Question Detail
Question
Which of the following pair of physical quantities do not have identical dimension?
Correct Answer
Option E is the correct answer.
Detailed Explanation
Torque has dimensions [ML²T⁻²] (same as work/energy), but they are different physical quantities. The question asks for pairs that do NOT have identical dimensions. Torque and energy have the same dimensions, so they are identical dimensionally. Actually, all pairs listed have identical dimensions except perhaps one. Force and weight are both [MLT⁻²]. Work and energy are [ML²T⁻²]. Pressure and stress are [ML⁻¹T⁻²]. Impulse and momentum are [MLT⁻¹]. Torque and energy are both [ML²T⁻²]. So all have identical dimensions. Possibly a trick question where all have identical dimensions.
Hint
Check the fundamental dimensions of each quantity.