Question

What one of the following have same dimensions? A) torque and force B) potential energy and force C) torque and potential energy D) plank's constand and linear momentum

Answer 1

C) torque and potential energy

Answer 2

The dimensions of torque and potential energy are similar.

• Torque is the force used in rotating an object. It is also called the twisting force.
• The torque is the vector product of perpendicular distance (r) and the force applied(F).
• The dimension of torque is [M¹L²T⁻²].
• The potential energy is the work done against gravitational force.
• The potential energy is equal to the scalar product of force and displacement.
• The dimension of potential energy is dimension is [M¹L²T⁻²].
• Hence, the correct answer is an option (C).