Question

Q. Calculate the dimensional Formula of energy from the equation E = 1/2mv^2.
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Answer 1

E=1/2mv^2

E=1/2 × M^1 (L÷T)^2

E=1/2× M^1 L^2 T^-2

so dimensional formula of Energy is

[M^1 L^2T^-2]

Answer 2

Answer:

Dimension of Energy is  [ML²$T^{-2}$].

Explanation:

• Dimension: The nature of a physical quantity is described by dimension. The powers of basic quantities by which the particular physical quantity is calculated is called dimension.
• Dimension is always expressed inside of third bracket.
• The 7 basic dimensions are: length [L], mass [M], time [T], electric current[A], thermodynamic temperature [K], luminous intensity[cd], amount of substance[mol].
• Dimension of energy:

        The formula is: Energy, E = $\frac{1}{2} mv^2$

        The dimension of E = Dimension of ( $\frac{1}{2} mv^2$)

                                          = Dimension of ( mv²)

                                          = Dimension of mass × Dimension of velocity²

                                          = [M] × [L/T]²

                                          = [ML²$T^{-2}$]

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