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
The exhaled warmer air rises up and goes out
These provide cross ventilation in the room

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Physics
The law of conservation of energy states that

Energy can either be created or destroyed
Energy can neither be created or destroyed
Energy can neither be created nor destroyed
Energy can either be created nor destroyed

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