1
Q

Reflection

A

Wave changes direction at the boundary of a medium:

  • moves away from new medium
  • angle of incidence = angle of reflection
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2
Q

Refraction

A

Wave changes direction as it passes between mediums:

  • moves into new medium
  • wavelength and speed change
  • wave bends towards normal when slowing down
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3
Q

Find wave speed

A
Speed = wavelength*frequency
(v = λf)
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4
Q

Polarised waves

A
  • oscillations in only one plane

- only transverse waves

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5
Q

Polarising filter

A
  • filters oscillations into one direction
  • unpolarised&raquo_space; polarised causes a brightness decrease
  • polarised&raquo_space; polarised effect depends on angle of the filters
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6
Q

Result of two parallel polarising filters

A

Same as a single filter

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7
Q

Result of two perpendicular polarising filters

A

Blocks most light

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8
Q

Intensity

A

Radiant power through a surface per unit area

P/A

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9
Q

Find intensity at distance r from a spherical wave source

A
Intensity = power/spherical surface area
(I = P/4πr²)
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10
Q

Relationship between intensity and amplitude

A

Intensity is proportional to amplitude^2

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11
Q

Snell’s law

A

n1sin(i) = n2sin(r)

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12
Q

Find refractive index

A

Refractive index = speed in vacuum/speed in material

n = c/v

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13
Q

Where are angles measured from in reflection and refraction?

A

The normal to the boundary

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14
Q

Snell’s law for critical angle

A

n1*sin(i) = n2

because angle of refraction is 90 so sin(r) = 1

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15
Q

Total internal reflection

A

When angle of incidence is greater than the critical angle, so only reflection happens

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16
Q

Coherent waves

A

Waves with a constant phase difference at their sources

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17
Q

Wave superposition

A

Two waves overlap and resultant displacement = sum of individual displacements

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18
Q

How to form a stationary wave

A

Interference of two progressive waves with:

  • opposite directions
  • same speed
  • same frequency
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19
Q

Nodes of a stationary wave

A

Points with no amplitude (displacement always 0)

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20
Q

Antinodes of a stationary wave

A

Points with max amplitude

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21
Q

Find wavelength using a diffraction pattern

A

Wavelength = slit separation*fringe separation/distance from screen
(nλ = dsinθ
or
nλ = ax/D)

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22
Q

Find wave period

A
Period = 1/frequency
(T = 1/f)
23
Q

Find frequency (using wavelength)

A
Frequency = speed/wavelength
(f = v/λ)
24
Q

Find frequency (using period)

A
Frequency = 1/period
(f = 1/T)
25
Transverse wave
Wave where oscillations are perpendicular to wave direction
26
Longitudinal wave
Wave where oscillations are parallel to wave direction
27
When is diffraction through a gap strongest?
When gap width = wavelength
28
Wavelength range of radio
> 0.1 m
29
Wavelength range of microwaves
1 mm < λ < 0.1 m
30
Wavelength range of infrared
700 nm < λ < 1 mm
31
Wavelength range of light
400 nm < λ < 700 nm
32
Wavelength range of ultraviolet
10 nm < λ < 400 nm
33
Wavelength range of x-rays and gamma rays
< 10 nm
34
Properties of EM radiation
- can be reflected, refracted and diffracted - transverse (so can be polarised) - can travel through a vacuum (at 3 x10^8 m/s)
35
1st order maxima
The set of points in an interference pattern where: - path difference = 1 λ - phase difference = 2π (same as 0) - there is constructive interference - resultant wave with max amplitude is formed
36
1st order minima
The set of points in an interference pattern where: - path difference = 0.5 λ - phase difference = π - there is destructive interference - resultant wave with min amplitude is formed
37
Phase difference
Difference in wave cycle progress between two points on a wave / waves (written as the diff in x value of two sin graphs)
38
Path difference
Difference in the distances of two waves from their own sources (can be measured in regular distance or in wavelengths)
39
Constructive interference
Superposition of two coherent waves in phase to form a resultant wave of maximum amplitude
40
Destructive interference
Superposition of two coherent waves in antiphase to form a resultant wave of minimum (or 0) amplitude
41
Amplitude
A wave's maximum displacement from equilibrium
42
Wave displacement
Distance of a point from equilibrium in a given direction
43
Wavelength
Distance between adjacent peaks of a wave
44
Wave period
Time taken for one wavelength to pass a point | or time taken for a full oscillation at one point
45
Frequency
Number of wavelengths that pass a point per second | or number of full oscillations per second at one point
46
Interference
Superposition of coherent waves
47
Points in phase with each other in progressive vs standing waves
Progressive - points that are one wavelength apart are in phase Standing - all points on the same side of equilibrium are in phase (same wave cycle progress)
48
Energy transfer in progressive vs standing waves
Progressive - energy transferred in wave direction | Standing - no net energy transfer
49
Amplitude in progressive vs standing waves
Progressive - all points have the same amplitude | Standing - amplitude changes along the wave (max at antinodes and 0 at nodes)
50
Fundamental frequency of a taut string / open tube
- frequency of the first standing wave that the string / tube can form (first harmonic) - both ends are nodes for a string - both ends are antinodes in a tube - wavelength is double the string / tube length
51
Harmonics
Standing waves used to make sound in an instrument - frequency is a multiple of the fundamental frequency (odd multiples for closed tubes)
52
Fundamental frequency of a closed tube
- frequency of the first standing wave that the tube can form - open end must be an antinode - closed end must be a node - wavelength is 4x the tube length
53
Wavelength in standing waves
Double the distance between two adjacent nodes