Einstein's mass - energy relation emerging out of his famous theory of relativity relates mass (m) to energy `(E ) as E = mc^2,` where c is speed of light in vacuum. At the nuclear level, the magnitudes of energy are vary small. The energy at nuclear level is usually measured in MeV, where `1 MeV = 1.6 xx 10^(-13) J ,` the masses are measured in unified mass unit (u) where `1 u = 1.67xx10^(-27)kg.` (a) Show that the energy equivalent of 1u is 931.5 MeV. (b) A student writes the relation as 1 u = 931.5 MeV. The teacher points out that the relation is dimensionally incorrect. Write the correct relation.

Explanation

To solve the problem, we will break it down into two parts as stated in the question.

### Part (a): Show that the energy equivalent of 1 u is 931.5 MeV.

1. **Use Einstein's mass-energy relation**: According to Einstein's mass-energy relation, the energy \( E \) equivalent to a mass \( m \) is given by:
\[ E = mc^2 \]
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