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
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.
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/vWhat 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/v1What 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
| Feature | Constructive | Destructive |
|---|---|---|
| Path difference (sources in phase) | nλ | (n + ½)λ |
| Phase difference | 0, 2π, 4π … | π, 3π … |
| Resultant amplitude | Maximum | Minimum |
| Light pattern | Bright fringe | Dark 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
| Term | Meaning |
|---|---|
| Wavefront | A surface joining points on a wave that are in phase. |
| Ray | A line showing the direction of energy transfer, perpendicular to wavefronts. |
| Refractive index | The ratio of the speed of light in a vacuum to its speed in the medium. |
| Critical angle | The angle of incidence in the denser medium for which the angle of refraction is 90°. |
| Diffraction | The spreading of a wave as it passes through an aperture or round an obstacle. |
| Superposition | The addition of the displacements of two or more waves at a point. |
| Coherent sources | Sources with a constant phase difference. |
| Path difference | The 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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