The mug I would leave out for 3 or 4 hours, and the bottle maybe 24 hours.
Because of the Pythagorean Theorem.
Wide
It depends on how long the bottle is
Yes because there is more surface area for the water to evaporate.
Yes, the solvent of the polish will evaporate when the lid is off the bottle.
hot and sunny
Generally a regular 750ml bottle diameter is 3", a 1.5l blottle is 4" and a 3l jeroboam is 5".
The perfume will eventually evaporate.
It depends on the volume of water in the bottle and if it is treated, spring or distilled water.
This depends on many factors.
The water on the tray will evaporate faster - more exposed surface.
Bottle caps are about 2 cm in diameter.