Question

The energy released during the fission $1Kg$ of uranium
$\left( A \right)9 \times {10^{20}}ergs$
$\left( B \right)9 \times {10^{10}}ergs$
$\left( C \right)9 \times {10^{18}}ergs$
$\left( D \right)9 \times {10^8}ergs$

Answer 1

Hint:The atomic number of uranium is \[92\]. It is present in the actinide series of the periodic table. uranium has a $6$ valence electron. It is silvery grey metal. Uranium is considered as heavy metal. It is also a natural radioactive element.

Complete step by step answer:
 Fission is a process of splitting up of atoms. Nuclear fission is a process is a radioactive decay in which the nucleus is broken into two or more smaller or lighter nuclei. This process produces a large amount of energy.
Binary fission in which formation of two charged fragments.
 $_{92}^{235}U + _0^1n \to _{56}^{141}Ba + _{36}^{92}Kr + 3_0^1n$
Now mass of uranium nucleus is
$ \Rightarrow $$92 \times 1.6725 \times {10^{ - 17}} + 147 \times 1.6747 \times {10^{ - 27}}$
$ \Rightarrow $$393.35 \times {10^{ - 27}}Kg$
Number of nuclei in the given mass
$ \Rightarrow $$\dfrac{1}{{393.35 \times {{10}^{17}}}} = 2.542 \times {10^{24}}$
Average energy released in the fission for 1 atom is$215MeV$
$ \Rightarrow $$215 \times 2.542 \times {10^{24}}MeV$
$ \Rightarrow $$5.46 \times {10^{26}}MeV$
In joule it will be $8.74 \times {10^{13}}J$
Which will be equal to $9 \times {10^{20}}erg$

So, option $\left( A \right)$ is correct.

Additional information:
 There is one term which we call as fusion, the difference between fission and fusion:
Fusion in which two lighter nuclei will merge together to form a bigger nuclei by giving vast amounts of energy. In this the nuclei e small mass isotopes like hydrogen, combined to form larger fusion is the process which takes place in the sun.
Fission is the splitting up of nuclei into smaller nuclei. fission takes place when a large unstable isotope is bombarded with a high speed particle like neutrons.

Note:
Nuclear fission takes place in a bomb which was based on uncontrolled chain reaction. The first nuclear bomb was exploded over Hiroshima, Japan. whose effects are still present there. In this the uranium went into nuclear fission causing a huge amount of energy.