Physics
The fundamental scientific principle in the operation of battery is

Dialysis
Acid-base interaction
Dissociation of electrolytes
Oxidation-reduction

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

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