Physics
The velocity of falling rain drops attains a terminal value because of

Air current
Surface tension
Viscous force exerted by air
Upward thrust due to air

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Physics
An egg sinks in soft water but floats in a concentrated solution of salt because

Albumin dissolves in salt solution and egg becomes lighter
The density of salt solution exceeds the density of eggs
Water has high surface tension
Egg absorbs salt from the solution and expands

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