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
Water has high surface tension
Egg absorbs salt from the solution and expands
The density of salt solution exceeds the density of eggs

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Physics
In a railway track, two rails are joined end to end with a gap in between them because

Air-gaps are necessary for bearing the weight of running train
Accidents due to expansion in summer can be avoided
Steel can be saved
Accidents due to contraction in winter can be avoided

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