44. Einstein's mass-energy relation emerging out of his famous theory of relativity relates mass (m) to energy (E) as E= mc2, where c is the speed of light in a vacuum. At the nuclear level, the magnitudes of energy are very small. The energy at the nuclear level is usually measured in MeV, where 1MeV=1.6×1019J; the masses are measured in the unified atomic mass unit (u) where 1u=1.67×1027 kg.

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

(b) A student writes the relation as 1u= 931.5 MeV. The teacher points out that the relation is dimensionally incorrect. Write the correct relation.