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A brass plate has a circular hole whose diameter is slightly smaller than the di

ID: 1463072 • Letter: A

Question

A brass plate has a circular hole whose diameter is slightly smaller than the diameter of an aluminum ball. If the ball and the plate are always kept at the same temperature, a) should the temperature of teh system be increased or decreased in order for the ball to fit through the hole? b) Choose the best explanation from among the following:

I - The aluminum ball changes its diameter more with temperature than the brass plate, and therefore the temperature should be decreased.

II - Changing the temperature won't change the fact that the ball is larger than the hole.

III - Heating the brass plate makes its hole larger, and that will allow the ball to pass through.

Explanation / Answer

First option is correct

I - The aluminum ball changes its diameter more with temperature than the brass plate, and therefore the temperature should be decreased.

Because when we decrease the temperature then volume of brass will decrease so hole would become larger and aluminum ball would also decrease its volume with more rate so its size will decrease

And hence it can fir into the hole.