Question

The mass equivalent of 931.5 MeV energy is

• A. $1.66\times {10}^{-27}kg$
• B. $6.02\times {10}^{-24}kg$
• C. $1.66\times {10}^{-20}kg$
• D. $6.02\times {10}^{-27}kg$

Answer 1

The correct option is A $1.66\times {10}^{-27}kg$

According to Einstein, mass energy equivalence is represented by

$E=m{C}^2$

Taking $m=1a.m.u$

$=1.66\times {10}^{-27}㎏$

and $C=3\times {10}^8㎧$

We get $E=1.66\times {10}^{-27}\times {(3\times {10}^8)}^{2}J$

$=1.49\times {10}^{-10}J$

As $1MeV=1.6\times {10}^{-13}J$

$\therefore E=\frac{1.49\times {10}^{-10}}{1.6\times {10}^{-13}}$

$E=931.25MeV$

Hence the mass equivalent of $931.25MeV$ energy is $1.66\times {10}^{-27}㎏$