Why do we feel light on our feet when standing in a swimming pool with water up to our armpits ?

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Solution

It's because of buoyant drive. Buoyant force makes you suppose lighter within the water as it normally works in opposition to the gravity according to Archimedes principle.
Water exerts an upward force on all the objects immersed in it. Gravitational drive of enchantment of earth acts in downward direction however water exerts an upward drive on our physique once we standing in water , so we feel lighter.

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