The displacement of a body is given by $\mathrm{x}=\mathrm{C}+\mathrm{Bt}+\mathrm{At}^2 . \quad$ The

Question

The displacement of a body is given by $\mathrm{x}=\mathrm{C}+\mathrm{Bt}+\mathrm{At}^2 . \quad$ The dimensional formula of A is ( t is time)

Professor PC Thomas Classes · Answer

By principle of homogeneity, $[\mathrm{At}^2] = [\mathrm{x}] \implies [\mathrm{A}] = [\mathrm{L}][\mathrm{T}^{-2}] = [\mathrm{LT}^{-2}]$.