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Binding energy of a nucleus is of the or...

Binding energy of a nucleus is of the order of:

A

electron volt (eV)

B

kilo electron volt (keV)

C

mega electron volt (MeV)

D

a joule (J)

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The correct Answer is:
To determine the binding energy of a nucleus, we need to understand what binding energy is and the typical scales associated with it. ### Step-by-Step Solution: 1. **Definition of Binding Energy**: - Binding energy is the energy required to separate a nucleus into its individual protons and neutrons. It is a measure of the stability of the nucleus. 2. **Understanding Energy Units**: - Binding energy can be expressed in various units, including electron volts (eV), kilo electron volts (keV), mega electron volts (MeV), and joules (J). - 1 eV = \(1.6 \times 10^{-19}\) Joules, - 1 keV = \(10^3\) eV, - 1 MeV = \(10^6\) eV. 3. **Typical Values of Binding Energy**: - The binding energy of atomic nuclei typically ranges from a few MeV to several tens of MeV. For example, the binding energy of a helium nucleus is about 28.3 MeV. 4. **Evaluating the Options**: - Option 1: Electron Volt (eV) - This is too low for nuclear binding energies. - Option 2: Kilo Electron Volt (keV) - This is still generally lower than typical nuclear binding energies. - Option 3: Mega Electron Volt (MeV) - This is consistent with the typical values of binding energy observed in nuclei. - Option 4: Joule - While binding energy can be expressed in joules, it is not a common representation for nuclear binding energy. 5. **Conclusion**: - Given the typical range of binding energies for nuclei, the correct answer is that the binding energy of a nucleus is of the order of **mega electron volts (MeV)**. Thus, the correct option is **Option 3**.

To determine the binding energy of a nucleus, we need to understand what binding energy is and the typical scales associated with it. ### Step-by-Step Solution: 1. **Definition of Binding Energy**: - Binding energy is the energy required to separate a nucleus into its individual protons and neutrons. It is a measure of the stability of the nucleus. 2. **Understanding Energy Units**: ...
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