Rankers Physics

Nucleus: Practice Problem & Solution

When a uranium isotope $^{235}_{92}U$ is bombarded with a neutron, it generates $^{89}_{36}Kr$, three neutrons and : (2020)
$^{91}_{40}Zr$
$^{101}_{36}Kr$
$^{103}_{36}Kr$
$^{144}_{56}Ba$

Solution Explained:

To solve this problem, we apply the core principles of Nucleus. Understanding the underlying formula is key to arriving at the correct answer below:

The fission reaction is $^{235}_{92}U + ^{1}_{0}n \rightarrow ^{89}_{36}Kr + 3(^{1}_{0}n) + ^{A}_{Z}X$. Balancing $Z$: $92 + 0 = 36 + 0 + Z \Rightarrow Z = 56$. Balancing $A$: $235 + 1 = 89 + 3 + A \Rightarrow 236 = 92 + A \Rightarrow A = 144$. The product is $^{144}_{56}Ba$.

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