To determine which of the given reactions are examples of fission reactions, we need to understand the nature of fission. Fission is a nuclear reaction in which a heavy atomic nucleus splits into lighter nuclei, accompanied by the release of neutrons and energy.
Let's analyze each of the given reactions:
1. [tex]\(_1^3 H +_1^3 H \rightarrow_2^4 He +2_0^1 n\)[/tex]
In this reaction, two hydrogen nuclei (tritium) combine to form a helium nucleus and release two neutrons. This is a fusion reaction, where lighter nuclei combine to form a heavier nucleus.
2. [tex]\(_{94}^{239} Pu +_0^1 n \rightarrow_{58}^{144} Ce +_{36}^{94} Kr +2_0^1 n\)[/tex]
Here, a plutonium-239 nucleus absorbs a neutron and splits into a cerium-144 nucleus, a krypton-94 nucleus, and releases two neutrons. This is a fission reaction, where a heavy nucleus splits into lighter nuclei.
3. [tex]\(_{95}^{241} Am +_0^1 n \rightarrow_{57}^{144} La +_{38}^{95} Sr +3_0^1 n\)[/tex]
In this reaction, an americium-241 nucleus absorbs a neutron and splits into a lanthanum-144 nucleus, a strontium-95 nucleus, and releases three neutrons. This is also a fission reaction, where a heavy nucleus splits into lighter nuclei.
4. [tex]\(_6^{13} C +_1^1 H \rightarrow_7^{14} N\)[/tex]
Here, a carbon-13 nucleus combines with a hydrogen nucleus (protium) to form a nitrogen-14 nucleus. This is a fusion reaction, where lighter nuclei combine to form a heavier nucleus.
Based on the analysis, the reactions that are examples of fission are:
- [tex]\(_{94}^{239} Pu +_0^1 n \rightarrow_{58}^{144} Ce +_{36}^{94} Kr +2_0^1 n\)[/tex]
- [tex]\(_{95}^{241} Am +_0^1 n \rightarrow_{57}^{144} La +_{38}^{95} Sr +3_0^1 n\)[/tex]
Thus, the correct fission reactions are reactions 2 and 3.
