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Question: One milligram of matter is converted into energy. The energy released will be:...

One milligram of matter is converted into energy. The energy released will be:

A

9×106J9 \times 10^{6}J

B

9×108J9 \times 10^{8}J

C

9×1010J9 \times 10^{10}J

D

9×1012J9 \times 10^{12}J

Answer

9×1010J9 \times 10^{10}J

Explanation

Solution

Here, m = 1 mg = 1×10−3g=1×10−61 \times 10^{- 3}g = 1 \times 10^{- 6}kg

According to Einstein mass energy equivalence

E=mc2E = mc^{2}

Where c is the speed of light in vacuum

∴E=(1×10−6kg)(3×108ms−1)2=9×1010J\therefore E = (1 \times 10^{- 6}kg)(3 \times 10^{8}ms^{- 1})^{2} = 9 \times 10^{10}J