Assertion : The binding energy of a satellite does not depend upon the mass of the satellite.
Reason : Binding energy is the negative value of total energy of satellite.

Options

A. If both Assertin and Reason are correct and Reason is the correct explanation of Assertion
B. If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
C. If Assertion is true but Reason is false
D. If Assertion is false but Reason is true

Answer

To solve the question regarding the assertion and reason about the binding energy of a satellite, let's analyze both statements step by step.

### Step 1: Understand the Assertion
**Assertion:** The binding energy of a satellite does not depend upon the mass of the satellite.

**Analysis:** The binding energy (BE) of a satellite is defined as the minimum energy required to remove the satellite from the gravitational influence of the Earth. The formula for the binding energy of a satellite in a circular orbit is given by:

\[ BE = -\frac{GMm}{2r} \]

where:
- \( G \) is the gravitational constant,
- \( M \) is the mass of the Earth,
- \( m \) is the mass of the satellite,
- \( r \) is the distance from the center of the Earth to the satellite.

From this formula, we can see that the binding energy is directly proportional to the mass of the satellite \( m \). Therefore, the assertion that binding energy does not depend on the mass of the satellite is **false**.

### Step 2: Understand the Reason
**Reason:** Binding energy is the negative value of the total energy of the satellite.

**Analysis:** The total mechanical energy (E) of a satellite in orbit is given by:

\[ E = -\frac{GMm}{2r} \]

The binding energy is indeed the negative of the total energy, which means:

\[ BE = -E \]

Thus, the reason provided is **true**.

### Conclusion
Based on the analysis:
- The assertion is **false** because binding energy does depend on the mass of the satellite.
- The reason is **true** because binding energy is defined as the negative of the total energy.

### Final Answer
The correct option is: **Assertion is false, but reason is true.**

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