Identify the pair whose dimensions are equal (a) torque and work (b) stress and energy (c) force and stress (d) force and work

Answer: (a). Torque = rF: ML²T⁻²; work = Fd: ML²T⁻². Stress ML⁻¹T⁻², energy ML²T⁻², force MLT⁻² do not pair up. So the answer is (a) torque and work.

Identify the pair whose dimensions are equal | JEE Main 2002 (AIEEE)

Q103JEE Main 2002 · AIEEEEasy

Units & Dimensions

Identify the pair whose dimensions are equal

Show answer and solution

Answer: (a)

Torque $= rF$ : $\mathrm{ML^2T^{-2}}$ ; work $= Fd$ : $\mathrm{ML^2T^{-2}}$ .
Stress $\mathrm{ML^{-1}T^{-2}}$ , energy $\mathrm{ML^2T^{-2}}$ , force $\mathrm{MLT^{-2}}$ do not pair up.
So the answer is (a) torque and work.