Question

If the power of a body is given by $P=xv$, where $v$ is the velocity of the body then the dimension of $x$ is

• A. $\left[ML{T}^{-2}\right]$
• B. $\left[M{L}^2{T}^{-2}\right]$
• C. $\left[ML{T}^2\right]$
• D. $\left[M^{2}L{T}^2\right]$

Answer 1

The correct option is A $\left[ML{T}^{-2}\right]$

We know that the power of a body is given by $P=Fv$, where $F$ is force and $v$ is velocity.
Given, $P=xv$, hence, dimension of $x$ will be equal to dimension of $F$.
$\Rightarrow \left[x\right]=\left[F\right]=\left[ML{T}^{-2}\right]$