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The principle behind the working of an atom bomb is:
a.) Nuclear fusion
b.) Nuclear fission
c.) Radioactivity
d.) None of these

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Answer
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Hint: When a heavier nuclei having high atomic number and mass number disintegrates into lighter nuclei of lower mass number and atomic number, a large amount of energy is produced which can be used as a weapon of mass destruction if implemented in a certain way.

Detailed step by step solution:
An atom bomb is a weapon which can cause a lot of destruction in the area where it is dropped.

The working of an atomic bomb is based on the phenomenon of nuclear fission.

Nuclear fission can be defined as a nuclear phenomenon in which the nucleus of an element having high atomic number and mass number splits into a lighter nuclei of smaller mass number and atomic number.

This phenomena is based on the binding energy per nucleon curve shown below.

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In this plot, the elements beyond iron have big nuclei with large numbers of nucleons and are unstable. They try to achieve stability by undergoing nuclear fission to reduce their number of nucleons.

Hence, the correct answer is option C.

Note:
1. Radioactivity and nuclear fission are two different phenomena in the sense that in radioactivity, the nucleus of a radioactive isotope undergoes decay to emit certain radiation whereas in case of nuclear fission, a heavier unstable nucleus breaks into nuclei of lighter mass giving off a lot of energy.
2. In nuclear fusion, lighter nuclei combine to form a heavier nuclei. This process requires a lot of energy. It is the process by which the sun’s core gets its energy. On earth, we have not yet discovered a method to produce the required amount of energy required for nuclear fusion to occur.