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Representation of Sound Waves

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Question

the displacement of the progressive wave is represented by y=Asin(t-kx)where x and y are distances and t is time . write the dimensional formula of A and and k

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Solution

As sin(t-kx) gives us a numerical value . Dimension of A is same as dimension of y i.e L

kx is subtracting from t , Dimension of kx = T , k = T/L
Dimension of k is L^-1 T

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