Question

What is the dimensional formula of E=mc2 ?

Answer 1

[ML^2 T^-2] = [M] [LT^-1]^2

[ML^2 T^-2] = [ML^2 T^-2]

Answer 2

Answer:

The dimensional formula of E = m$c^{2}$ is ML²T⁻²

Explanation:

From the above question,

They have given :

                      E = m$c^{2}$

where, E is energy,

            m is mass and

            c is the speed of light.

The dimensional system of E=mc² can be derived the use of the dimensional evaluation method, the place we analyze the dimensions of every variable in the equation.

The dimension of power can be represented as [M L² T⁻²], the place M is mass, L is length, and T is time.

The dimension of mass can be represented as [M].

The dimension of the pace of mild (c) can be represented as [L T⁻¹].

Substituting these dimensions into the equation E=mc², we get:

               [E] = [M L² T⁻²]

               [m] = [M]

               [c] = [L T⁻¹]

Therefore,

               [E] = [m][c]²

               [M L² T⁻²] = [M][L T⁻¹]²

Simplifying this expression, we get:

               [E] = [M L² T⁻²]

Hence, the dimensional method of E=mc² is [M L² T⁻²].

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