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The displacement of a progressive wave is represented by `y = A sin (omegat - kx),` where x is distance and t is time. Write the dimensional formula of (i) `omega` and (ii) k. |
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Answer» Now, by the principle of homogeneity, i.e., dimensions of LHS and RHS should be equal, `"hence "" "[LHS]=[RHS]` `Rightarrow [L]=[A]=L` `"As "omegat-kx" should be dimensionless",[omegat]=[kx]=1` `Rightarrow [omega]T=[k]L=1` `Rightarrow [omega]=T^(-1) and [k]L=1^(-1)` |
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