1.

A force `F` is given by `F = at + bt^(2)` , where `t` is time . What are the dimensions of `a and b`?A. `MLT^(-3) and ML^(2)T^(-4)`B. `MLT^(-3) and MLT^(-4)`C. `MLT^(-1) and MLT^(0)`D. `MLT^(-4) and MLT^(4)`

Answer» Correct Answer - b
From the principal of dimensional bomogeneity
`[a] = [(F)/(t)] = [MLT^(-3)]` and `[b] = [(F)/(t^(2))] = [MLT^(-4)]`


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