The energy equivalent to 1,mg of matter in Me | vedclass

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Question

(C) According to Einstein's mass-energy equivalence principle,$E = mc^2$.Given mass $m = 1\,mg = 1 	imes 10^{-6}\,kg$.The speed of light $c = 3 	ime

Vedclass · Accepted Answer

$5.625 	imes 10^{23}$

Vedclass · Answer

(C) According to Einstein's mass-energy equivalence principle,$E = mc^2$.Given mass $m = 1\,mg = 1 	imes 10^{-6}\,kg$.The speed of light $c = 3 	imes 10^8\,m/s$.$E = (1 	imes 10^{-6}\,kg) 	imes (3 	imes 10^8\,m/s)^2 = 9 	imes 10^{10}\,J$.To convert Joules to $eV$,divide by $1.6 	imes 10^{-19}\,J/eV$:$E = \frac{9 	imes 10^{10}}{1.6 	imes 10^{-19}}\,eV = 5.625 	imes 10^{29}\,eV$.Since $1\,MeV = 10^6\,eV$,we have:$E = \frac{5.625 	imes 10^{29}}{10^6}\,MeV = 5.625 	imes 10^{23}\,MeV$.

The energy equivalent to $1\,mg$ of matter in $MeV$ is

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