Common misconceptions

Common mistake
Wrong: Light bends away from the normal when entering a denser medium.
Right: Light bends toward the normal when entering a denser (higher-n) medium and away from the normal when entering a less dense medium.
The bending direction follows directly from what happens to the wavefront speed. When light enters a denser medium, it slows down — the side of the wavefront that hits the interface first slows down first, causing the wavefront to pivot toward the normal. Entering a less dense medium does the opposite: the leading edge speeds up first, pivoting the wavefront away from the normal. A memory anchor: dense medium → bends toward normal (n is higher, angle is smaller, since sinθ = n₁sinθ₁/n₂ and a larger n₂ gives a smaller sinθ₂).
Common mistake
Wrong: The angle of incidence in Snell's law is measured from the surface, not the normal.
Right: All angles in Snell's law and the law of reflection are measured from the normal to the surface.
The normal is an imaginary line perpendicular to the surface at the point of contact — it is not the surface itself. Measuring from the surface gives you 90° minus the correct angle, which means your sines and cosines are swapped and every Snell's law calculation will be wrong. Always draw the normal first, then measure angles relative to it. A ray traveling straight along the normal has an angle of 0°, not 90° — that's your sanity check.
Common mistake
Wrong: Light travels faster in a medium with a higher refractive index.
Right: A higher refractive index means light travels slower in that medium (v = c/n).
The refractive index is defined as n = c/v, so v = c/n. A larger n means you're dividing c by a bigger number, giving a smaller speed. Glass (n ≈ 1.5) slows light to about two-thirds of c; diamond (n ≈ 2.4) slows it even more. Think of n as a 'resistance to propagation' — higher n, slower light, more bending toward the normal. If you ever confuse this, just rederive: n = c/v means n and v are inversely proportional.
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What the exam tests

  1. Know the law of reflection (θi = θr) and Snell's law (n1 sinθ1 = n2 sinθ2) from memory, including what each variable represents and that all angles are measured from the normal to the surface.
  2. Be able to solve Snell's law algebraically — given any three of the four quantities (n1, θ1, n2, θ2), calculate the fourth, and use v = c/n to relate refractive index to wave speed.
  3. Explain the physical mechanism behind refraction: why entering a denser (higher-n) medium slows light and bends it toward the normal, and why entering a less dense medium speeds light up and bends it away from the normal.
  4. Apply Snell's law and refraction principles to passage-based optical systems — such as lens geometry, prism dispersion (why different wavelengths refract at different angles), or total internal reflection in optical fibers — using information given in the passage.

Can you avoid these mistakes?

A ray of light travels from water (n = 1.33) into glass (n = 1.5) at an angle of incidence of 30°. Without a calculator, is the refracted angle greater than, less than, or equal to 30°? Which medium does the ray bend toward or away from the normal, and why?
A student measures the angle of a reflected ray as 40° from the surface of a mirror. What is the angle of incidence as used in the law of reflection, and what error did the student make?
Light travels at 2.0 × 10⁸ m/s in a certain medium. What is the refractive index of that medium? If light then crosses into a medium with n = 1.0 (air), will it bend toward or away from the normal?
An optical fiber works by keeping light trapped inside a glass core through total internal reflection. Using what you know about Snell's law, explain qualitatively why total internal reflection can only occur when light tries to move from a higher-n medium into a lower-n medium, not the other way around.

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