Question

___proof E=,MC^2___


☺️It's urgent guys☺️​

Answer 1

Answer:

E = mc2, equation in German-born physicist Albert Einstein’s theory of special relativity that expresses the fact that mass and energy are the same physical entity and can be changed into each other. In the equation, the increased relativistic mass (m) of a body times the speed of light squared (c2) is equal to the kinetic energy (E) of that body.

Answer 2

Let's prove it.

We know, dimensional formula of Energy ( E ) is $\mathtt{{M}^{1}{L}^{2}{T}^{-2}}$

Now,

Dimensional formula should be equal both sides if the formula is correct.

So,

E = mc²

$\\ \rightarrow \quad \mathtt{{M}^{1}{L}^{2}{T}^{-2}} = \mathtt{{M}^{1}} \times \left(\dfrac{\mathtt{L}}{\mathtt{T}} \right)^{2} \\ \\ \rightarrow \quad \mathtt{{M}^{1}{L}^{2}{T}^{-2}} = \mathtt{{M}^{1} \times \dfrac{{L}^{2}}{{T}^{2}}} \\ \\ \rightarrow \quad \mathtt{{M}^{1}{L}^{2}{T}^{-2}} = \mathtt{{M}^{1}{L}^{2}{T}^{-2}}$

Since, The dimensional formula is same both sides, So the formula is correct.

Hence, Proved.