Thermal expansion

Two identical circular holes are made in a metallic square sheet, and two tiny points A A and B B are marked next to the holes, as shown in the diagram.

If the temperature of the whole sheet is uniformly raised, then the size of the holes will __________ \text{\_\_\_\_\_\_\_\_\_\_} and the distance between A A and B B will __________ . \text{\_\_\_\_\_\_\_\_\_\_}.

decrease, increase increase, decrease decrease, decrease increase, increase

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Naren Bhandari
Feb 11, 2018

Case 1 : When the sheet is completely plane with no holes.
In this case when heat is supplied to the sheet the intermolecular spacing increases due to high kinectic energy possessed by the molecules which only expands in outward direction increasing the size of sheet.

Case 2 : When the sheet is created with holes and point A and B marked as per problem.

Regarding this case the sheet will follow the same nature of Case 1 resulting the increase in the size of holes . Moreover, the the molecules around the holes created will expand inward direction where inward expansion is lesser than outward expansion resulting the bi-directional (inward and outward ) expansion of sheet which further gives increase in the distance between two point A and B.

Shouvik Chaudhury
Jul 20, 2018

When the temperature goes up, the distance between any two points will increase (principle of expansion). Consider any two points on the circumference of the holes, the distance between them should increase and therefore the holes will also increase in size. Similarly, the distance between A and B (two points) will also increase.

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...