Question

20. Which of the following pair of physical quantity has same dimensions ?
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Answer 1

Answer:

Mass, length and time are fundamental physical quantities.

Answer 2

Explanation:

we know, force = mass × acceleration

energy = Workdone = force × displacement

power = energy/time

torque = force × perpendicular distance between force and axis of rotation.

now, by these formula, find dimension of all terms.

e.g., dimension of force =[MLT⁻²]

dimension of energy =[ML²T⁻²]

dimension of power =[ML²T⁻³]

dimension of torque =[ML²T⁻²]

Here it is clear that , dimension of energy and dimension of torque are equal.