What happens to the angle of a circular ring as temperature increases?

[Jahnavi]

Homework Statement

A part of a circular ring is missing .What happens to the angle when temperature is increased ?

1) θ increases
2) θ decreases
3) θ remains same
4) θ increases initially but becomes constant after a particular temperature .

Homework Equations

The Attempt at a Solution

As temperature increases , the length of circular gap on the ring will increase , but I am not sure what will happen to the angle .

Could someone help me .

 

[.Scott]

If an object expands evenly due to evenly distributed heated, will its shape change?

 

[Chestermiller]

If a body experiences unconstrained thermal expansion, the expansion takes place isotropically, and all linear dimensions of the body expand by the same percentage.

 

[Jahnavi]

and all linear dimensions of the body expand by the same percentage.

In that case , ratio of length of the circular gap to radius remains same as before .

Option 3) would be correct . Right ?

 

[Chestermiller]

In that case , ratio of length of the circular gap to radius remains same as before .

Option 3) would be correct . Right ?

Yes

 

[Jahnavi]

Thanks !