A body is projected from earth's surface to become its satellite, its time period of revolution will not depend upon

Options

A. mass of earth
B. its own mass
C. gravitational constant
D. radius or orbit

Explanation

To solve the question regarding the time period of a satellite projected from the Earth's surface, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Satellite Motion**:
A satellite in orbit around a planet experiences a gravitational force that provides the necessary centripetal force for its circular motion. The time period of revolution of a satellite can be derived from Newton's law of gravitation and circular motion principles.

2. **Use the Formula for Time Period**:
The time period \( T \) of a satellite in orbit is given by the formula:
\[ T = 2\pi \sqrt{\frac{r^3}{GM}} \]
where:
- \( T \) = time period of the satellite
- \( r \) = radius of the orbit (distance from the center of the Earth to the satellite)
- \( G \) = universal gravitational constant
- \( M \) = mass of the Earth

3. **Identify the Variables**:
From the formula, we can see that the time period \( T \) depends on:
- The radius \( r \) of the orbit
- The gravitational constant \( G \)
- The mass of the Earth \( M \)

4. **Determine What the Time Period Does Not Depend On**:
The question asks what the time period does not depend on. The time period \( T \) does not depend on the mass of the satellite itself. This is because the mass of the satellite cancels out when equating gravitational force to centripetal force.

5. **Conclusion**:
Therefore, the time period of revolution of a satellite projected from the Earth's surface does not depend on the mass of the satellite.

### Final Answer:
The time period of revolution will not depend on the mass of the satellite.