Question

A force F is given by F=at + $b{t}^2$ , where t is time. What are the dimensions of a and b

• A. $ML{T}^{-3}$ and $M{L}^2{T}^{-4}$
• B. $ML{T}^{-3}$ and $ML{T}^{-4}$
• C. $ML{T}^{-1}$ and $ML{T}^0$
• D. $ML{T}^{-4}$ and $ML{T}^{-1}$

Answer 1

The correct option is B $ML{T}^{-3}$ and $ML{T}^{-4}$

Dimension of a is same as that of $\frac{F}{t}$ .i.e. $ML{T}^{-3}$

Dimension of b is same as that of $\frac{F}{t^2}$.i.e $ML{T}^{-4}$