Question

Which of the following pairs of physical quantities have same dimensions?

• A. Force and power
• B. Torque and energy
• C. Torque and power
• D. Force and torque

Answer 1

The correct option is B Torque and energy

Torque is the moment of force given by:$\overrightarrow{\tau }=\overrightarrow{r}\times \overrightarrow{F}$

It’s unit is Newton-meter.

The unit of work/energy is also Newton-meter or Joule.

Thus, both of these physical quantities have the same units/dimensions.

$\left[Torque\right]=\left[M\right]\left[L{]}^2\right[T{]}^{-2}=\left[Energy\right]$