# Question regarding radius of circular paths (chapter the nucleus)

• Sanosuke Sagara
In summary, the conversation discusses a solution to a problem involving the calculation of velocity and radius of an electron beam in a magnetic field. The solution is found to be too complicated and the conversation includes a summary of the steps involved in the calculation. The speaker expresses gratitude for the help and detailed explanation provided.
Sanosuke Sagara
I have my doubt,solution and question in the attachment that followed.Thanks for anybody that spend some time on this question.

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• Doc 4 (the nucleus).doc
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OK the problem with your solution is that You have made it a bit too complicated.
First of all ,
After accelerating through a potential , the electrons gain certain amount of K.E , which can be calculate din the following way:

$eV= \frac{1}{2}mv^2$

From The KE , calculate velocity gained by the electron beam.

Now if you have studied how charged particles behave in magnetic fields, you should know that electrons when enter prependicular to a magnetic field, start moving in a circle.

Force due to a Magnetic field on an electron provides the centripedal force necessary for moving in circle. therefore,

$F= -e(VxB) = m \frac{v^2}{R}$

From here calculate the radius of the beam...easy ..isnt it?

Yes,Dr Brain.Thanks for your help and I really appreciate it.Thanks again for your explanation in detail.

## 1. What is the radius of circular paths in an atom's nucleus?

The radius of circular paths in an atom's nucleus is extremely small, on the order of 10^-15 meters. This is much smaller than the size of the nucleus itself.

## 2. How does the radius of circular paths in the nucleus relate to the size of the nucleus?

The radius of circular paths in the nucleus is significantly smaller than the size of the nucleus. This is because the radius represents the distance from the center of the nucleus to the outer edge of the circular path, while the size of the nucleus includes the entire volume of the nucleus.

## 3. What determines the radius of circular paths in the nucleus?

The radius of circular paths in the nucleus is determined by the energy level of the electron in orbit around the nucleus. The higher the energy level, the further the electron's orbit is from the nucleus, resulting in a larger radius.

## 4. Does the radius of circular paths in the nucleus change?

Yes, the radius of circular paths in the nucleus can change depending on the energy level of the electron. As the electron gains or loses energy, its orbit can shift and the radius of the circular path will change accordingly.

## 5. How does the radius of circular paths in the nucleus affect the stability of an atom?

The radius of circular paths in the nucleus is an important factor in determining the stability of an atom. Atoms with larger radii tend to be more stable because the electrons are further from the positively charged nucleus, reducing the likelihood of attraction and potential instability.

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