Question

Identify the pair whose dimensions are equal.

• A. Torque and work
• B. Stress and energy
• C. Force and stress
• D. Force and work

Answer 1

The correct option is A

Torque and work

$Torque=Force\times Perpendiculardistance=\left[ML{T}^{-2}\right]\left[L\right]=\left[M{L}^2{T}^{-2}\right]$
$Work=Force\times Displacement=\left[ML{T}^{-2}\right]\left[L\right]=\left[M{L}^2{T}^{-2}\right]$