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

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

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Physics
Specific gravity is defined as the ratio of

Density of the substance to the density of water
Density of the substance to the density of water at 0°C
Density of water at 4°C to the density of the substance
Density of the substance to the density of water at 4°C

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