Physics - Unit & Dimension Question with Solution | TestHub

(1) $$\begin{array}{rl}\text{ Torque }=\text{ F.S. }& =\left[{\mathrm{MLT}}^{-2}\right][\mathrm{L}]\\ & =\left[{\mathrm{ML}}^2{\mathrm{T}}^{-2}\right]\end{array}$$ correct option is (3) (2) Angular moment $=$ M.I. $\times$ angular velocity $$\begin{array}{rl}=\left[{\mathrm{ML}}^2\right]\left[{\mathrm{T}}^{-1}\right]& =\left[{\mathrm{ML}}^2{\mathrm{T}}^{-1}\right]\\ \text{ Work }=F.S.& =\left[{\mathrm{MLT}}^{-2}\right][\mathrm{L}]\\ & =\left[{\mathrm{ML}}^2{\mathrm{T}}^{-2}\right]\end{array}$$ (3) Work $=\left[{\mathrm{ML}}^2{\mathrm{T}}^{-2}\right]$ from Related Theory (1) $$\begin{array}{rl}& \text{ Impluse }=\text{ force }\times \text{ time }\\ & =\left[ML{T}^{-2}\right][T]=\left[ML{T}^{-1}\right]\\ & \text{ Surface tension }=\frac{\text{ Force }}{\text{ length }}=\\ & \frac{\left[ML{T}^{-2}\right]}{[L]}=\left[M{T}^{-1}\right]\end{array}$$