Problem 51
Question
Which of the following is a fusion reaction? (a) \({ }_{\text {os }} \mathrm{U}^{235}+{ }_{0} \mathrm{n}^{1} \longrightarrow{ }_{56} \mathrm{Ba}^{141}+{ }_{36} \mathrm{Kr}^{92}+3_{0} \mathrm{n}^{1}\) (b) \({ }_{92} \mathrm{Fe}^{219}+{ }_{0} \mathrm{n}^{1} \longrightarrow{ }_{92} \mathrm{U}^{239}+\mathrm{Y}\) (c) \({ }_{26} \mathrm{Fe}^{55}+{ }_{-1} \mathrm{e}^{0} \longrightarrow{ }_{25} \mathrm{Mn}^{55}\) (d) \({ }_{1} \mathrm{H}^{1}+{ }_{1} \mathrm{H}^{1}+2 \underset{0} \mathrm{n}^{1} \longrightarrow{ }_{2} \mathrm{He}^{4}+\) energy
Step-by-Step Solution
Verified Answer
Reaction (d) is a fusion reaction.
1Step 1: Understanding Fusion Reactions
Fusion reactions involve two or more light nuclei coming together to form a heavier nucleus. This process releases energy and usually involves simple elements like Hydrogen isotopes fusing to form Helium.
2Step 2: Analyzing Reaction (a)
Reaction (a) describes the splitting of a Uranium nucleus into smaller parts: \[ \underline{\phantom{xxx}}_{92}^{235}\mathrm{U} + \underline{\phantom{xxx}}_{0}^{1}\mathrm{n} \rightarrow \underline{\phantom{xxx}}_{56}^{141}\mathrm{Ba} + \underline{\phantom{xxx}}_{36}^{92}\mathrm{Kr} + 3\underline{\phantom{xxx}}_{0}^{1}\mathrm{n} \] This process is a fission reaction, not fusion, as the original nucleus splits apart.
3Step 3: Investigating Reaction (b)
Reaction (b) also doesn't fit the fusion criteria: \[ \underline{\phantom{xxx}}_{92}^{219}\mathrm{Fe} + \underline{\phantom{xxx}}_{0}^{1}\mathrm{n} \rightarrow \underline{\phantom{xxx}}_{92}^{239}\mathrm{U} + Y \] This is an example of neutron capture where a neutron causes a change in an atomic number or mass, potentially part of transmutation processes, but not fusion.
4Step 4: Reviewing Reaction (c)
Reaction (c) shows a beta decay process: \[ \underline{\phantom{xxx}}_{26}^{55}\mathrm{Fe} + \underline{\phantom{xxx}}_{-1}^{0}\mathrm{e} \rightarrow \underline{\phantom{xxx}}_{25}^{55}\mathrm{Mn} \] Beta decay is a type of radioactive decay and doesn't fit the criteria for a fusion reaction.
5Step 5: Recognizing Fusion in Reaction (d)
In reaction (d): \[ \underline{\phantom{xxx}}_{1}^{1}\mathrm{H} + \underline{\phantom{xxx}}_{1}^{1}\mathrm{H} + 2\underline{\phantom{xxx}}_{0}^{1}\mathrm{n} \rightarrow \underline{\phantom{xxx}}_{2}^{4}\mathrm{He} + \text{energy} \]Two hydrogen isotopes combine to form a helium nucleus, with the release of energy, which is the typical characteristic of a fusion reaction.
Key Concepts
Nuclear ReactionsFission vs FusionNuclear PhysicsRadioactivity
Nuclear Reactions
Nuclear reactions are processes that change the composition, energy, or structure of an atomic nucleus. These reactions are distinct from chemical reactions, which involve interactions between electrons surrounding an atom. In nuclear reactions, the strong nuclear force plays a key role in determining the behavior and outcome of the reaction.
The key characteristics of nuclear reactions include:
The key characteristics of nuclear reactions include:
- Involvement of atomic nuclei rather than electrons
- Release or absorption of a significant amount of energy
- Potential transformation of elements into other elements
Fission vs Fusion
Fission and fusion are the two main types of nuclear reactions, each with unique properties and applications. Fusion reactions involve the merging of two or more light nuclei to form a heavier nucleus, often resulting in the release of vast amounts of energy. This is commonly observed in stars, including the sun, where hydrogen nuclei fuse to form helium.
- Fusion: Light nuclei combine to form a heavier nucleus, releasing energy.
- Fission: A heavy nucleus splits into smaller nuclei, also releasing energy.
Nuclear Physics
Nuclear physics is the field of physics that studies atomic nuclei and their interactions. It deals with understanding the fundamental components of matter and the forces at play within the atomic nucleus. This branch of physics has a wide range of applications, including nuclear energy production, medical imaging, and cancer treatments.
- Studies nuclear structure and behavior.
- Examines reactions, such as fission and fusion.
- Contributes to advancements in medical technologies.
Radioactivity
Radioactivity refers to the natural or induced process whereby unstable atomic nuclei lose energy by emitting radiation. This phenomenon is a key concept in nuclear physics and has practical applications in various fields, such as medicine, archaeology, and energy.
There are several types of radioactive decay, including:
- Alpha decay: Emission of an alpha particle (helium nucleus).
- Beta decay: Transformation of a neutron into a proton through beta-ray emission.
- Gamma decay: Release of gamma radiation without changing the number of protons or neutrons.
Other exercises in this chapter
Problem 49
Which of the following notations shows the product incorrectly? (a) \({ }_{5} \mathrm{~B}^{10}(\alpha, \mathrm{n})_{7} \mathrm{~N}^{13}\) (b) \({ }_{96} \mathrm
View solution Problem 50
Loss of a \(\beta\) particle is equivalent to (a) increase of one proton only (b) decrease of one neutron only (c) both (a) and (b) (d) none of these
View solution Problem 53
The binding energy of an element is \(64 \mathrm{meV}\). If \(\mathrm{BE} /\) Nucleon is \(6.4\), the number of nucleons are (a) 10 (b) 64 (c) 16 (d) \(6.4\)
View solution Problem 55
Nuclear reactors are usually surrounded by lead and concrete. Which of the following is this safety precaution particularly for? (a) neutron (b) \(\alpha\) part
View solution