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Critical Angle Calculator

🔍 Light & optics. Use the Critical angle formula to find critical angle, refractive index n: pick the value you want, type the others, and the answer updates as you go.

sin⁡c=1n\sin c = \dfrac{1}{n}
Critical angle41.81 °

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
Critical angle°
Refractive index nno unit

Worked example

Find the critical angle when Refractive index n = 1.5.

Using sin c = 1/n: Critical angle = 41.81 °.

Frequently asked questions

What is the formula for Critical angle?

sin c = 1/n.

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

Critical angle in °, Refractive index n.

How do you calculate critical angle?

Put the values into sin c = 1/n. For example, with Refractive index n = 1.5, critical angle = 41.81 °.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (critical angle, refractive index n) and fill in the others: it rearranges the formula for you.

All physics formulas in the Physics Formulas See it in the Lenses & Light simulation