Consider two physical quantities A and B related to each other as E=(B-x²)/(At) where E, x and t have dimensions of energy, length and time respectively. The dimension of AB is

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(3) [L²M⁻¹T¹]. Idea: B-x² forces B to have the dimension of x². B=[L²]. From E=B/(At): A=B/(Et)=([L²])/([ML²T⁻²][T])=[M⁻¹T]. AB=[M⁻¹T][L²]=[L²M⁻¹T].

Consider two physical quantities A and B related to each other as E=(B-x²)/(At) where E, x and t have dimensions of energy, length and time respectively. The dimension of AB is

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