Physics
Ventilators are provided near the ceiling of the room because

These provide some sunlight in the room
These do not look nice in the lower part
These provide cross ventilation in the room
The exhaled warmer air rises up and goes out

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

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