Which of the following two quantities have the same dimensions?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Work and torque.
The two quantities that have the same dimensions are work and torque.
- Work has the dimensional formula [M L² T⁻²] (force × distance).
- Torque has the dimensional formula [M L² T⁻²] (force × distance from the pivot point).
Since both work and torque involve force and distance, they have the same dimensions, despite having different physical interpretations. The other pairs (power, moment of inertia, angular displacement, and radius of circular motion) have different dimensional formulas.