Question

Why is E = mc² ? Prove this or derive this relation . NO links .

Answer 1

Dear Student ,

It is the theory of relativity. It is the formula for Energy released on destruction of a mass.

Now, E=mc²

here, E stands for energy released on destruction of mass 'm' and c is the speed of light in vacuum.

Now, If 1 unit of mass is destroyed then, by theory of relativity,

E=(1)(3*10⁸)²
=> E= 9*10¹⁶ J Therefore, 9*10¹⁶ J of energy is released.

The proof of E=mc² requires knowledge of relativistic mechanics and four vector concept which is beyond the scope of your grade.
Regards