Equations and constants Flashcards
Specific charge
charge (C) /mass (Kg) unit- C/Kg
The energy of a photon
Planck constant (J) * frequency (Hz) unit- Js (joule seconds)
work function
Planck constant * threshold frequency
photoelectric equation
Planck constant * frequency(hz) = work function(j) + KE(max)(j)
stopping potential of an electron
stopping potential * charge of electron = kinetic energy
the equation for the change in energy between energy levels
ΔE=E1-E2=hf (this shows that the change in energy level is exactly equal to the energy of the photon emitted)
de Broglie’s equation for wavelength
wavelength= plank constant / momentum
Frequency (using #oscillations)
oscillations / time(s)
Frequency (using periods)
1 / period(s)
wave speed
frequency(Hz)*wavelength (m) speed in m/s
string tension
mass held(kg) * gravity(m/s^2) tension-N
mass per unit length of a string
mass of string(kg) / length(m)
mass per length in Kg/m
frequency of the first harmonic of a string
(1/ (2*length(m))) * (square root (tension(N)/ mass per unit length(Kg/m))) frequency in Hz
spacing between fringes in the double-slit experiment
(λ*distance from slits to screen)/space between slits
the pattern of a diffraction grating
slit spacing * Sin(angle between the maximum and zero-order line) = λ of incident light * order of the maximum
slit spacing
1/x (x= number of slits per meter)
refractive index
speed of light in a vacuume / speed of light in the material
Snell’s law
starting refractive indexSin(i)=ending refractive indexSin(r)
the equation for the critical angle
Sin (the critical angle) =
the refractive index of the less optically dense material
/
the refractive index of the more optically dense material
moment of a force
force (N) * perpendicular distance from the turning point to the line of action of the force (m)
moment in Nm
moment of a couple
force (N) * perpendicular distance between the lines of action of the two forces (m)
velocity
Δdisplacement / Δtime
average speed/velocity
total distance (or displacement for velocity) / total time
acceleration
Δvelocity / Δtime
S, U, V, A, T equations
v=u+at
s= ((u+v)/2)t
s= (ut) + 1/2(at^2)
v^2= u^2 + 2as
verticle and horizontal components of a projectiles displacement on a trajectory graph
verticle displacement- Total displacement* Sin(θ)
horizontal displacement- Total displacement* Cos(θ)
vertical and horizontal components of a projectiles velocity on a trajectory graph
vertical velocity- total velocity* Sin(θ)
horizontal velocity- total velocity* Cos(θ)
observed value
true value + Random error + systematic error
density
mass (Kg)/ Volume (m^3)
density in Kg/m^3
pressure in a fluid
depth(m) * density of the fluid(Kg/m^3) * acceleration due to gravity(m/s^2)
work done
force(N) * distance(m)
work done in joules (J)
kinetic energy
1/2 * mass(kg) * velocity^2(m/s)
KE in joules(j)
Δgravitational potential energy
mass(kg) * g(m/s^2) * change in hight(m)
GPE in joules(j)
wave intensity
power(W) / Area(m^2)
intensity- W/m^2
elastic potential energy
1/2 * spring constant (N/m) * extension^2 (m)
EPE in joules(j)
power
energy transferred(j) / time(s)
power in Watts(W)
power (using velocity)
force(N) * velocity(m/s)
power in Watts(W)
efficiency
useful energy(j) / total Energy (j)
*100 if you want %efficiency
no units
force on a spring
spring constant(N/m) * extension(m)
Force in Newtons (N)
stress
force along the axis (N) / cross-esctional area(m^2)
stress in pascals(Pa or N/m^2)
strain
extension(m) / original length(m)
strain has no units
youngs modulus
stress(N/m^2) / strain
newtons second law
Force(N)= Mass(kg) * acceleration (m/s^2)
impulse
Force(N) * time(s)
impulse is in kg m/s
charge
current(A) * time(s)
charge in coulombs (c)
Potential Difference
work done(j) / charge(c)
potential difference in volts(v)
Electromotive force
(cells internal resistance(Ω) + circuit resistance(Ω) ) * current (A)
EMF in volts (v)
Ohm’s law
voltage(v) = current(A) * resistance(Ω)
the resistivity of a wire
(resistance(Ω) * cross sectional area (m^2)) / wire length(m)
resistivity in ohms (Ωm)
three equations for electrical power
current(A) * voltage(V)
current^2(A) * resistance(Ω)
voltage^2(V) / resistance(Ω)
power in Watts(W)
internal resistance
(electromotor force(V) - voltage(V) ) / current(A)
internal resistance in ohms (Ω)
specific heat capacity equation
energy required(j)= mass(kg) * specific heat * Δtemp(k)
specific heat in joules per kilogram per kelvin
specific latent heat equation
energy required(j)= mass(kg) * latent heat (j/kg)
three equations using the Boltzmann constant
ideal gas constant * moles(mol) =
Boltzmann constant * number of molecules
Avogadro’s constant =
ideal gas constant / Boltzmann constant
pressure(Pa)*volume(m^3) =
number of molecules * Boltzmann constant * temp(k)
work done by an expanding gas
pressure(Pa) * Δvolume(m^3)
work in joules (j)
atomic mass unit
1.66*10^-27 kg
the equation for radiation pressure
pressure(Pa) * volume (m^3) =
1/3 * number of molecules * mass(kg) * velocity^2 (m/s)
angular velocity
Δangle(rad) / Δtime(s)
angular speed in radians per second (rad/s)
arc of a circle segment
angle(rad) / radius(m)
arc in metres (m)
velocity (from angular velocity)
the radius of the circle(m) * angular velocity(m/s)
velocity in m/s
circular motion’s period
1 / circular motions frequency(hz)
period in seconds (s)
angular velocity (from period and frequency)
2π * circular motion frequency(hz)
2π / circular motion period(s)
angular velocity in rad/s
3 equations for centripetal acceleration
Δvelocity(m/s) / Δtime(s)
velocity^2 (m/s) / radius(m)
angular velocity^2 (m/s) * radius(m)
acceleration in m/s^2
the simple harmonic motion equation
acceleration(m/s^2) =
-(angular velocity^2) (m/s) * displacement(m)
maximum acceleration of simple harmonic motion
angular velocity^2(m/s) * maximum displacement(m)
acceleration in m/s^2
period of a spring with a mass on
2π * root( mass(kg) / spring constant(N/m) )
the period in seconds(s)
displacement in simple harmonic motion
amplitude(m) * Cos(angular velocity(m/s) * time(s) )
displacement in metres (m)
amplitude in simple harmonic motion
Cos(angular velocity(m/s) * time(s) ) = 1
amplitude in metres(m)
maximum speed in simple harmonic motion
angular velocity(m/s) * amplitude(m)
speed in m/s
period of a pendulum
2π * root(length of string(m) / gravity(m/s^2) )
the period in seconds (S)
gravitational force
(gravitational constant * first mass * second mass) / the distance between the two objects ^2
gravitational field strength
the gravitational force on the object
/mass of the object