STATEMENT-1 : Magnetic poles are only mathematical assumptions and have no real existence .
and
STATEMENT-2 : Magnetic field lines are always in closed loops .

Options

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

Answer

To analyze the given statements and determine their validity, we will break down the reasoning step by step.

### Step 1: Understanding Statement 1
**Statement 1:** "Magnetic poles are only mathematical assumptions and have no real existence."

- Magnetic poles always occur in pairs: North and South.
- No magnet exists with only one pole (monopole).
- If a magnet is cut, each piece will still have both a North and South pole.
- Therefore, magnetic poles cannot exist independently; they are always part of a dipole.

**Conclusion for Statement 1:** This statement is true in the sense that magnetic monopoles do not exist; magnetic poles are always found in pairs.

### Step 2: Understanding Statement 2
**Statement 2:** "Magnetic field lines are always in closed loops."

- Magnetic field lines emerge from the North pole and enter the South pole outside the magnet.
- Inside the magnet, the field lines run from the South pole back to the North pole, completing the loop.
- This means that magnetic field lines do not begin or end; they always form closed loops.

**Conclusion for Statement 2:** This statement is also true, as magnetic field lines indeed form closed loops.

### Step 3: Relationship Between the Statements
- Statement 1 discusses the nature of magnetic poles, asserting that they do not exist as isolated entities.
- Statement 2 provides a description of the behavior of magnetic field lines, which is a consequence of the existence of magnetic dipoles.

**Conclusion:** Both statements are true, and Statement 2 provides a correct explanation for Statement 1.

### Final Answer
Both statements are true, and the correct option is **A** (Both statements are true, and Statement 2 is the correct explanation for Statement 1).

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