Question:
One milligram of matter converted into energy, will give
One milligram of matter converted into energy, will give
Updated On: Jun 14, 2022
- $9\, J$
- $ 9\times 10^{3}J $
- $ 9\times 10^{5}J $
- $ 9\times 10^{10}J $
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The Correct Option is D
Solution and Explanation
From Einstein's mass-energy equivalence relation, the amount of matter converted into energy is given by
$\Delta E=\Delta m c^{2}$
Given, $\Delta m=1\, mg =10^{-6} kg$,
$c=3 \times 10^{8} m / s$
$\therefore \Delta E=\left(10^{-6}\right)\left(3 \times 10^{8}\right)^{2}$
$\Rightarrow \Delta E=9 \times 10^{10} J$
$\Delta E=\Delta m c^{2}$
Given, $\Delta m=1\, mg =10^{-6} kg$,
$c=3 \times 10^{8} m / s$
$\therefore \Delta E=\left(10^{-6}\right)\left(3 \times 10^{8}\right)^{2}$
$\Rightarrow \Delta E=9 \times 10^{10} J$
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Concepts Used:
Dual Nature of Matter
- The concept of Dual Nature of Matter was proposed after various experiments supported both wave as well particle nature of light.
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