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, we need to analyze the factors that affect the time period of a satellite in orbit around the Earth.

### Step-by-Step Solution:

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

2. **Identifying the Variables:**
From the formula, we can see that the time period \( T \) depends on:
- The radius \( r \) (the distance from the center of the Earth to the satellite),
- The mass of the Earth \( M \),
- The gravitational constant \( G \).

3. **Determining What It Does Not Depend On:**
The formula does not include the mass of the satellite itself. This means that the time period of revolution does not depend on the mass of the satellite.

4. **Conclusion:**
Therefore, the time period of revolution of a satellite projected from the Earth's surface will not depend on its own mass.

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