Physics
A stone floor feels cold to the bare feet but a carpet on the same floor feels warm. This is because

The stone conveys the heat away from the feet more rapidly than the carpet
The carpet is a better conductor of heat than the stone
The floor and carpet are at different temperatures
The human body maintains a constant temperature

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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
Egg absorbs salt from the solution and expands
Water has high surface tension

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