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E=mc2 & its derivation.
 According to Albert Einstein, mass and energy are inter convertible. In 1905, he established the mass- energy equivalence.

Einstein's  mass-energy equivalence is a consequence of  variation of mass with velocity. From the special theory of relativity, it follows that the Kinetic energy of a moving particle is equal to c2 times the increase in mass due to its motion. If m0 is rest mass of the particle and m, the mass in motion, then kinetic energy of the particle,

    T= (m-m0) c2

According to Einstein, the rest mass of the particle is due to an internal store of energy m0c2, called the rest mass energy of the particle. Therefore, the total energy of a moving particle is given by

         E= T+m0c2 = (m-m0) c2+m0c2
or     E= mc2

Thus, a mass m is equivalent to an energy mc2. This is the famous Einstein's mass- energy relationship showing the equivalence of mass and energy.



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