Coherence and Young's Double-Slit Fringes · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Two slits that paint with light

Science · Waves, Light & Sound · ages 16-18
Name ______________________   Date ____________
  1. A bright fringe sits where the path difference is a whole number of wavelengths.

    Circle one:   True   False

  2. What does coherent mean?

    • Same frequency with a fixed phase link
    • Same brightness with random phases
    • Same colour with different speeds
  3. In w equals lambda D over s, what is s?

    • The screen distance
    • The slit separation
    • The wavelength
  4. Fringes are 0.006 m apart with slit gap 0.001 m and screen 2 m away. Lambda equals w s over D. Give lambda in metres.

    Answer: ______________

  5. The slit gap doubles with all else fixed. What happens to fringe spacing?

    • It halves
    • It doubles
    • It stays the same
  6. Where do two waves cancel on the screen?

    • Where the paths are exactly equal
    • Where the path gap is half a wavelength
    • Where both slits are widest
  7. A pupil lights each slit with its own bulb and expects fringes. What is wrong?

    • Slits must be lit from the sides
    • Bulbs are too dim for screens
    • Separate bulbs fire at random, so no fixed phase link holds
  8. A red laser is swapped for blue with all else fixed. What happens to the fringes?

    • They squeeze together
    • They spread wider
    • They vanish
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Two slits that paint with light W1-mt_mONvXhPmwq-s1

  1. True · Whole gaps arrive in phase, crest to crest.
  2. Same frequency with a fixed phase link · Coherent waves hold their phase relationship over time.
  3. The slit separation · Lowercase s is the gap between the two slits.
  4. 0.000003 · Multiply 0.006 by 0.001 and divide by 2 to get 0.000003.
  5. It halves · Spacing goes as one over s, so doubling s halves w.
  6. Where the path gap is half a wavelength · Half wavelength gaps arrive in antiphase and cancel dark.
  7. Separate bulbs fire at random, so no fixed phase link holds · Without one parent wave the sources are incoherent and fringes wash out.
  8. They squeeze together · Blue has a shorter wavelength, so the pattern shrinks.
Worksheet · LightMySky