The amount of energy released when one microg | vedclass

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(A) According to Einstein's mass-energy equivalence relation,$E = mc^2$. Given mass $m = 1 \mu g = 10^{-6} g = 10^{-9} kg$. The speed of light $c = 3

Vedclass · Accepted Answer

$25 kWh$

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(A) According to Einstein's mass-energy equivalence relation,$E = mc^2$. Given mass $m = 1 \mu g = 10^{-6} g = 10^{-9} kg$. The speed of light $c = 3 	imes 10^8 m/s$. Substituting these values: $E = 10^{-9} 	imes (3 	imes 10^8)^2 = 10^{-9} 	imes 9 	imes 10^{16} = 9 	imes 10^7 J$. To convert Joules to kilowatt-hours $(kWh)$,we divide by $3.6 	imes 10^6 J/kWh$: $E = \frac{9 	imes 10^7}{3.6 	imes 10^6} kWh = 25 kWh$.

The amount of energy released when one microgram of matter is annihilated is

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