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Material Wave and Sound
Tags: Engineering Entrance  |  IIT JEE  |  Mechanics
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Wave Motion
(iv) Other equation for a progressive wane moving along the direction of positive x - axis are:



is propagation constant or wave vector.



Point to remember : Wave equation can be shown by any of the following relation:



All there wanes are also called as waves.

The necessary condition for two particles to the in same phase or in opposite phase.































No.   Same phase Opposite phase
( i ) Phese angle
( ii ) Path difference
( iii ) Time difference 2nT / 2 ( 2n + 1 ) T / 2

5. Intensity of waves, energy density:

( i ) Intensity ( I ): Amount of energy flowing per second from unit area of the medium in a direction perpendicular to the propagation of wave.M




'P' being the density of the medium.


(ii) For a given medium ( p and v are constants )




(iii) unit of intensity:


(iv)Energy density (E): Energy per unit volume of the medium




(v)For sound waves the intensity obey the inverse square law. It the distance between the source and the point of observation in 'x' then




6.
Superposition of waves :

( i ) If two or more waves propagate in a medium simultaneously, then the resultant displacement of the particulars of the medium is given by the meter sum of displacement produced by th individual wave.


( ii )If the displacement produce by different waves are respectively.



then the resultant displacement of particle is


( iii ) Resultant displacement depends on


(a) amplitude,


(b) phase differences ,


(c) frequencies and


(d) direction of propagation of waves .


(iv) Different phenomena occurring as a result of superposition of waves are


(a) interference,


(b) beast,


(c) stationery


(d) lissajous figures
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