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The wave equation is represented by y=a sin ( At- Bx + C ), where A,B and C are constant.Dimensions of A,B and C will be

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In the equation y=asin(At-Bx+C) the term (At-Bx+C) must be dimensionless so each term is dimensionless

So At is dimensionless so dimensions of A=[ T-1] and  similarly Bx is dimensionless and dimensions of B=[L-1] and also C is dimensionless

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