Determining the Probability of a Nuclear Fusion Reaction: Solve Here!

In summary, a neutron moving at 3.6×105ms−1 has a 70% chance of initiating a nuclear fusion reaction. The options for the probability of a neutron moving at 2.2×105ms−1 initiating the same nuclear reaction are A) 70%, B) 0%, C) 82%, or D) 56%. It is unknown which option is correct without further information about the cross-section of the reaction at different speeds.
  • #1
jim mcjimbers
2
0

Homework Statement


In a particular nuclear reaction, a neutron moving at 3.6×105ms−1 has a 70% chance of initiating a nuclear fusion reaction. Which of the following options is a possible probability of a neutron moving at 2.2×105ms−1 initiating the same nuclear reaction?

I wouldn't be asking this if I really didn't know where to start. I don't even know which formula to use or how to begin solving this. Any help would be greatly appreciated, thanks!
 
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  • #2
Where are the options?
Are there any reactions where you know if the cross-section is higher or lower for higher/lower speeds?
 
  • #3
mfb said:
Where are the options?
Are there any reactions where you know if the cross-section is higher or lower for higher/lower speeds?

Yeah, the options are
A) 70%
B) 0%
C) 82%
D) 56%
 

1. What is nuclear fusion?

Nuclear fusion is a process in which two or more atomic nuclei combine to form a heavier nucleus, resulting in the release of a large amount of energy.

2. How is the probability of a nuclear fusion reaction determined?

The probability of a nuclear fusion reaction is determined by various factors such as the temperature, density, and pressure of the reactants, as well as the type and energy of the particles involved.

3. What is the role of the Coulomb barrier in nuclear fusion reactions?

The Coulomb barrier is the electrostatic force that exists between positively charged nuclei and prevents them from undergoing fusion. In order for fusion to occur, the nuclei must overcome this barrier through high temperatures and pressures.

4. Can the probability of a nuclear fusion reaction be calculated?

Yes, the probability of a nuclear fusion reaction can be calculated using mathematical models and simulations that take into account the various factors involved in the reaction.

5. How does the probability of a nuclear fusion reaction change with increasing temperature and pressure?

The probability of a nuclear fusion reaction increases with increasing temperature and pressure. This is because higher temperatures and pressures provide the necessary energy and force to overcome the Coulomb barrier and initiate the fusion reaction.

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