Which of the following has the same dimension as that of torque?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Energy.
Both quantities have the dimensional formula of [M L2 T−2].
Energy (e.g., Joules) is typically defined as Force × Distance (e.g., N⋅m). The dimensions for Force are [M L T−2], and Distance is [L], leading to [M L2 T−2].
Torque (e.g., Newton-meters) is defined as Force × Perpendicular Distance from the pivot. The dimensions are identical: [M L T−2]×[L]=[M L2 T−2].