when heat is applied to a metal with a hole in it ? why does the radius of hole increase?
This short answer I'm presenting first is a little unscientific, but: the metal body does not know it has a hole in it. All dimensions will grow due to thermal expansion, including the diameter of the hole. You can also think that if you have a metal body and you cut a piece away from it (so that you have a piece with hole and a cylinder [which was removed from the hole]), the cylinder expands due to heating, was it inside the hole or not. This is a simple thing but hard to explain, if someone can explain better please do it.
The atomic level answer would be that heat causes expansion and all the atoms move apart due to increased thermal activity.
but if thermal expansion occurs it must take place in all possible directions and the change in radius then will unprdictable
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