(A): An induced current develop in a conductor moved in a direction parallel to the magnetic field. (R): An induced current is developed when the number of magnetic lines of force associated with conductor is changed.

Options

A. Both .A. and .R. are true and .R. is the correct explanation of .A.
B. Both .A. and .R. are true and .R. is not the correct explanation of .A.
C. .A. is true and .R. is false
D. .A. is false and .R. is true

Answer

To solve the question, we need to analyze both the assertion (A) and the reason (R) given in the problem.

### Step 1: Analyze the Assertion (A)
The assertion states: "An induced current develops in a conductor moved in a direction parallel to the magnetic field."

- When a conductor moves in a magnetic field, an induced current is generated if there is a change in magnetic flux through the conductor.
- If the conductor moves parallel to the magnetic field lines, there is no change in the magnetic flux linked with the conductor. This is because the angle between the magnetic field and the area vector of the conductor remains constant.
- Therefore, no induced current is generated when the conductor moves parallel to the magnetic field.

**Conclusion for Assertion (A)**: The assertion is **false**.

### Step 2: Analyze the Reason (R)
The reason states: "An induced current is developed when the number of magnetic lines of force associated with the conductor is changed."

- This statement is true. According to Faraday's law of electromagnetic induction, an induced current is produced when there is a change in magnetic flux through the conductor.
- The magnetic flux is proportional to the number of magnetic lines of force passing through the area of the conductor. If the number of lines of force changes, the magnetic flux changes, leading to the generation of an induced current.

**Conclusion for Reason (R)**: The reason is **true**.

### Step 3: Determine the Relationship Between A and R
- The assertion is false, while the reason is true.
- The reason does not explain the assertion because the assertion itself is incorrect.

### Final Conclusion
- Assertion (A) is false.
- Reason (R) is true.
- Therefore, the correct answer is that the assertion is false, and the reason is true.