Calculating Work Done to Bring Proton to Hydrogen Atom Nucleus

In summary, the work done by an external force to bring in another proton to the "surface" of the nucleus can be calculated by finding the change in electric potential when the proton is moved from very far away to a distance of 1 x 10-15 m from the already present proton. This quantity can then be related to the work done by the external force, taking into account the units and sign. The radius of the hydrogen nucleus is 1 x 10-15 m and the electron is about 5.4 x 10-11 m from the nucleus, while the hydrogen atom is assumed to be a ball with a radius of 5.4 x 10-11 m and the nucleus is a ball with a
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A hydrogen nucleus has a radius of 1 x 10-15 m and the electron is about 5.4 x 10-11 m from the nucleus. Assume the hydrogen atom is a ball with a radius of about 5.4 x 10-11 m and the nucleus is a ball with a radius of 1 x 10-15 m.

How much work (in electron volts) must be performed by an external force to bring in another proton (from very far away) to the "surface" of the nucleus? (Ignore the effects of the electron.)

HELP: Find the change in electric potential when proton is moved from very far away to the surface of the nucleus (a distance of 1 x 10-15 m from the proton that is already there).

HELP: Now relate this quantity to the work done by the external force. Watch your units and be careful of the sign!
 
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How much work (in electron volts) must be performed by an external force to bring in another proton (from very far away) to the "surface" of the nucleus? (Ignore the effects of the electron.)

HELP: Find the change in electric potential when proton is moved from very far away to the surface of the nucleus (a distance of 1 x 10-15 m from the proton that is already there).

HELP: Now relate this quantity to the work done by the external force. Watch your units and be careful of the sign!
 

Related to Calculating Work Done to Bring Proton to Hydrogen Atom Nucleus

1. How is the work done to bring a proton to a hydrogen atom nucleus calculated?

The work done to bring a proton to a hydrogen atom nucleus can be calculated using the formula W = -qV, where q is the charge of the proton and V is the voltage between the proton and the nucleus.

2. What is the unit of measurement for work done in this scenario?

The unit of measurement for work done in this scenario is joules (J).

3. Is the work done positive or negative when bringing a proton to a hydrogen atom nucleus?

The work done is negative when bringing a proton to a hydrogen atom nucleus because the proton is moving towards a region of higher potential (the nucleus).

4. How does the distance between the proton and the nucleus affect the work done?

The work done is directly proportional to the distance between the proton and the nucleus. As the distance decreases, the work done increases.

5. Can the work done be calculated for other particles besides a proton and a hydrogen atom nucleus?

Yes, the work done can be calculated for any charged particle and its corresponding nucleus using the same formula, W = -qV.

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