4.4 - Waves Flashcards
What is a wave?
The transfer of energy (not matter)
They are formed when a source produces a disturbance eg:
• a continuous vibration
• sudden single movement
• a pulse
What is a progressive wave?
- an oscillation that travels through matter or vacuum
* transfers energy from one place to another, but does not transfer matter
What happens to particles in a medium when a progressive wave passes through?
- they move from their equilibrium position to a new position
- the particles exert forces on each other
- a displaced particle experiences a restoring force from its neighbours and is pulled back to its original position
What are transverse waves?
Oscillations of particles are perpendicular to the direction of energy transfer
Peaks and troughs are where the oscillating particles are at a maximum displacement from their equilibrium position
Eg:
• waves on surface of water
• EM waves
• S-waves from earthquakes
What are longitudinal waves?
Oscillations of particles are parallel to the direction of energy transfer.
Compressions and rarefactions are formed when they travel through a medium
Eg:
• sound waves
• P-waves from earthquakes
What is displacement?
Distance any part of a wave has moved from the equilibrium position in a particular direction
A vector, so can have a positive or negative direction
Symbol = s Unit = metres (m)
What is amplitude?
The maximum displacement from equilibrium
Can be positive or negative
Symbol = A Unit = metres (m)
What is wavelength?
Minimum distance between 2 points in phase on adjacent waves
Eg from peak to peak, compression to compression
Symbol = λ Unit = metres (m)
What is a time period?
Aka period of oscillation
The time taken for one oscillation/one wave to move one whole wavelength pasta given point
Symbol = T Unit = seconds (s)
What is frequency?
The number of oscillations per unit time at any point
Symbol = f Unit = Hz
What is wave speed?
Distance travelled by the wave per unit time
Symbol = v (c is light) Unit = metres per second (ms^-1)
What is phase difference?
The fraction of a cycle between waves/oscillations of points on a wave
Measures in degrees/radians
1 wavelength = 360º or 2π radians
What is the wave equation?
v = fλ
v = wavespeed f = frequency λ = wavelength
How is the wave equation derived?
v = s/t
From the definition of a period, in 1 second:
t = T
s = 1λ
v = λ/T
T = 1/f
v = fλ
What is the relationship between period and frequency?
f = 1/T
Frequency is the inverse of period
What is a wave profile?
A graph showing the displacement of the particles in a wave against the distance along the wave
What does it mean if particles are in phase?
- when particles are oscillating perfectly in step with each other
- eg they both reach their maximum positive displacement at the same time
- they have a phase difference of a multiple of 2π (0, 2π, 4π etc)
- can have different amplitudes, but must have the same frequency
What does antiphase mean?
Particles oscillating completely out of step with each other (one reaches its maximum positive displacement when the other reaches its maximum negative displacement)
Have a phase difference multiples of π (π, 3π, 5π etc)
What is path difference?
The difference in the distance travelled by two waves from the source to a specific point
Measured in metres or fractions of a wavelength
On a wave profile, what value does the distance between 2 peaks represent?
Wavelength (λ)
Can also be measured using a trough and a trough, or any point and its corresponding point on another wave
On a displacement-time graph, what value does the maximum displacement represent?
Amplitude (A)
Upwards = positive displacement, downwards = negative displacement
On a graph with time on the x-axis and displacement on the y-axis, what value does the distance between 2 peaks represent?
The time period (T)
What is reflection?
The change in direction of a wave at a boundary between 2 different media, so that the wave remains in the original medium.
Eg light reflecting off a mirrored surface
What is the law of reflection?
The angle of incidence is equal to the angle of reflection.
Note: angles are measured from the normal
What effect does reflection have on the wavelength and frequency of a wave?
No effect - the stay the same
What is refraction?
The change in direction of a wave as it changes speed when it passes from one medium to another (of different density)
How does speed affect how a wave refracts?
- if a wave speeds up, it’ll refract AWAY from the normal
* if a wave slows down, it’ll refract TOWARDS the normal
How do light and sound waves refract?
LIGHT
• when entering a denser medium, EM waves slow down and refract towards the normal
• when entering a less dense medium, EM waves speed up and refract away from the normal
SOUND
• when entering a denser medium, sound waves speed up and refract away the normal
• when entering a less dense medium, sound waves slow down and refract towards the normal
What effect does reflection have on the wavelength and frequency of a wave?
• frequency remains the same
- if the wave slows down, wavelength becomes shorter
- if the wave speeds up, wavelength becomes longer
What is diffraction?
The phenomenon in which waves passing through a gap or around an obstacle spread out.
What effect does diffraction have on the properties of a wave?
No effect - speed, frequency and wavelength all remain the same
How much does a wave diffract by?
- it depends on the relative sizes of the wavelength and the gap/obstacle
- diffraction effects become most significant when the size of the gap/obstacle is around the same as the wavelength
What is polarisation?
The phenomenon in which a transverse wave only has oscillations in one direction
What does unpolarised mean?
When oscillations of a transverse wave occur in many different directions
What does plane polarised mean?
When oscillations of a transverse wave are limited to only one plane