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Theme C — Wave Behaviour

C.3 Wave Phenomena — IB Physics SL Revision Notes & Topical Questions

5 min read 10 parts Lesson 13 of 31 1 quiz

📚 IB Physics SL Hub / Topical Revision
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Curriculum Equation Key قوانين الرقم الهيدروجيني والاتزان الأيوني - pH & Acid-Base Equilibrium FormulasFast Exam Solution
pH = -log[H⁺] | pOH = -log[OH⁻] | pH + pOH = 14 | [H⁺][OH⁻] = 10⁻¹⁴
Word Equation & Conditions: الرقم الهيدروجيني = -لوغاريتم تركيز أيون الهيدروجين | pH + pOH = 14
Location & Specifications: الاتزان الأيوني، كيمياء 3 ثانوي، التحصيلي، و AP Chemistry.
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Lesson summary

C.3 Wave Phenomena — IB PHYSICS SL notes: Describe reflection, refraction, diffraction and superposition of waves, apply Snell's law and the critical angle, and analyse double-slit interference.Wavefront — a line or surface joining points in phaseRay — a line perpendicular to the…

  • At a boundary
  • Law of reflection
  • Refractive index
  • What the symbols mean
  • Total internal reflection
  • Application

Part 1 of 8Wavefronts and rays

Wavefront
  • Wavefront a line or surface joining points in phase
Ray
  • Ray a line perpendicular to the wavefronts showing the direction of energy transfer
Use
  • Use wavefronts and rays describe waves in two and three dimensions

Part 2 of 8Reflection and transmission

At a boundary
  • At a boundary part of the wave is reflected and part is transmitted
Law of reflection
  • Law of reflection the angle of incidence equals the angle of reflection
Angles
  • Angles they are measured from the normal

Part 3 of 8Refraction

Cause
  • Cause a change of speed at a boundary changes the wavelength and, for oblique incidence, the direction
Refractive index
  • Refractive index n = c/v
    What the symbols mean: n = refractive index (no unit) · c = speed of light in a vacuum (3.00 × 108 m s−1) · v = speed of light in the material (m s−1)
Snell's law
  • Snell's law n1 sin θ1 = n2 sin θ2,
  • so n1/n2 = sin θ2/sin θ1 = v2/v1
    What the symbols mean: n = refractive index (no unit) · i or θ1 = angle of incidence · r or θ2 = angle of refraction
    • (both measured from the normal)
Direction
  • Direction light bends towards the normal on entering a medium where it travels more slowly
Frequency
  • Frequency it is unchanged

Part 4 of 8Critical angle and total internal reflection

Critical angle and total internal reflection
Critical angle
  • Critical angle for light going from higher to lower refractive index, the angle of refraction reaches 90° at the critical angle
  • sin θc = n2/n1.
Total internal reflection
  • Total internal reflection light in the denser medium meeting the boundary at more than the critical angle is not transmitted
Application
  • Application optical fibres

Part 5 of 8Diffraction

Diffraction
  • Diffraction the spreading of a wave through an aperture or round an obstacle
Size of gap
  • Size of gap it is greatest when the gap is comparable to the wavelength
What changes
  • What changes only the direction of the energy spread changes
  • Wavelength, frequency and speed are unchanged.
Spreading
  • Spreading a narrower slit or longer wavelength gives more spreading

Part 6 of 8Superposition and coherence

Superposition
  • Superposition the resultant displacement is the sum of the individual displacements
Coherent sources
  • Coherent sources a steady interference pattern needs a constant phase difference, so the same frequency

Part 7 of 8Path difference

1Constructive interference
  • Constructive interference sources in phase give maximum amplitude when path difference = nλ
2Destructive interference
  • Destructive interference sources in phase give minimum amplitude when path difference = (n + ½)λ
FeatureConstructiveDestructive
Path difference (sources in phase)nλ(n + ½)λ
Phase difference0, 2π, 4π …π, 3π …
Resultant amplitudeMaximumMinimum
Light patternBright fringeDark fringe

Part 8 of 8Young's double slit

Set-up
  • Set-up monochromatic light through two slits of separation d gives equally spaced bright and dark fringes on a screen at distance D
Fringe spacing
  • Fringe spacing s = λD/d, valid for D much greater than d
1
One source illuminates two narrow slits, making them coherent.
2
Each slit diffracts the light so the two beams overlap.
3
Where the path difference is a whole number of wavelengths, bright fringes form.
4
Where it is an odd number of half-wavelengths, dark fringes form.
5
Measure several fringe spacings and divide to reduce the uncertainty.

Key terms

TermMeaning
WavefrontA surface joining points on a wave that are in phase.
RayA line showing the direction of energy transfer, perpendicular to wavefronts.
Refractive indexThe ratio of the speed of light in a vacuum to its speed in the medium.
Critical angleThe angle of incidence in the denser medium for which the angle of refraction is 90°.
DiffractionThe spreading of a wave as it passes through an aperture or round an obstacle.
SuperpositionThe addition of the displacements of two or more waves at a point.
Coherent sourcesSources with a constant phase difference.
Path differenceThe difference in distance travelled by two waves from their sources to a point.

Avoid these mistakes

Avoid these mistakes
Saying refraction changes frequency — it changes speed and wavelength only.
Applying total internal reflection from the less dense to the denser medium.
Saying diffraction changes the wavelength of the wave.

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