6+7: Waves and Quantum behaviour Flashcards
Constructive Interference
Crest+crest =big crest
Trough +trough =big trough
Superposition
When two or more waves cross the resultant displacement equals the vector sum of the individual displacements
Destructive interference
Trough+equal sized crest=Nothing
Incomplete destructive interference
Trough+ a different sized crest =not total destructive interference
Waves in phase
Both on same point in the wave cycle
Exactly out of phase
Phasers point in opposite directions, are at 180 degrees to eachother
Waves are coherent if
They have the same wavelength
And frequency and a fixed phase difference between them
Number of wavelengths to be in phase
Whole number of wavelengths difference apart only
Standing wave
The superposition of two progressive waves with the same wavelength moving in opposite directions
Standing waves are different from normal waves because
No energy is transmitted
Nodes
The amplitude of the vibration is zero
Antinodes
Points of maximum amplitude
Lowest possible resonant frequency (fundamental frequency)
One loop- half a wavelength
A node at each end
Second harmonic (first overtone)
Two loops with a node at the centre at at the ends
One wavelength
Third harmonic (second overtone)
1.5 wavelengths
Pipe closed at one end
L= 1/4 wavelength
Node at closed end
Open pipe
Antibodies form at open ends of the pipe
L= 1/2 wavelength
Speed of sound using a resonance tube
Tuning fork(labeled with a frequency) Fill tube with water and find shortest distance that the sound if fork resonates at This is 1/4 wavelength
Use v=fL
A progressive waves amplitude
All points have the same amplitude
Diffraction with a big gap
no diffraction
Diffraction with a medium gap
lines are straight with curved edges, still getting bigger
Diffraction with a small gap
completely curved lines, getting bigger
why you can hear but not see someone round a door
you can’t see someone round a door because the gap is much bigger than its wavelength
You can hear someone because the wavelength is similar to the width of the gap
the narrower the slit
the wider the diffraction pattern
the brightest point of diffraction is
the brightest point of diffraction is where light passes in a straight line from the slit to the screen as all the light that arrives there is in phase
all the other bright spots (other than the brightest)
a constant phase difference, the phasors point in slightly different directions and thus have a smaller resultant
dark fringes
phase difference add to give a resultant of zero
coherent sources
same wavelength and frequency (made with the same oscillator)
to make two coherent sources with light
one laser light (monochromatic as only one wavelength present) source and two equal slits
to find the fringe spaceing you use the equation
wavelength= xd/D
x- fringe spacing
d- spacing between slits
D- distance from slits to screen
what is a diffraction grating
youngs double slit experiment but with many slits
the angle between the incident beam and the nth order maxima is given by
sin@ = nL/d
n- nth order maxima (which line after the center one)
L-wavelength
d- distance between slits on grating
where the diffraction equation comes from
at each slit light is diffracted, each light ray interferes with each other and produce and interference pattern
the larger the wavelength
the more the pattern will spread out
if d is bigger
sin@ i smaller, the coarser the grating the less the pattern will spread out
sin@ >1
impossible
speed of light
3x10^8