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electric field equation -
volts / meter
frequency equation -
speed of light / wavelength
Constructive interference =
waves add = in phase = 0° or 360°; peaks + peaks
Destructive interference =
waves cancel (moving in opposite directions)= out of phase by half a cycle = 180°; peaks + troughs
The tone with the shortest period has the
shortest wavelength

the time it takes for one complete cycle, oscillation, or wavelength to pass a fixed point
period
Period (T) =
time for ONE full cycle to pass a point
harmonic relationships:
1 harmonic: frequency ? period?
2 harmonic:
3 harmonic: frequency ? period?
1 harmonic- lowest frequency, highest period
3 harmonic- highest frequency, lowest period
if frequency doubles what happens to period?
it doubles
If a wave has frequency = 5 Hz
What is the period?
period (T) = 1/f
Answer: 1/5
If the first harmonic has a frequency of 100 Hz, then what would be the frequency of the second harmonic
200 Hz
Each wave =
harmonic

decipher this graph
the first harmonic is the smooth one, which has the longest wavelength, but shortest frequency
the 2nd harmonic is the one that has slight breaks in it
the third harmonic is the one with a bunch of dotted lines and as the shortest wavelength, but highest frequency
_____ - how many wiggles
_____ - how fast cycles repeat
_____ - how tall the wave is
frequency, period, amplitude
Doppler effect depends on:
relative velocity (how fast they are moving apart (or together)
in terms of the doppler effect
moving toward each other would cause what to happen
frequency to decrease
in terms of the doppler effect
moving away from each other would cuase whwat to happen
frequency to decrease
The velocity of sound is_____ than that of electromagnetic radiation,
much smaller
A receiver is in a jet flying alongside another jet that is emitting 2.0 x 106 Hz radio waves. If the jets fly at 268 m/s, what is the change in frequency detected at the receiver?
how would i figure out this answer?
the jets are flying at the same speed so there is no frequency shift
The floating ice cube implies that its
weight is balanced by the buoyant force on it
pressure equation
P = density x gravity x depth
Law of Reflection:
angle of incidence = angle of reflection
When light reflects off a surface…
How are θ and θ′ related?
they are equal; θ = θ’
If light hits a mirror at 30°, what angle does it reflect at?
30 degrees
what is the assume index of refraction of air
1

what direction is the incidence moving in this and what does it tell us
lower incidence (air) to higher incidence (medium) which means it bends toward normal and is bigger then the incidence angle (a)
Incident ray =
incoming ray
describe reflection
θ - angle of incidence
θ' - angle of reflection
θ' = θ
if problem goes from lower incidence to higher incidence, then light is going into a denser medium and it bends towards normal. and θ is greater then a.
what is the movement of ELECTRONS
cathode → anode
in electrochemistry cells like galvanic or electrolytic cell how to ions move
from anode → cathode
electric force equation:
F = qE
q = charge of particles
E = electric field
If you insert a dielectric what happens to ε
in increases and so does capacitance
capacitance equation
C = eA/D
e is constant in a vacuum
A - area of plates
D - distance between plates
What is the acceleration of this particle due to the electric field?
what equations would you pull out from this equation?
F = ma. and electric field force; F = qE (q - charge, E - electric field)
note the different types of capacitators
in series; 1/C1 (capacitance decreases)
in parallel: C1 + C2 + C3…
potential energy of an oscillatory motion or spring
½kx2
x = displacement (change in objects position)
how would you do 107/109
7 - 9 = 10-2
what is the conservation of energy.
potential energy is converted into kinetic energy
For a pipe closed at one end, which n values are allowed?
only odd numbers
if order for something to do a different amount of work it would have to
experience a change in magnitude
log10(x)=12
means
x = 1012
every 10 dB increase means
10 x more intensity
work formula
Work →
adds energy → potential → kinetic
What is the shortcut formula for maximum height when something is launched straight upward with speed vvv?
v2 / (2g) . because you set PE = KE
if something is thrown, at the top of the motion, what are:
KE =
PE =
Ke = 0, PE = maximum height. KE = PE when launched
a doppler effect can only occur when
something is moving
The focal length of the mirror depends only on
the radius of the curvature
If velocity = 0 what would this mean about frequency
since there is no motion, there is no frequency shift and frequency = 0
The focal point is:
the place where parallel rays meet (converging) or appear to come from ( diverging)
focal point of converging =
real point
focal point of diverging lens=
virtual point behind the mirror
Focal length =
distance from mirror → focal point
focal length equation
f = r/2
r = radius
Flatter mirror → bigger R
a mirror becoming more curved does what to the radius
decreases it
When light goes from air (low density) → glass (high density) how does light bend
to the normal
snells law :
n1 sin θ1 = n2 sin θ2
n=index of refraction
θ= angle of incidence
Diverging lens:
light rays spread out, convex mirrors, virtual image
Converging lens:
light rays come together, concave mirrors, real image
Ohms Law :
I = V/R
As charge increases, voltage across capacitors
increases
When a capacitor is fully charged: What is the current?
0 (a fully charged capacitor acts like an open circuit)
during the discharge phase what is happening
the capacitor is losing charge and voltage is decreasing
resistance equation
R = V/I
pressure equation
pressure = density x gravity x height
to find doppler effect what do you need
emitted frequency, observed frequency, and speed of sound
If the index of refraction increased A LOT, wha twould happen?
the image would move more
Higher n →
more bending → image moves more
lower n →
less bending → image moves less (closer to original)
A magnetic field only affects:
charged particles
what is the charge of alpha decay
positive
What determines how much a particle bends in a magnetic field?
Charge-to-mass ratio q/m.
beta bends the most because it has the smallest mass
what is the charge of beta decay
B- = electron = -1
dividing two densities gives you what
the density below the surface ONLY , it is not the distance above the surface
list all the decays
alpha - atomic mass decreases by 4 and atomic number decreases by 2
beta minus decay - moves right on periodic table
beta plus decay- moves left on perioidic table
gamma decay - no change, just a release of electrons