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 solve the problem of finding 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 (PE) of the satellite is given as \( -2 \) MJ (Mega Joules).

2. **Understanding the Relationship**:
- The total energy (TE) of a satellite in orbit is related to its potential energy (PE) and kinetic energy (KE) as follows:
\[ TE = PE + KE \]
- For a satellite, the potential energy is given by:
\[ PE = -\frac{GMm}{r} \]
- The kinetic energy is given by:
\[ KE = \frac{1}{2} \frac{GMm}{r} \]

3. **Total Energy in Terms of Potential Energy**:
- The total energy can also be expressed in terms of potential energy:
\[ TE = PE + \frac{1}{2}(-PE) = -\frac{1}{2} PE \]
- Therefore, we can express potential energy as:
\[ PE = -2 \times TE \]

4. **Calculate Total Energy**:
- Since we know the potential energy \( PE = -2 \) MJ, we can find the total energy:
\[ TE = -\frac{PE}{2} = -\frac{-2 \text{ MJ}}{2} = -1 \text{ MJ} \]

5. **Binding Energy**:
- The binding energy (BE) of a satellite is defined as the energy required to remove the satellite from the gravitational influence of the planet. It is given by:
\[ BE = -TE \]
- Substituting the value of total energy:
\[ BE = -(-1 \text{ MJ}) = 1 \text{ MJ} \]

### Final Answer
The binding energy of the satellite is **1 MJ**.

---