waves Flashcards
equation of wave
angular wave number
relation between particle velocity and wave velocity
-vp dy/dx
velocity of particle
dy/dt
phase difference
=2 pi/lamda { delta x}
kinetic energy of a travelling wave
1/4 mu lambda omegasquare Amplitudesquare
potential energy
1/4 mu lambda omegasquare Amplitudesquare
velocity of transverse wave on a stretched string
v= underroot{ T/mu}=underoot {T/density*area}
power
1/2 mu omegasquare Asquare v =1/2 omegasquare Asquare density area
intensity
resultant amplitude during reflection
reflection coefficient
relation between amplitude of transmitted and incident wave
reflection coefficient in terms of velocities
va-vb/va+vb
equation of longitudinal wave
delta p = -bak cos {kx-wt}
velocity of longitudinal wave
root {B/DENSITY}…..B=BULK MODULUS
speed of sound in solid
v=root {youngs modulus /Density}
speed of sound in liquid and gas
velocity =root {bulk modulus /density }
laplace correction
bulk modulus =gamma *pressure
where gamma is cp/cv
pressure,molecular mass relation
P={density R T } /M. ………… M.=molecular mass
R=rydbergs constant
velocity of sound in gases {in terms of gamma}
v=underroot [gamma R T /M. }
formula to find net amplitude
net intentensity formula
equation of standing wave
2A sin kx coswt
when string is fixed at both ends ..fundamental frequency of vibration
f=v/2L
fundamental frequency of string free at an end
v/4L
general expression of string free at ends
fundamental f of string free at one end
fundamental f of open organ pipe
fundamental and general f of organ closed at 1 end
frequency in resonance column experiment
end correction in resonce column experiment
0.3 *diameter
velocity in resonance column experiment
v=2 f ( L2-L1)
velocity in resonance column experiment
v=2 f ( L2-L1)
Apparent frequency when vo and vs approach each other
(vo+v)/v-vs
Apparent frequency when vo and vs approach each other
(vo+vs)/v-vs
apparent frequency if both object and source are moving away
vo
