Physics
When hot liquid is poured into a thick glass tumbler, it cracks because glass :

Has high temperature coefficient of expansion
Is a bad conductor of heat so only inner surface expands
Has a very low specific heat
Has low temperature coefficient of expansion

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

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

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