An industrial fabrication process stamps out thin metal pieces, each in the shape of a square with a circular hole in the middle, from a large thin sheet. These pieces are mounted in a large machine. As these pieces heat up during regular machine operation, the diameter of the circular hole will . (A) stay the same. (B) increase. (C) decrease. (D) behave unpredictably causing the machine to malfunction

The diameter of a circular hole will increase.  

•With the elevation in temperature, metals experience a small enhancement in width, length, volume, and overall area. This phenomenon is termed as thermal expansion.  

•It takes place because of an increase in atomic vibrations with the magnitude of the expansion based upon the specific metal.  

•The general increase in the volume of a material with the increase in temperature is termed as thermal expansion. It is generally expressed as a fractional change in volume or length per unit change in temperature.  

•When a metal is having similar structural configuration throughout, the expansion will be uniform in all the dimensions of the crystal.  

Thus, in the given case, the diameter of the circular hole will increase.

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Explanation:

It is given that a circular hole is made in a thin sheet and the circular shape is mounted on the machine to heat it.

As the metal is heated its size increases because of thermal expansion. This can also be explained by taking the account of the kinetic energy of molecules which increases as the temperature is increased. This increased kinetic energy causes the molecule to take more space and thus metal expands on heating .  

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