Which of the following quantities has the dimension of energy?
Practice Questions
Q1
Which of the following quantities has the dimension of energy?
Force
Work
Power
Pressure
Questions & Step-by-Step Solutions
Which of the following quantities has the dimension of energy?
Step 1: Understand what energy is. Energy is the ability to do work.
Step 2: Know the formula for work. Work is calculated as force multiplied by distance (Work = Force × Distance).
Step 3: Identify the dimensions of force. Force is defined as mass times acceleration (Force = Mass × Acceleration). The dimensions of force are ML^1T^-2.
Step 4: Identify the dimensions of distance. Distance has the dimension of length, which is L^1.
Step 5: Combine the dimensions of force and distance to find the dimensions of work. Work = Force × Distance = (ML^1T^-2) × (L^1) = ML^2T^-2.
Step 6: Compare the dimensions of work to the dimensions of energy. The dimensions of energy are also ML^2T^-2, which means work and energy have the same dimensions.
