M3 Waves & Thermodynamics Flashcards
3 Wave Classifications
- Transverse - particles oscillate/vibrate at 90 degrees to the direction of motion of the wave
Longitudinal - particles oscillate/vibrate in the same direction as the direction of the motion of the wave
Complex - combination of longitudinal and transverse motion (particles oscillate in circular/elliptical path) - Mechanical - require a medium for wave to travel through
eg sound, earthquake, water, domino wave, heat conduction, alternating current
Electromagnetic - does not require a medium
eg radio, microwaves, infrared, visible light, ultraviolet, xrays, gamma
* all travel at c
* all EM waves are transverse - Standing/Stationary - combination of two waves moving in opposite directions, each having the same amplitude and frequency. The phenomenon is the result of interference; that is, when waves are superimposed, their energies are either added together or canceled out.
Progressive - A wave which travels continuously in a medium in the same direction without a change in its amplitude
wave
a disturbance that transfers energy from one place to another without any overall movement of matter
direction of propagation
the direction in which a wave travels
Two Types Of Graphs
- Displacement-Distance
provides a “freeze frame” of the wave at a particular moment in time
- used to determine wavelength (measure with a ruler/x-axis)
- used to determine amplitude (measure with y-axis) - Displacement-Time
shows the movement of just one part of the wave over time
- used to determine period (read off x-axis)
- amplitude (read off y-axis)
graphing longitudinal waves
on a D-D graph (since we have to graph a longitudinal wave as a transverse wave) compressions become crests, rarefactions become troughs
reflection
occurs when a wave hits a boundary between two mediums and returns into the medium from which it came
- all types of waves can be reflected
the law of reflection
angle of incidence = angle of reflection
- AoI & AoR measured between the wave (incident and reflected ray) and normal
2 Types of Reflection
Specular: when a wave reflects from a plane surface
- parallel rays reflect in the same direction
- can produce a reflected image
Diffuse: when a wave reflects from a rough surface
- rays are reflected in different directions
- parallel rays reflect in different directions
- cannot produce an image
refraction
a change in wave direction when the wave changes speed (through transition in medium)
- if a wave slows down, bend toward normal
- if a wave speeds up, bend away from normal
diffraction
occurs when a wave encounters an obstacle/aperture
- can results in various patterns being produced in the region behind the obstacle
- diffraction is a property of all waves (one of the reasons why we know light acts like a wave)
- diffraction patterns are closely linked to wave superposition
wave superposition
adding together two or more waves as they pass through each other
constructive interference
when the waves add together to produce a bigger amplitude
destructive interference
when the waves cancel to produce a smaller (or zero) amplitude
standing wave
caused when a wave meets its reflection, producing an oscillating but otherwise stationary wave
- created when 2 progressive waves travelling in different directions superpose
–> so the resultant wave has some points fixed and some points oscillating at max amplitude
- fixed points are called nodes
- points oscillating at max amplitude are antinodes
driving force
any force that adds to the oscillation
resonance
occurs in oscillating systems
- can produce large amplitudes from relatively small driving forces
- if the driving force has the correct frequency, it will cause the system to oscillate with a greater amplitude (the system is resonating)
damping
any forces that reduces the amplitude of an oscillation
natural frequency
the frequency at which a system will naturally oscillate in the absence of any driving or damping forces
driving frequency
the frequency of the force driving the oscillating system (not all systems have a driving force)
you get resonance when
the driving frequency equals the natural frequency
energy transformation and transfer in an oscillating system
- energy in a pendulum oscillates between kinetic and potential
- damping (friction) removes energy (usually to heat) so amplitude of the oscillations will get smaller
- a driving force adds energy back into the system
energy is transferred in a mechanical wave because…
… particle interactions are elastic, so kinetic energy is transferred along with momentum
we see a mirror image of ourselves in a mirror because…
… light rays preserve their order, according to the orientation of our eyes when they reflect off a mirror
parabolas have the property that…
all light rays emanating from the focus will form a parallel beam
sound waves will be refracted in the same medium if…
there is a temperature change within the medium
if a sound wave front enters a denser region in a perpendicular direction
speed and wavelength both change
frequency remains constant
compression:
rarefaction:
(pressure)
region of high pressure
region of low pressure
volume is to
pitch is to
amplitude
frequency
inverse square law
relates wave intensity to distance
- the intensity diminishes with distance because the energy has to spread over a bigger and bigger area
- the intensity is proportional to 1/r^2
examples of reflection
mirrors, sonar, echoes, ultrasound imaging
examples of diffraction
patterns formed from small apertures, rainbow colours on DVDs, sound travelling “around” corners
examples of resonance
playground swing, wine glass breaking, musical instrument
examples of superposition
waves on waves at a beach, human voice
Doppler Effect
caused when a wave source and an observer are moving with respect to each other
- when the source and observer get closer,
the wave crests bunch together & the observer frequency increases - when the source and observer are getting further away,
the wave crests are further away
the observed frequency is lower
Doppler Effect Formula (to remember which is pos and neg)
velocity of observer is POS if it’s moving TOWARDS source
velocity of source is POS if it’s moving TOWARDS the observer
An oscillating system will often have more than one natural frequency
- these natural frequencies are called harmonic frequencies/harmonics
- each harmonic corresponds to a particular wavelength of standing wave that physically fits into the system
- the lowest possible harmonic frequency is the fundamental frequency (the standing wave that has the longest wavelength possible in that system)
there is resonance if…
you have an anti-node at the open end of the pipe
effect of length on frequency (think musical instruments)
the longer the string, the longer the wavelength, the lower the frequency (inversely proportional)
effect of mass on frequency (think musical instruments)
the higher the mass, the lower the frequency (inversely proportional)
effect of tension on frequency (think musical instruments)
the higher the tension, the higher the frequency
effect of wave velocity on frequency (think musical instruments)
any increase in velocity, increase in frequency (v=fλ)
beats
a rhythmic pattern resulting from a cycle of constructive and destructive interference/superposition between two or more waves
(the beat frequency is the difference between the frequencies of the original waves)
refractive index
a measure of how much a wave slows down when it travels through a medium
vacuum is 1
air is 1.0003 (same as vacuum)
water is 1.3
glass is 1.5
diamond is 2.4
Snell’s Law
the angles of incidence and refraction can be calculated with
n₁ sinθ₁ = n₂ sinθ₂
where
n₁ = refractive index of medium 1
n₂ = refractive index of medium 2
θ₁ = angle in medium 1 (angle of incidence)
θ₂ = angle in medium 2 (angle of refraction)
white light
when we view all the colours of visible light mixed together, our eyes and brain interpret it as
dispersion
the phenomenon when white light is shone through a prism, the component colours are refracted by different amounts and separated into a spectrum
- this happens because waves of different wavelengths are slowed down or sped up by different amounts as they travel into a medium
(different frequencies have different indices of refraction in new medium)