Assertion : An artificial satellite with a metal surface is moving above the earth in a circular orbit. A current will be induced in satellite if the plane of the orbit is inclined to the plane of the equator.
Reason : The current will be induced only when the speed of satellite is more than 8 km/sec.

Options

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.

Explanation

To solve the given question, we need to analyze both the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that an artificial satellite with a metal surface moving above the Earth in a circular orbit will have an induced current if the plane of its orbit is inclined to the plane of the equator.
- This is based on the principle of electromagnetic induction, which states that a changing magnetic field through a closed loop induces an electromotive force (emf) and hence a current.

2. **Magnetic Field of the Earth**:
- The Earth has a magnetic field that is approximately uniform near its surface. When a metal satellite moves in an inclined orbit, it experiences a change in the magnetic field lines that pass through the satellite due to its motion relative to the Earth's magnetic field.

3. **Induced Current**:
- As the satellite moves through different orientations of the Earth's magnetic field (due to the inclination of its orbit), the magnetic flux through the satellite changes. According to Faraday's law of electromagnetic induction, a change in magnetic flux induces an emf in the satellite, which leads to the flow of induced current.

4. **Conclusion on Assertion**:
- Therefore, the assertion is **true**: an induced current will indeed occur in the satellite if its orbit is inclined relative to the Earth's equatorial plane.

5. **Understanding the Reason**:
- The reason states that the current will be induced only when the speed of the satellite is more than 8 km/s.
- This statement is misleading because the induction of current depends on the change in magnetic flux and not solely on the speed of the satellite.

6. **Speed of the Satellite**:
- While the speed of the satellite can affect the rate at which it cuts through the magnetic field lines, it is not a necessary condition for the induction of current. Even at lower speeds, if the satellite is in an inclined orbit, the changing magnetic field can still induce a current.

7. **Conclusion on Reason**:
- Therefore, the reason is **false**: the induction of current does not depend on the satellite's speed being greater than 8 km/s.

### Final Answer:
- The assertion is **true** and the reason is **false**.

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