Assertion If a loop is placed in a non-uniform (with respect to position) magnetic field, then induced emf is produced in the loop.
Reason In a non-uniform magnetic field, magnetic flux passing through the loop will change. Therefore, induced emf is produced.

Options

A. If both Assertion and Reason are corrent and Reason is the corrent explanation of Assertion.
B. If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
C. If Assertion is true but Reason is false.
D. If Assertion is false but Reason is ture.

Explanation

To analyze the assertion and reason provided in the question, we will break down the concepts of induced EMF, magnetic fields, and magnetic flux.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that if a loop is placed in a non-uniform magnetic field, then induced EMF is produced in the loop.
- A non-uniform magnetic field means that the magnetic field strength varies with position. However, this does not necessarily imply that the magnetic field is changing with time.

2. **Understanding the Reason**:
- The reason given states that in a non-uniform magnetic field, the magnetic flux passing through the loop will change, and therefore, induced EMF is produced.
- Magnetic flux (Φ) is defined as the product of the magnetic field (B) and the area (A) through which it passes, and it is given by the formula:
\[ Φ = B \cdot A \cdot \cos(θ) \]
- Here, θ is the angle between the magnetic field and the normal to the surface of the loop.

3. **Analyzing the Relationship**:
- For an induced EMF (ε) to be produced, there must be a change in magnetic flux through the loop over time, which is expressed mathematically as:
\[ ε = -\frac{dΦ}{dt} \]
- A non-uniform magnetic field can lead to a change in magnetic flux if the field strength varies with position and if the position of the loop changes or if the field itself changes with time.

4. **Conclusion**:
- The assertion is **false** because a non-uniform magnetic field alone does not guarantee that induced EMF will be produced; the magnetic field must also be changing with time.
- The reason is **true** in the context that if the magnetic field is changing (not just non-uniform), then the magnetic flux will change, leading to induced EMF.

5. **Final Answer**:
- Therefore, the assertion is false and the reason is true. The correct option is that the assertion is false and the reason is true.