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This is called "condensation" on a glass, and "dew" if it occurs on grass / leaves. When the "dew point" of air is above the temperature of the surface of the glass, condensation will occur as humidity from the air releases heat into the glass and changes state from gas to liquid.
when the hot water in the beaker touches the cool surface of the beaker,the water condenses into water droplets.
Condensation
You can observe water droplets on the surface of a chilled bottle because the temperature of the atmosphere is a different temperature to that of the temperature in the chilled bottle.
The water droplets are the result of the humidity in the air colling down and condensing on the outside of the glass. When water evaporates it turns into water vapor or steam we call the amount of water vapor in the air humidity. condensation is the reverse of evaporation and is also responsible for rain.
As the liquid inside the glass tumbler is cold it condenses the water vapour in the atmosphere. This explains why tiny droplets of water are found on the outer surface of the glass tumbler.
If warm moist air comes into contact with the cold outer surface of a glass of water, condensation takes place.
Your question is imprecise - we do not get the point of what you are asking. Water droplets can be found on the outer surface of a cup if it has just been washed!
This is because the air around the tumbler contains water vapour in it. When these water vapour came in contact with the cold, they contact with cold water, loses energy and converted into liquid state, which we see as water droplets.
The water is too hot
That is because warm air outside the glass contains moisture and that moisture condenses on cold surfaces since cold air on the glass surface cannot hold as much moisture as warm air. It is the same effect as fog on the bathroom mirror after running a hot shower.
The cold glass cools the air surrounding the glass. This in turn condenses water vapor in the air such that little water droplets form around the surface of the glass. These droplets are what you recognize as being moist :)
Warm air can hold more moisture than cold air. When warm air comes in contact with a cold glass, it is cooled. The moisture that can no longer be held in the cooler air condenses on nearby surfaces, in this case the glass.
The hot heat from the hot water turns evaporates. Once it reaches or touches a cool surface (mirror), the heat would condense and turn into water droplets. Therefore, water droplets are found in the mirror when you bath.
Water vapor in your breath condenses as tiny droplets of liquid water on the cold glass surface.
This is called "condensation" on a glass, and "dew" if it occurs on grass / leaves. When the "dew point" of air is above the temperature of the surface of the glass, condensation will occur as humidity from the air releases heat into the glass and changes state from gas to liquid.
It's called condensation. The temperature difference between the bottle and the surrounding air - causes water to condense out onto the bottle's surface.