Physics
The absorption of ink by blotting paper involves:

Capillary action phenomenon
Viscosity of ink
Siphon action
Diffusion of ink through the blotting

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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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