Find the speed of the alpha particle after the reaction

In summary, for the given nuclear reaction where 1 neutron and 10B collide to form 7Li and 4He, assuming negligible initial kinetic energy and momentum, we need to calculate the speed of the alpha particle after the reaction. To do so, we can use the equations E = mrestc^2 and Ek = (mtotal (before) - mtotal (after))c^2. However, since there is no change in mass, we cannot use these equations and must instead look up the masses of the particles involved. This is because the "binding energy" of a nucleus, which determines its mass, comes from the strong nuclear force that holds the protons and neutrons together.
  • #1
student34
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Homework Statement



For the nuclear reaction, 1 neutron (1/0n) + 10/5B → 7/3L + 4/2He (alpha particle) assume that the initial kinetic energy and momentum of the reacting particles are negligible. Calculate the speed of the alpha particle immediately after it leaves the reaction.

Homework Equations



E = mrestc^2

Ek = (mtotal (before) - mtotal (after))c^2

The Attempt at a Solution



I really have no idea because there is no change in mass that I can see, and that is all I had to look for with questions similar to these in this chapter.
 
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  • #2
##\renewcommand{\e}[1]{\text{#1}} \e n_0^1 + \e B_5^{10} \to \e{Li}_3^7 + \e{He}_2^4##
I really have no idea because there is no change in mass that I can see, and that is all I had to look for with questions similar to these in this chapter.

Did you look up the masses or just go by the number of nucleons?
 
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  • #3
Simon Bridge said:
##\renewcommand{\e}[1]{\text{#1}} \e n_0^1 + \e B_5^{10} \to \e{Li}_3^7 + \e{He}_2^4##


Did you look up the masses or just go by the number of nucleons?

I only used the number of protons and neutrons. I can't think of any other reason why they would have a different mass.
 
  • #4
student34 said:
I only used the number of protons and neutrons. I can't think of any other reason why they would have a different mass.

I'd check the masses out then :)
 
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  • #5
Yep - go look up the masses :)
Write back with a list.

Consider: where does the "binding energy" of a nucleus come from?
 

Related to Find the speed of the alpha particle after the reaction

1. What is an alpha particle?

An alpha particle is a type of nuclear radiation composed of two protons and two neutrons, which is essentially the same as a helium nucleus.

2. What is the reaction that determines the speed of the alpha particle?

The reaction that determines the speed of the alpha particle is radioactive decay, specifically alpha decay. This is when a heavy, unstable nucleus releases an alpha particle in order to become more stable.

3. How is the speed of the alpha particle calculated?

The speed of the alpha particle can be calculated using the equation v = √(2KE/m), where v is the speed, KE is the kinetic energy, and m is the mass of the alpha particle. The kinetic energy can be found using the equation KE = (mv²)/2.

4. What factors can affect the speed of the alpha particle after the reaction?

The speed of the alpha particle can be affected by the mass of the alpha particle, the amount of energy released in the reaction, and any external forces acting on the particle, such as magnetic or electric fields.

5. Why is it important to know the speed of the alpha particle after the reaction?

Knowing the speed of the alpha particle after the reaction is important in understanding the behavior of nuclear radiation and its potential effects on biological organisms. It can also provide valuable information for various scientific and technological applications, such as in nuclear power plants and medical treatments using radiation therapy.

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