Wave motion

Wave motion  Wave equation Propagation constant =  Wave velocity v =  Intensity I = 22n2Av =  Energy density = 22n2a2 =  Group velocity vg =  Velocity of sound  velocity of sound in medium v =  (a) In solids v =  (b) In liquid and gaseous v =  (c) In extended solid (crust of earth) v =  Newton's formula v =  Laplace correction v =  Relation between velocity of sound and root mean square velocity Vsound =  Factors that influence the velocity of sound in gas Effect of temperature v =  Effect of pressure v =  Effect of density v =  Effect of humidity moistair <dry air   vmoistair > vdry air Velocity of transverse wave  The velocity of transverse wave in a stretched string v =  If string is stretched by some weight v =  If suspended weight is immersed in a liquid v =  If two rigid supports of stretched string are maintained at temperature difference v =  In solid v =  Plane progressive wave Y = a sin  Particle velocity  Vp =  (vp)max = a  Phase difference = both difference (x)  Superposition Interference  Amplitude, A =  Intensity I  [A]2 Resultant intensity I = I1 + I2+ + 2 cos  Standing waves  Y = 2a cos kx sin t  Distance between two successive nodes =  Distance between two antinodes =  Distance between a node and antinode =  Standing waves on string  Fundamental frequency or first harmonic n1 =  Second harmonic n2 =  prh harmonic np =  The frequency of tuning fork n =  Beat frequency n = n1 - n2 Doppler's effect  Apparent frequency Moving sound source crosses a stationary observer (a) Apparent frequency before crossing =  (b)  Moving observer crosses a stationary source (a)  (b)