Chapter 5 Waves Flashcards
Define amplitude
A wave’s maximum displacement from the equilibrium position
Define frequency
The number of complete oscillations passing through a point per second
Define period
The time taken for one full oscillation
Define wave speed
The distance travelled by the wave per unit time
Define wavelength
The length of one whole oscillation - the distance between a point on the wave and the same point on the following one
What is the wave equation?
- v = fλ
- wave speed = frequency x wavelength
Describe a longitudinal wave and what they are made up of.
The oscillation of particles is parallel to the direction of energy transfer. They are made up of compressions (high pressure regions) and rarefactions (low pressure regions). They cant travel in a vacuum
Which direction are particles moving in a longitudinal wave?
Particles are always trying to move to the nearest compression and so move away from rarefactions
Describe a transverse wave.
- The oscillation of particles is perpendicular to the direction of energy transfer.
- All EM waves are transverse and travel at 3x10^8 ms-1 in a vacuum
What can displacement-distance graphs of waves tell you?
You can calculate the wavelength
What can you calculate from a displacement-time graph of a wave?
The time period
Define a wave’s phase.
- The phase of a point on a wave relative to the origin can be defined as the fraction of the wave cycle that has elapsed since the origin
- The position of a certain point on a wave cycle. Can be measured in degrees, radians or fraction of a cycle
Define phase difference.
How much a particle / wave lags behind another. Same units as phase
Define path difference
The difference in the distance travelled by two waves
Define superposition
Where the displacements of two waves are combined as they pass each other. The resultant displacement is the vector sum of each wave’s displacement
Define coherence
Coherent waves must have the same frequency and wavelength and a fixed phase difference
Define wavefront
A surface / line connecting points on a wave that have the same phase
What are the two types of interference?
- Constructive interference: occurs when the waves are in phase and so their displacements are added
- Destructive interference: occurs when the waves are completely out of phase and so their displacements are subtracted
When are two waves in phase?
Two waves are in phase if they are both at the same point of the wave cycle: the same frequency and wavelength.Their phase difference is a multiple of 360 degrees / 2pi
What is a progressive wave?
One that transfers energy from one point to another without any transfer of matter
What is a standing wave?
A wave that stores energy rather than trasnferring it from one place to another
What is path difference a measure of?
Path difference is a measure of how far ahead one wave is compared to another
What is a wave’s phase?
A wave’s phase at a given point is a measure of how far through its cycle the wave is. It is usually measured in radians, where a complete cycle is 2pi
What happens when two waves meet in phase?
They will undergo constructive interference
What happens when two waves meet in antiphase?
They will undergo destructive interference
How is a standing wave formed on a string?
A wave reflects from a closed end meaning two identical waves are travelling in opposite directions down the same string
- At points where the waves meet in phase, constructive interference occurs and an antinode is formed
- At points where the waves meet in antiphase, destructive interference occurs and a node is formed
What is a node?
A point of minimum displacement - there is no movement from the equilibrium position
What is an antinode?
A point of maximum displacement
What two factors does the speed of a transverse waves on a string depend on?
- Tension
- Mass per unit length of the string
State the equation used to calculate the speed of a transverse wave on a string
v = sqrt(T/μ)
State the equation used to calculate intensity
I = P / A
Intensity = Power / Area
What is the refractive index of a material through which light travels a speed of ‘v’ ?
n = c/v = sin(i) / sin(r)
where c is the speed of light in a vacuum
i is the angle of incidence, r is the angle of refraction
State the equation linking the refractive indexes and angles at an interface between two mediums
n1 sin θ1= n2sinθ2
What is the critical angle?
The angle of incidence for which the angle of refraction is 90 degrees and all the light passes along the boundary between the mediums. Beyond this angle all light will be reflected
State the equation used to calculate a critical angle
sin C = 1/n
(if in air)
What is total internal reflection?
Total internal reflection is where all the light is reflectde back at the boundary between two mediums. It occurs when light is incident at an angle greater than the critical angle
What is the focal point of a converging lens?
The single point where all the parallel rays of light entering the lens converge to
What is the focal length of a lens?
The distance between the lens and the focal point
What is the equation used to calculate the power of a lens?
Power = 1 / focal length
How do you calculate the total power of a combination of thin lenses?
P = P1+P2+P3+…
What is a real image?
One that can be projected onto a screen and is always inverted. Real images are the consequence of light meeting at a focal point
What is a virtual image?
virtual images are the consequences of rays of light appearing to meet at a point. They cannot be projected onto a screen