Question

State three factors on which the linear expansion of a metal rod on heating depends.

Answer 1

1. When a solid is in the form of a rod or a wire, on heating, its length increases this is called linear expansion.
2. The linear expansion of the solid depends on the following three factors:

a) The linear expansion of a metal rod depends upon the original length of the rod.

b) It is directly proportional to the original length(say L) of the metal rod that is,

$\mathrm{Linear}\mathrm{expansion}\mathrm{of}\mathrm{metal}\mathrm{rod}(∆\mathrm{L})\propto \mathrm{original}\mathrm{length}\mathrm{of}\mathrm{the}\mathrm{rod}\left(\mathrm{L}\right)$

c) The linear expansion of the metal rod depends on the rise in temperature($∆\mathrm{T}$) of the metal rod.

d) It is directly proportional to the rise in temperature of the metal rod that is,

$\mathrm{The}\mathrm{linear}\mathrm{expansion}\mathrm{of}\mathrm{the}\mathrm{metal}\mathrm{rod}(∆\mathrm{L})\propto \mathrm{rise}\mathrm{in}\mathrm{temperature}(∆\mathrm{T})$

e) The linear expansion of the metal rod depends on the nature of the material of the metal rod.