Why does a freely suspended iron does not show N-S direction?

A freely suspended iron piece does not show a distinct north-south direction because it is not magnetized. Unlike a permanent magnet, which has a defined magnetic field with a north and south pole, an unmagnetized iron piece has randomly oriented magnetic domains that cancel each other out. As a result, it lacks a net magnetic moment and cannot align itself along the Earth's magnetic field. Only when magnetized can iron exhibit a clear N-S orientation.