Which of the following quantities has the dimension of [M^1 L^2 T^-2]?
Practice Questions
Q1
Which of the following quantities has the dimension of [M^1 L^2 T^-2]?
Pressure
Energy
Force
Work
Questions & Step-by-Step Solutions
Which of the following quantities has the dimension of [M^1 L^2 T^-2]?
Step 1: Understand what the notation [M^1 L^2 T^-2] means. Here, M stands for mass, L stands for length, and T stands for time.
Step 2: Recognize that the exponent indicates how many times each dimension is multiplied. For example, M^1 means mass is present once, L^2 means length is squared, and T^-2 means time is in the denominator squared.
Step 3: Identify common physical quantities and their dimensions. For example, energy is defined as work done, which is force times distance.
Step 4: Recall that force has the dimension of [M^1 L^1 T^-2] (mass times acceleration), and when multiplied by distance (which has the dimension of [L^1]), the dimensions of energy become [M^1 L^2 T^-2].
Step 5: Conclude that energy is the quantity that has the dimension of [M^1 L^2 T^-2].
