Average binding energy per nucleon over a wide range is

Options

A. `8` MeV
B. `8` eV
C. `8 J`
D. `8` erg

Answer

To solve the problem of finding the average binding energy per nucleon over a wide range, we can follow these steps:

### Step 1: Understand Binding Energy per Nucleon
Binding energy per nucleon is defined as the energy required to disassemble a nucleus into its individual nucleons (protons and neutrons). It is usually expressed in mega electron volts (MeV).

**Hint:** Remember that binding energy per nucleon is an important concept in nuclear physics that indicates the stability of a nucleus.

### Step 2: Analyze the Given Information
From the problem, we know that the average binding energy per nucleon over a wide range is being asked. The options provided include 8 MeV, 8 eV, 8 Joules, and 8 erg.

**Hint:** Pay attention to the units of the options provided, as they can help you identify the correct answer.

### Step 3: Reference the Binding Energy Curve
The binding energy per nucleon versus mass number (A) curve shows that the binding energy per nucleon increases with mass number up to a certain point and then levels off. The maximum binding energy per nucleon occurs around iron (A = 56).

**Hint:** Consider the significance of the mass number and how it relates to the stability of the nucleus.

### Step 4: Identify the Average Value
The average binding energy per nucleon is typically around 8 MeV for a wide range of nuclei. This value is derived from the behavior of the binding energy curve.

**Hint:** Look for a general trend in nuclear physics that indicates average values for binding energy.

### Step 5: Conclude the Answer
Based on the analysis and the binding energy curve, we conclude that the average binding energy per nucleon over a wide range is approximately 8 MeV.

**Final Answer:** The average binding energy per nucleon over a wide range is **8 MeV**.

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