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Question

If I completely annihilate a hair of your body that has a mass of 1μg then how much energy will I get in the process.
  1. 9×1010J
  2. 8×1010J
  3. 9×1012J
  4. 8×106J


Solution

The correct option is A 9×1010J
Mass is a condensed form of energy. Einstein's theory says that if we have a mass m then it's actually made up of certain amount of energy E and m=Ec2Hence if we anihilate a mass m, according to this equation, the amount of energy that we'll get is :
E=mc2
Now we have a mass = 1μg
Hence energy E=106×(3×108)×(3×108)J
Which is on calculating 9×1010J
Quite a good amount of energy!!!

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