Question

The dimensions of the ratio $\frac{force\times distance}{power}$ are

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

Answer 1

The correct option is D $M^o{L}^{o}T$

We know,

Force $\times$ distance =Energy

$\text{Energy}=\text{Power}\times \text{Time}$

$\frac{\text{Energy}}{\text{Power}}=Time$

Hence dimension of $\left[\frac{\text{Force}\times \text{Displacement}}{\text{Time}}\right]$ $=$ $\left[T\right]$

Option $\text{D}$ is the correct answer