What is the dimension of energy? (2020)

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Question: What is the dimension of energy? (2020)

Options:

Correct Answer: M^1L^2T^-2

Exam Year: 2020

Solution:

The dimension of energy is M^1L^2T^-2.

What is the dimension of energy? (2020)

What is the dimension of energy? (2020)

Step 1: Understand that energy is a physical quantity that can be measured.
Step 2: Recall that dimensions are expressed in terms of mass (M), length (L), and time (T).
Step 3: Know that energy can be defined in terms of work done, which is force times distance.
Step 4: Recognize that force is defined as mass times acceleration (F = m * a).
Step 5: Understand that acceleration is change in velocity over time, which has the dimension of length per time squared (L/T^2).
Step 6: Substitute the definition of force into the work formula: Work = Force × Distance = (M * (L/T^2)) × L.
Step 7: Simplify the expression: Work = M * (L^2/T^2).
Step 8: Conclude that the dimension of energy (which is the same as work) is M^1L^2T^-2.

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