Question: Which of the following quantities has the dimension of energy?
Options:
Force
Work
Power
Pressure
Correct Answer: Work
Solution:
Work is defined as force times distance, and its dimensions are ML^2T^-2, which are the same as energy.
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.
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