STATEMENT - 1 : When there is mutual induction between two coils, their self inductance does not play a significant role.
and
STATEMENT - 2 : Self induction can take place in an isolated coil.

Options

A. Statement-1 is True, Statement-2, is True, Statement-2 is a correct explanation for Statement-3
B. Statement-1 is True, Statement-2, is True, Statement-2 is NOT a correct explanation for Statement-3
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True

Answer

To analyze the given statements, we can break down the reasoning step by step.

### Step 1: Analyze Statement 1
**Statement 1:** When there is mutual induction between two coils, their self-inductance does not play a significant role.

- **Explanation:** Mutual induction occurs when a change in current in one coil induces an electromotive force (EMF) in another coil. However, each coil also has its own self-inductance, which is the property of a coil to induce an EMF in itself due to a change in its own current.
- **Conclusion:** The self-inductance of each coil is significant because it affects how the coils interact with each other. Therefore, this statement is **false**.

### Step 2: Analyze Statement 2
**Statement 2:** Self-induction can take place in an isolated coil.

- **Explanation:** Self-induction refers to the phenomenon where a changing current in a coil induces an EMF in itself. This can occur even in an isolated coil, as long as there is a current flowing through it. The changing current creates a magnetic field, which in turn induces an EMF opposing the change in current (according to Lenz's law).
- **Conclusion:** Since self-induction can indeed occur in an isolated coil, this statement is **true**.

### Final Conclusion
- **Statement 1:** False
- **Statement 2:** True

Thus, the correct option is that Statement 1 is false and Statement 2 is true.