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Plane mirror imaging

Required: same-size upright virtual image with v = u; drag to see symmetry.

Light phenomenaReflection, intro refraction, mirrors and lenses.

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Plane mirror imaging

Required lab「Plane mirror imaging」: the image is symmetric about the mirror — same size, upright, virtual, with v = u. On a realistic 3D glass-plate bench, move the candle, construct reflected rays and extensions, and use the verify candle like the curriculum lab.

Memory cue: same size · upright · virtual · v = u (mirror symmetry).

Key formulas

  • v = u
  • h′ = h (upright virtual)

How to use

  1. Read the core facts: same size, upright, virtual, v = u.
  2. Orbit the bench and use the sidebar sliders; watch the image and readouts.
  3. Enable incident/reflected rays and extensions; toggle the verify candle for the curriculum check.

Read next

Related knowledge

Read concepts → curriculum lab → conclusions & principle → construction & apps → pitfalls — and check v = u with the verify candle on the 3D glass-plate bench.

Mind map

1. Core concepts

A plane mirror has a flat, smooth reflecting surface — dressing mirrors, still water, and polished metal plates. Plane-mirror imaging is based on the reflection of light.

  • Real image: formed where actual rays converge; can be caught on a screen.
  • Virtual image: cannot be caught on a screen; seen only by the eye. Plane mirrors form virtual images.

2. Core lab: exploring plane-mirror imaging

A curriculum-required optics lab. Goal: how image position and size relate to the object’s position and size.

Kit: two identical candles (or matching objects), a glass plate, stand, white/grid paper, screen, ruler, and matches.

Key tip: a glass plate replaces a mirror because it both reflects (to form an image) and transmits light, so you can locate the image.

  • Suggested table: trial | u (cm) | v (cm) | size relation (image vs object).
  1. Set up: lay paper on a level table and mount the glass plate vertically on it.
  2. Locate the image: light a candle in front; move an unlit matching candle behind until it coincides with the image — that is the image position.
  3. Check that it is virtual: place a screen at the image location and look without looking through the plate — no image appears.
  4. Record & measure: mark object, plate, and image; draw the object–image line and measure distances to the plate.
  5. Change object distance and repeat: move the lit candle and record several trials.

3. Conclusions (imaging facts)

Experiments also support the symmetry statement: the image and object are mirror-symmetric about the plane.

  • Nature: the image is virtual.
  • Size: same as the object (independent of object distance).
  • Distance: image distance equals object distance (v = u).
  • Symmetry: object and image are mirror images; the joining line is perpendicular to the mirror.

4. Principle — why the image is virtual

Source S emits in all directions; some reflected rays enter the eye. From the habit that light travels in straight lines, we perceive the rays as coming from S′, where their backward extensions meet — the image of S.

There is no real source at S′ behind the mirror; the light does not actually come from S′, so S′ is called a virtual image.

5. Locating the image by construction

Using mirror symmetry, construct the image as follows:

  1. From a point A on the object, drop a perpendicular to the mirror MN; foot O.
  2. Extend AO to A′ with OA = OA′; A′ is the image of A.
  3. Repeat for other points and join the image points with dashed lines (dashes mark a virtual image).
  • v = uImage distance equals object distance; ray construction with i = r also meets at the image.

6. Applications

  • Daily life: dressing mirrors, dance studios, shops that look larger.
  • Medicine: dental inspection mirrors.
  • Military: periscopes (two plane mirrors at 45° to the horizontal).
  • Energy: heliostat fields reflecting sunlight onto a tower.
  • Tech: kaleidoscopes and laser cavity mirrors.

7. Pitfalls & exam habits

  • Why a glass plate: reflects to form an image and transmits light so you can locate it.
  • Two identical candles: to compare size (coincidence ⇒ same size).
  • Size does not change with distance: the image stays the same size as the object.
  • Example: 1 m from the mirror → 2 m person-to-image; step back 0.5 m → 3 m apart; image height unchanged.
  • A 1.68 m person 3 m from the mirror: person–image = 6 m, image height 1.68 m; moving farther does not change size.
  • Eye charts via a mirror: distance to the chart’s image = chart-to-mirror + person-to-mirror (use the given numbers).

8. Extension: spherical mirrors

Spherical mirrors are concave (inner surface) or convex (outer surface).

  • Concave: converges light — solar cookers, flashlight reflectors.
  • Convex: diverges light — car rear-view mirrors, road bend mirrors (wider field).

Applications

  • Dressing mirrors, dental mirrors, and flat rear-view sections show virtual images.
  • Labs use plane mirrors as symmetry references for alignment.

FAQ

Is the image real or virtual?

Virtual — extensions of reflected rays meet. You see it by looking into the reflections; a screen behind the mirror cannot catch it.

Why must v equal u?

Plane-mirror imaging is mirror symmetry: the perpendicular distance from object to mirror equals that from image to mirror.

What is the verify candle for?

In the glass-plate lab, an unlit matching candle at the image coincides with the object candle — confirming same size, upright orientation, and v = u.

Can a screen catch a plane-mirror image?

No — it is upright, same-size, and virtual.

How are image and object distances related?

v = u; object and image are symmetric about the mirror.

Try the lab