Answer :

State which of these represent


(a) a travelling wave along –x direction


(b) a stationary wave


(c) beats


(d) a travelling wave along +x direction.


Given reasons for your answers.


(a) The given equation is



by using the property



The given equation can be represented as,



which is the superposition of the same progressive wave in the opposite direction and therefore is the equation of a stationery wave.


(b) The given equation represents a travelling wave along the +x direction as the equation has terms of (ωt - kx) which cannot be separated.


(c) the given equation is



using the property



The given equation can be represented as,



which is the superposition of two wave having very similar frequencies of 504 Hz and 500 Hz which constitute beats.


(d) The given equation represents a travelling wave along the -x direction as the equation has terms of (ωt + kx) which cannot be separated.


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