If potential energy of a satellite is `-2` MJ ,then the binding energy of satellite is .

Options

A. 1 MJ
B. 2 MJ
C. 8 MJ
D. 4 MJ

Answer

To find the binding energy of a satellite given its potential energy, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Information**:
- The potential energy (U) of the satellite is given as \( U = -2 \) MJ (mega joules).
- We need to convert this into joules for calculations:
\[ U = -2 \times 10^6 \text{ J} \]

2. **Understand the Relationship Between Binding Energy and Potential Energy**:
- The binding energy (BE) of a satellite is related to its potential energy by the formula:
\[ BE = -\frac{1}{2} U \]

3. **Substitute the Value of Potential Energy into the Binding Energy Formula**:
- Substitute \( U = -2 \times 10^6 \) J into the binding energy formula:
\[ BE = -\frac{1}{2} \times (-2 \times 10^6) \]

4. **Calculate the Binding Energy**:
- Simplifying the equation:
\[ BE = \frac{1}{2} \times 2 \times 10^6 \]
\[ BE = 1 \times 10^6 \text{ J} \]

5. **Convert the Binding Energy Back to Mega Joules**:
- Since \( 1 \times 10^6 \) J is equal to 1 MJ, we conclude:
\[ BE = 1 \text{ MJ} \]

6. **Final Answer**:
- The binding energy of the satellite is \( 1 \) MJ.