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Dimention of A will be the same as dimension of y (as sin Ф  is just a number) . that is lenght if y is length.
dimension of K will be same as dimension of Q  (heat energy) : joules.
dimension of C will be energy / temperature.

dimension of B will be  :    force * volume  /  area * volume  =  Newtons / m² or
     M / L T²
1 4 1