Does the coefficient of linear expansion depend upon length describe?

Answer 1

The coefficient of linear expansion DOES not depend on the length. Each material has a certain value for its coeeficient of linear expansion. The length of the material dictates how much it will expand linearly for a given rise in temperature.

L" = L'(1 + a x (T'' - T'))

That is the length at temperature T'' which is higher than temperature T' is given by the length L' at temperature T' multiplied by the quantity [1 + a x (T" - T')], where a is the coefficient of linear expansion which is constant for a given material. Thus if the temperature difference T" - T' is large then the expansion will be large which means L" - L' will be large. Likewise if the original length L' is large, then the corresponding expanded length L" will be large

Answer 2

I don't think so. The coefficient of thermal expansion is a ratio of two lengths. So,

as long as both of them are in the same unit, the coefficient is dimensionless, and

it's independent of the unit or system of units.

Answer 3

Coefficient of linear expansion is an intensive property of the material of the rod and not depending on the dimension. But simply expansion does depend on dimension i.e. length. Note the difference expansion and coefficient of linear expansion

Answer 4

The coefficient of linear expansion is a constant for a given material and doesn't depend on the length of the material. It represents the fractional change in length per degree Celsius of temperature change.

Answer 5

No, it does not depend on the length. A longer object will expand more; but the percentage increase will be the same.