Out of the following , the only correct statement about satellites is

Options

A. A satellite cannot move in a stable orbit in a plane passing through the earth's center
B. Geostationary satellites are launched in the equatorial plane
C. We can use just one geostationary satellite for global communication around the globe
D. The speed of satellite increases with an increase in the radius of its orbit

Answer

To solve the question regarding the correct statement about satellites, let's analyze each of the statements provided:

### Step 1: Analyze Statement 1
**Statement 1:** A satellite cannot move in a stable orbit in a plane passing through the earth's center.

- **Explanation:** A satellite can indeed move in a stable orbit in a plane that passes through the center of the Earth. The gravitational force acts towards the center of the Earth, allowing the satellite to maintain a stable orbit. Therefore, this statement is **false**.

### Step 2: Analyze Statement 2
**Statement 2:** Geostationary satellites are launched in an equatorial plane.

- **Explanation:** Geostationary satellites are positioned directly above the equator and rotate with the Earth at the same angular speed. This allows them to remain fixed over a specific point on the Earth's surface. Thus, this statement is **true**.

### Step 3: Analyze Statement 3
**Statement 3:** We can use one geostationary satellite for global communication around the globe.

- **Explanation:** A single geostationary satellite cannot cover the entire globe due to its limited range. It can only communicate with the area directly beneath it, leaving the opposite side of the Earth without coverage. Therefore, this statement is **false**.

### Step 4: Analyze Statement 4
**Statement 4:** The speed of a satellite increases with an increase in its radius of the orbit.

- **Explanation:** The orbital speed of a satellite is given by the formula \( v = \sqrt{\frac{GM}{r}} \), where \( G \) is the gravitational constant, \( M \) is the mass of the Earth, and \( r \) is the radius of the orbit. This shows that as the radius \( r \) increases, the speed \( v \) actually decreases. Thus, this statement is **false**.

### Conclusion
After analyzing all the statements, the only correct statement about satellites is **Statement 2**: Geostationary satellites are launched in an equatorial plane.

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