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If the nuclear force between two protons...

If the nuclear force between two protons, two neutrons and between proton and neutron is denoted by `F_(p p), F_(n n)` and `F_(pn)` respectively, then

A

`F_(p p) ~~F_(n n)~~F_(pn)`

B

`F_(p p) ne F_(n n)` and `F_(p p)=F_(n n)`

C

`F_(p p)=F_(n n)=F_(pn)`

D

`F_(p p) ne F_(n n) ne F_(pn)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the nuclear forces between protons and neutrons, we can analyze the relationships between the forces denoted as \( F_{pp} \), \( F_{nn} \), and \( F_{pn} \). ### Step-by-Step Solution: 1. **Understanding Nuclear Forces**: - The nuclear force is the force that holds protons and neutrons together in the nucleus of an atom. It is a strong force that acts between nucleons (protons and neutrons). 2. **Identifying the Forces**: - Let \( F_{pp} \) be the nuclear force between two protons. - Let \( F_{nn} \) be the nuclear force between two neutrons. - Let \( F_{pn} \) be the nuclear force between a proton and a neutron. 3. **Comparing the Forces**: - The nuclear force is a short-range force and is approximately the same for all nucleons when they are in close proximity. This means that the strength of the nuclear force does not depend significantly on whether the nucleons are protons or neutrons. - Therefore, we can state that: \[ F_{pp} \approx F_{nn} \approx F_{pn} \] 4. **Conclusion**: - Since the nuclear force is similar between any two nucleons, we conclude that: \[ F_{pp} = F_{nn} = F_{pn} \] - Thus, the correct answer is that all three forces are approximately equal. ### Final Answer: The nuclear forces are equal: \( F_{pp} = F_{nn} = F_{pn} \). ---
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