Question

In terms of mass, length and time, and watt is represented by:

• A. $M{L}^2{T}^{-2}$
• B. $M{L}^2{T}^{-3}$
• C. $M{L}^2{T}^2$
• D. $M{L}^2{T}^3$

Answer 1

The correct option is B

$M{L}^2{T}^{-3}$

$$\begin{gathered} Power\left(P\right)=\frac{Workdone\left(W\right)}{Timetaken\left(t\right)} \\ \Rightarrow P=\frac{Force\times displacement}{timetaken} \\ \Rightarrow P=\frac{m\times a\times s}{t} \\ \Rightarrow P=\frac{kg\times kgm{s}^{-2}\times m}{s} \\ \Rightarrow P=[M{L}^2{T}^{-3}] \end{gathered}$$

Hence, the correct answer is option (B) i.e. $M{L}^2{T}^{-3}$