Which of the following quantities has the dimension [M^1 L^2 T^-2]?
Practice Questions
Q1
Which of the following quantities has the dimension [M^1 L^2 T^-2]?
Energy
Force
Pressure
Power
Questions & Step-by-Step Solutions
Which of the following quantities has the dimension [M^1 L^2 T^-2]?
Step 1: Understand what dimensions mean. Dimensions are a way to describe physical quantities using basic units: M for mass, L for length, and T for time.
Step 2: Identify the dimensions given in the question: [M^1 L^2 T^-2]. This means 1 mass unit, 2 length units, and -2 time units.
Step 3: Recall the definition of energy. Energy is often defined as the ability to do work, and in physics, work is defined as force times distance.
Step 4: Know the dimensions of force. Force has the dimension [M^1 L^1 T^-2] (mass times acceleration).
Step 5: Calculate the dimensions of work (which is energy). Work = Force × Distance, so it has dimensions [M^1 L^1 T^-2] × [L^1] = [M^1 L^2 T^-2].
Step 6: Conclude that energy has the dimension [M^1 L^2 T^-2], which matches the quantity in the question.
