Physic Labs

Optics

Plane mirrors

Verify the law of reflection i=i′i = i' for each incident ray and confirm that a plane mirror forms a virtual image symmetric to the object about the mirror plane, same size and reversed in depth.

Middle school

Equipment

  • Plane mirror with a point object and the normal drawn
  • “Incident angle” slider for the incoming ray
  • Rotatable 3D figures showing incident, reflected and virtual rays
  • Second diagram emphasizing the symmetric image position

Procedure

  1. Measure the incident and reflected angles

    Drag the “Incident angle” slider from 5° to 80°: at each setting compare the reflected ray's angle to the normal and check i=i′i = i'. Recall that both angles are measured from the normal at the point of incidence, not from the mirror surface.

  2. Locate the virtual image via ray extensions

    Move to the second figure: watch the backward extensions of the reflected rays meet at one point behind the mirror — the virtual image. Check on the figure that image and object are equidistant from the mirror, so the object–image separation is twice the object–mirror distance.

  3. Distinguish real and virtual images

    Rotate the figure to see the reflected beam entering an observer's eye: the rays diverge as though emitted from the image behind the mirror. State the test for a virtual image — it cannot be projected on a screen — and deduce the “depth reversal” that makes text on a shirt read backwards in the mirror.

Simulation

Experiment history

The law of reflection was already recorded in Euclid's Optics (about 300 BCE): the angle of incidence equals the angle of reflection. Hero of Alexandria (1st century CE) went further, proving that the light path reflecting off a plane mirror is the shortest possible — an early form of an extremum principle. In 1657 Fermat recast the result as the “principle of least time”, from which both reflection and refraction laws follow. The virtual image of a plane mirror was systematized in early-modern geometrical optics and remains the standard example distinguishing real images — where light actually converges — from images existing only along ray extensions.

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