Question

Two metallic rod of the same material but of different lengths are heated.Smaller rod has circular area of cross section but larger rod has rectangular cross section.Will their linear expansivity be the same or different? Give justification

Answer 1

Answer:

Linear expansivity is a property specific to a material and hence is constant.

Explanation:

Linear expansivity of the material will be constant irrespective of the shape and size of the material because it is a specific property.

It is a tendency of a material to expand in response to the increase in temperature.

The mathematical expression is given as:

$\Delta L=L.\alpha.\Delta T$

where:

$\Delta T$= change in temperature

L= initial length of the specimen

$\alpha$= linear expansivity

$\Delta L$=change in length