what is superposition
when waves meet, the resultant displacement = the vector sum of individual displacements
what is phase difference
the difference in phase between two waves that arrive at the same point. (measured in pi)
what must coherent waves have
what is the name of a wave with the same frequency, wavelength and a fixed phase difference.
a coherent wave
if there is a phase difference of a multple of 2pi
the waves are IN-PHASE
waves are out of phase when…
there is a phase difference of an odd multiple of pi, e.g pi, 3pi, 5pi
what happens at a maxima point of two waves
constructive interference
what happens at the point of destructive interference
minima
what is path difference
the difference in distance travelled by two waves from their sources to the point where they meet
e.g a wave travelled 6 wavelengths, one travelled 4. Path difference = 2
what did Young’s double slit experiment prove
the proof the nature of light is a wave
cannot be a particle at it has interference
what is the equation used for the double slit experiment
λ=ax/D
λ=wavelength
a=slit space
x=fringe spaces (distance between maxima)
D= distance
what is the limitation of the equation λ=ax/D
only works when D>a
what is the difference between progressive waves and stationary waves CONSIDERING ENERGY TRANSFER
progressive waves have energy transferred in the direction of the wave
stationary waves have NO net energy transfer
what is the difference between progressive waves and stationary waves CONSIDERING WAVELENGTH
progressive waves have a wavelength with a minimum distance between two adjactent points oscillating in phase **(between two peaks/ compressions) **
stationary waves have a wavelength TWICE the distance between adjacent nodes
what is the phase difference of a progressive wave
the phase changes across one complete cycle of the wave
phase difference for a stationary wave
all parts of the wave between 2 nodes are in phase. on different side of a node, they are in antiphase
what is the difference between progressive waves and stationary waves CONSIDERING AMPLITIUDE
progressive wave: constant amplitude assuming no energy is lost to the surroundings
stationary wave: maximum amplitude at antinode - drops to zero at the node
how many wavelengths for the first harmonic
0.5
what is the fundamental frequency
minimum frequency of a stationary wave for a string
constructive interference
The interference which occurs when two progressive waves arrive in phase at a point resulting in an amplitude which is the sum of the individual wave amplitudes
destructive interference
when two progressive waves arrive in antiphase (180 degree phase difference) at a point producing an amplitude which is the difference between the amplitudes of the individual waves.
antinode
standing wave
The point in a standing wave at which constructive interference occurs. The amplitude at this point is maximum.
node
standing wave
The point in a standing wave at which destructive interference occurs. The amplitude at this point is zero.