Question

Which of the following pairs of physical quantities have same dimension?
a) force and power
b) torque and energy
c) torque and power
d) force and torque

Answer 1

Answer :- option (b)

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 .
So, option (b) is correct

Answer 2

The correct option is b.

Torque and energy