Alpha particle touching Gold nucleus

In summary, the conversation discusses the minimum required kinetic energy for an alpha particle in a head-on collision with a gold nucleus. The equation Ue=(kq1q2)/r is used to calculate the energy, but there is concern about the high value obtained. The alpha particle needs to move from infinity to a distance of ralpha + rau femtometres from the centre of the gold nucleus. The unit of q is not specified.
  • #1
kraigandrews
108
0

Homework Statement


If the radius of the gold nucleus is 6.47 fm, and the radius of the α particle is 2.36 fm, then what is the minimum required kinetic energy for the α particle if we want the two nuclear surfaces to touch in a head-on collision?

Homework Equations


Ue=(kq1q2)/r


The Attempt at a Solution


so using Ue=KE
q1=2
q2=79

then it should be straightforward plug and chug, however the KE this yields is very high, around 3E45 eV this cannot be right, what am I doing wrong?
 
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  • #2
The alpha-particle moves from infinity to a distance of ralpha + rau femtometres from the centre of the gold nucleus.
 
  • #3
kraigandrews said:

The Attempt at a Solution


so using Ue=KE
q1=2
q2=79


what is the unit of q?

ehild
 

FAQ: Alpha particle touching Gold nucleus

1. What is an alpha particle?

An alpha particle is a type of nuclear radiation that consists of two protons and two neutrons, which is essentially a helium nucleus. It has a positive charge and is emitted during radioactive decay.

2. How does an alpha particle interact with a gold nucleus?

When an alpha particle comes into contact with a gold nucleus, it can either be scattered or absorbed. The interaction depends on the angle of the alpha particle's approach and the size and density of the gold nucleus.

3. What is the significance of an alpha particle touching a gold nucleus?

This interaction is significant because it can provide valuable information about the structure and properties of the gold nucleus. It can also be used for various applications, such as in medical treatments and nuclear energy production.

4. Can an alpha particle damage a gold nucleus?

Yes, an alpha particle can cause damage to the gold nucleus, depending on the energy of the particle and the strength of the interaction. This is often seen in nuclear reactions and can result in the formation of new elements.

5. How is the interaction between an alpha particle and a gold nucleus studied?

Scientists use various techniques, such as scattering experiments, to study the interaction between an alpha particle and a gold nucleus. These experiments involve shooting alpha particles at a gold target and analyzing the resulting data to understand the behavior and characteristics of the particles and the nucleus.

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