Dimensions of Surface Energy - Dimensional Formula and Derivation
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Understanding the Dimensional Formula of Surface Energy
Let's delve into the world of physics and understand what the dimensional formula of surface energy entails.
The dimensional formula of surface energy can be represented as:
[M1 L0 T-2]
In this representation,
- M stands for Mass
- L represents Length
- T denotes Time
A Quick Look at the Derivation
Surface energy (E) can be defined as Energy divided by Area i.e. Energy × [Area]-1 . . . (1)
As we know, Energy can also be expressed as the product of Force and displacement, which is essentially mass (m) times acceleration (a) times displacement.
So, Energy can be rewritten as [M1 L1 T-2 × L1]
This implies that the dimensional formula of energy is [M1 L2 T-2] . . . (2)
Similarly, the dimensional formula of area is [M0 L2 T0] . . . . (3)
Substituting equation (2) and (3) in equation (1), we get:
Surface energy = Energy × [Area]-1
Or, E = [M1 L2 T-2] × [M0 L2 T0]-1 = [M1 L0 T-2]
So, the surface energy is dimensionally represented as [M1 L0 T-2].
Explore Other Dimensional Formulas:
Frequently Asked Questions
What is the dimensional formula of surface energy?
The dimensional formula of surface energy is [M^1 L^0 T^-2].
How is the surface energy dimensionally represented?
The surface energy is dimensionally represented as [M^1 L^0 T^-2].
What are the dimensions used in the dimensional formula of surface energy?
The dimensions used are M for Mass, L for Length, and T for Time.
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