Chapter 7. Waves Flashcards
What is wavelength?
The distance between two consecutive points on a wave.
What is a wavefront?
A line joining points at the same position along a wave.
Define period
The time taken for one complete oscillation.
What is frequency?
The number of oscillations per unit time
frequency,f = 1/period, T
State the wave equation
speed,c = frequency,f x wavelength,
What is dispersion?
This is when different wavelengths travel at different speeds when a wave travels through a medium, the waves separate out
What is amplitude?
The maximum displacement of a particle from rest position
Note
energy is directly proportional to amplitude squared
What is intensity?
The energy per second per square metre(Wm-2)
I = P(power of source, P)/4 pi r2
Note
The distance of the source of a wave is directly proportional to the radius of its circle of influence
Define anti-phase
When waves have exactly opposite phases, phase difference of 180 degrees
Note
Waves with a phase difference of 2pi 4pi radians and so on are in phase so 3pi radians phase difference is actually pi radians phase difference
One full cycle is 360 degrees
What is a transverse wave?
A progressive wave in which the displacement is perpendicular to the velocity of the wave.
What is a longitudinal wave?
A progressive wave in which the displacement is in the same direction as the velocity of the wave.
Note
I(intensity) is directly proportional to amplitude squared
Note
Gamma radiation is emitted by radioactive nuclei, X-rays are produced when high-speed electrons decelerate quickly. High energy X-rays have shorter wavelengths than low-energy gamma rays. Visible light ranges from 400nm(violet light) to 700nm(red light)
Note
Speed of electromagnetic waves through a vacuum is 3.00 x 108ms-1
Note
electromagnetic waves are made of an electric and magnetic field both in phase and 90 degrees to each other and to the direcction of travel
What does it mean when a wave is plane polarised?
The vibrations of the wave are only shown in one plane.
What is a progressive wave?
A wave that transfers energy from one point to the other without transfering matter
Formula for phase difference
distance between two particles / wavelength x 360 degrees
Note
Intensity is directly proportional to amplitude squared
Note
Make sure you understand the time base settings stuff
What is the doppler effect?
The frequency change due to the relative motion between a source of sound and an observer
Note
f0 = fsv/(v-vs) for a source approaching the observer where
f0 is the observed frequency
fs is the frequency of the source
v is the speed of the wave
and vs is the speed of the source
the negative sign changes to a positive for a source moving away from the observer.
Properties of electromagnetic waves
- They are propagated by varying electric and magnetic fields at right angles to each other.
- They can travel through a vacuum.
- They travel with a constant speed of 2.998 x 108 m s-1 in a vacuum. The speed and wavelength change in different media but the frequency remains constant. The wave equation, c = f λ can be applied to find f or λ, if the speed is known.
- They travel in straight lines and obey the inverse square law for intensity.
- They are unaffected by electric and magnetic fields.
- They exhibit the wave properties of: reflection, refraction, diffraction and interference.
- They can be plane polarised because they are transverse.
Orders of magnitude of electromagnetic waves(wavelength in m)
radio waves - >106 to 10-1
microwaves - 10-1 to 10-3
infrared - 10-3 to 7 x 10-7
visible light - 7 x 10-7(red) to 4 x 10-7(violet)
ultraviolet - 4 x 10-7 to 10-8
X-rays - 10-8 to 10-13
gamma rays - 10-10 to 10-16
Wave, Origin, Detection, Uses
Radio - oscillating current in aerials - tuned circuit - communication
Micro - directly produced in wave guides - diodes and wave guide tubes - radar, microwave cooking
infrared - hot bodies, molecular vibrations - thermopile - heating photography
visible light - very hot bodies, filament lamps, electron transitions in outer orbit - eye photography - photo-synthesis
ultraviolet - extremely hot objects, sparks, electron transitions - fluorescence photocell - causes suntan, kills germs
X rays - bombarding metal targets with electrons - Geiger tube, photoelectric effect, photography - causes ionization, fluorescence, X ray photography
γ rays - radioactive decay - Geiger tube - medicine, cancer treatment, tracers
State Malus’s law
The intensity of the transmitted light varies as the square of the cosine of the angle between the two planes of transmission.
IT = I0cos2θ
where
I0 is the intensity of the incident and IT is the transmitted intensity at an angle θ