍 Light & optics. Use the Snell’s law formula to find angle in medium 2, n₁, angle in medium 1, n₂: pick the value you want, type the others, and the answer updates as you go.

n1sin⁡θ1=n2sin⁡θ2n_1\sin\theta_1 = n_2\sin\theta_2
Angle in medium 225.374 °

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Angle in medium 2°
n₁no unit
Angle in medium 1°
n₂no unit

Worked example

Find the angle in medium 2 when n₁ = 1, Angle in medium 1 = 40 °, n₂ = 1.5.

Using n1sinθ1 = n2sinθ2: Angle in medium 2 = 25.374 °.

Frequently asked questions

What is the formula for Snell’s law?

n1sinθ1 = n2sinθ2.

What do the letters stand for, and what units are used?

Angle in medium 2 in °, n₁, Angle in medium 1 in °, n₂.

How do you calculate angle in medium 2?

Put the values into n1sinθ1 = n2sinθ2. For example, with n₁ = 1, Angle in medium 1 = 40 °, n₂ = 1.5, angle in medium 2 = 25.374 °.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (angle in medium 2, n₁, angle in medium 1, n₂) and fill in the others: it rearranges the formula for you.

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