The mass and energy equivalent to 1, a.m.u. a | vedclass

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(B) $1\, amu$ is defined as one-twelfth of the mass of an unbound neutral atom of carbon-$12$ in its nuclear and electronic ground state.Mass of $1$ m

Vedclass · Accepted Answer

$1.67 	imes 10^{-27}\,kg, 930\, MeV$

Vedclass · Answer

(B) $1\, amu$ is defined as one-twelfth of the mass of an unbound neutral atom of carbon-$12$ in its nuclear and electronic ground state.Mass of $1$ mole of $C$ atoms $= 12\, g = 0.012\, kg$.$1\, amu = \frac{0.012\, kg}{6.023 	imes 10^{23}} \approx 1.66 	imes 10^{-27}\, kg$.Using Einstein's mass-energy equivalence formula,$E = mc^2$:$E = (1.66 	imes 10^{-27}\, kg) 	imes (3 	imes 10^8\, m/s)^2 = 1.494 	imes 10^{-10}\, J$.Converting Joules to $MeV$ $(1\, eV = 1.602 	imes 10^{-19}\, J)$:$E = \frac{1.494 	imes 10^{-10}}{1.602 	imes 10^{-13}}\, MeV \approx 931.5\, MeV \approx 930\, MeV$.Thus,the correct option is $B$.

The mass and energy equivalent to $1\, a.m.u.$ are respectively:

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