Use i the Ampere's law for H and ii continuity of lines of B, to conclude that inside a bar magnet, (a) lines of H run from the N-pole to S-pole while (b) lies of B must run from the S-pole to N -pole.

Explanation

To solve the question regarding the behavior of magnetic fields inside a bar magnet using Ampere's law and the continuity of magnetic field lines, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Ampere's Law for H**:
Ampere's law states that the line integral of the magnetic field intensity \( \mathbf{H} \) around a closed loop is equal to the current enclosed by that loop. Mathematically, it can be expressed as:
\[
\oint \mathbf{H} \cdot d\mathbf{l} = I_{\text{enc}}
...