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If in the equation $y=a \sin (\omega t-K x), y$ and $x$ stands for distance and $t$ for time respectively, then find the dimension of $a, \omega$, and $K$.

Answer : $M ^{0} L T ^{0} ; M ^{0} L ^{0} T ^{-1} ; M ^{0} L ^{-1} T ^{0}$.

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