One atomic mass units is equivalent to ...... | vedclass

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Question

$1\, a.m.u$ is defined as $1 / 12^{	ext {th }}$ of the mass of an atom of $6^{ C ^{12}}$ isotope.

It can be shown that

1 a.m.u $=1.66 	imes 10

Vedclass · Accepted Answer

$931.5$

Vedclass · Answer

$1\, a.m.u$ is defined as $1 / 12^{	ext {th }}$ of the mass of an atom of $6^{ C ^{12}}$ isotope.

It can be shown that

1 a.m.u $=1.66 	imes 10^{27}\,kg$.

According to Einstein, mass energy equivalence

$E = mc ^2$

Where $m =1.66 	imes 10^{-27}\, kg$

$C =3 	imes 10^8\, m / sec$, we get

$E =1.49 	imes 10^{-10}\, J \left(1 Mev =1.6 	imes 10^{-13}\, J ight)$

$E =\frac{1.49 	imes 10^{-10}\, J }{1.6 	imes 10^{-13}}\,Mev$

$E =931.25\,Mev$

Hence a change in mass of $1\,a. m.u$ (called mass defect) releases an energy equal to $931 \,Mev$.

$1\,amu =931\,Mev$ is used as a standard conversion.

One atomic mass units is equivalent to .............. $MeV$ energy.

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