Problem 33
Question
Why are nuclear transmutations involving neutrons generally easier to accomplish than those involving protons or alpha particles?
Step-by-Step Solution
Verified Answer
Nuclear transmutations involving neutrons are generally easier to accomplish than those involving protons or alpha particles due to the absence of electrostatic repulsion, lower energy requirements, and the ability of neutrons to easily interact with other particles in the nucleus. Neutrons, being uncharged, do not experience repulsion when approaching the nucleus, allowing for penetration at lower kinetic energies and easier interaction with protons and neutrons, leading to nuclear transmutations.
1Step 1: Understanding Electrostatic Repulsion
In the case of protons and alpha particles, both consist of positively charged particles. As a result, when trying to bring them towards the nucleus, they experience significant electrostatic repulsion from the existing positive charge within the nucleus. This repulsion makes it difficult for these particles to get close enough to initiate a nuclear reaction.
On the other hand, neutrons have no electric charge. This means that neutrons do not experience any electrostatic repulsion when approaching the nucleus, making it easier for them to be absorbed by the nucleus and trigger a nuclear transmutation.
2Step 2: Energy Requirements
The energy requirements for nuclear transmutations involving neutrons are generally lower than those involving protons or alpha particles. This is primarily due to the absence of electrostatic repulsion for neutrons. As a result, neutrons can penetrate the nucleus at lower kinetic energies and still initiate a nuclear reaction. On the other hand, protons and alpha particles need to overcome the electrostatic repulsion, requiring higher kinetic energies to get close enough to the nucleus.
3Step 3: Interaction with Other Particles
Neutrons can easily interact with other particles in the nucleus, such as protons and other neutrons, due to the strong nuclear force. When a neutron is added to the nucleus, it can cause the protons and neutrons to rearrange themselves in the nucleus to form a new element. This rearrangement leads to a nuclear transmutation.
In contrast, protons and alpha particles need to overcome the electrostatic repulsion to get close enough to interact with other particles in the nucleus. Additionally, the introduction of additional protons can lead to instability in the nucleus, making it more challenging to achieve a stable transmutation.
4Step 4: Conclusion
Nuclear transmutations involving neutrons are generally easier to accomplish than those involving protons or alpha particles. This is because neutrons do not experience electrostatic repulsion when approaching the nucleus, have lower energy requirements for reactions, and can easily interact with other particles in the nucleus to cause a nuclear transmutation.
Other exercises in this chapter
Problem 31
Using the concept of magic numbers, explain why alpha emission is relatively common, but proton emission is nonexistent.
View solution Problem 32
Which of the following nuclides would you expect to be radioactive: \({ }_{26}^{58} \mathrm{Fe},{ }_{27}^{60} \mathrm{Co},{ }_{41}^{92} \mathrm{Nb}\), mercury-2
View solution Problem 34
In 1930 the American physicist Ernest Lawrence designed the first cyclotron in Berkeley, California. In 1937 Lawrence bombarded a molybdenum target with deuteri
View solution Problem 35
Complete and balance the following nuclear equations by supplying the missing particle: (a) \({ }_{58}^{252} \mathrm{Cf}+{ }_{5}^{10} \mathrm{~B} \longrightarro
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