Q. The energy equivalent to 1 mg of matter in MeV is

A) $56.25\ \times \ 10^{22}$
B) $56.25 \times \ 10^{24}$
C) $56.25\ \times \ 10^{26}$
D) $56.25\ \times 10^{28}$
Explanation

(a) 1amu (or 1 u)=$1.6605402\ \times \ 10^{- 27}\ kg$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \ 1.6\ \times \ 10^{- 24}\ g$
Moreover 1 amu is equivalent to 931 MeV
0r $1.6\ \times \ 10^{- 24}$ g is equivalent to 931 MeV
$\therefore$ 1g is equivalent to $\frac{931}{1.6 \times 10^{- 24}}$ MeV
and $10^{- 3}$ g is equivalent to $\frac{931}{1.6 \times 10^{- 24}} \times 10^{- 3}MeV$
$= \ 5.6\ \times \ 10^{23}\ \ MeV$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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