Dimensional analysis MCQ: Pick the pair whose quantities do NOT have identical dimensions. Compare each pair using M–L–T dimensional formulae and identify the mismatch. Choose the correct option.

Q: Dimensional analysis MCQ: Pick the pair whose quantities do NOT have identical dimensions. Compare each pair using M–L–T dimensional formulae and identify the mismatch. Choose the correct option.

Check each pair Force vs weight ⇒ both MLT-2.Pressure vs stress ⇒ both ML-1T-2.Angular momentum vs Planck's constant ⇒ both ML2T-1.Power vs torque ⇒ ML2T-3 vs ML2T-2 (different). Final Answer Power and torque

Difficulty: Easy

Force and weight
Pressure and stress
Angular momentum and Planck's constant (h)
Power and torque

Correct Answer: Power and torque

Explanation:

Check each pair
Force vs weight ⇒ both MLT^-2.Pressure vs stress ⇒ both ML^-1T^-2.Angular momentum vs Planck's constant ⇒ both ML²T^-1.Power vs torque ⇒ ML²T^-3 vs ML²T^-2 (different).

Final Answer
Power and torque

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