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Part 09 · Induction, light and optics · Card 8 of 11

Snell's law

When light crosses between materials its direction bends: n1 sin theta1 = n2 sin theta2.

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Analogy

A car turning when one wheel hits mud first.

Example

Air to glass

1 x sin 30 = 1.5 x sin theta2sin theta2 = 0.333theta2 = 19.5 degrees

In practice

Light entering glass (n = 1.5) from air at 30 degrees bends to about 19.5 degrees.

Practice

Flashcards

  • State Snell's law.n1 sin theta1 = n2 sin theta2.

Interview questions

  • Light enters a glass block at 40 degrees. The glass has refractive index 1.5. Find the angle in the glass and explain total internal reflection.
    • Use Snell's law
    • sin theta2 = sin 40 / 1.5
    • Critical angle for glass to air is 41.8 degrees

Questions people ask

What is the refractive index?

The refractive index n is the ratio of the speed of light in a vacuum to the speed in the material, n = c/v. Water has n of 1.33 and glass about 1.5. A higher n means slower light and more bending toward the normal.

Why does a straw look bent in water?

Light from the part under water bends as it leaves into air, so rays seem to come from a different place. Your brain traces them straight back, making the submerged part look raised and the straw look broken at the surface.