Question

which of the following pair of quantites have the same dime'sional fourmula​

Answer 1

Answer:

 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.

Hence,

 option (b) is correct.

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