One milligram of matter converted integralo energy will give... | Physics | SolveeIt

Question

One milligram of matter converted into energy will give

90 J

$9 \times 10^3 \, J$

$9 \times 10^{10} \, J$

$9 \times 10^5 \, J$

Answer

$9 \times 10^{10} \, J$

Explanation

Solution

Given, mass of the matter $= 1 \,mg=1\times10^{-6}\,kg$ As we know, $C=3\times10^{8} m /s$ Matter will be converted into energy by the formula, $E=mc^{2}$ $=1\times10^{-6}\times\left(3\times10^{8}\right)^{2}$ $=1\times10^{-6}\times9\times10^{16}$ $=9\times10^{10}\,J$

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