Question

a ship dips to a larger depth in fresh water as compared to marine water

Answer 1

A ship sinks until it has displaced its own weight of water. That is why we refer to the ‘displacement’ of a vessel.

So for your question - the denser the water, the higher the ship will ride.

That is why the Plimsoll marker has differing marks, e.g. for ‘Winter North Atlantic’, since both salinity & temperature affect the density of water.

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