Define co-efficient of linear expansion (α)
and write its unit.
Answers
Answer:
To put simply, linear expansion is the phenomena of increase in the length of a specimen or material because of the rising temperature of this same material. Consequently, the coefficient of linear expansion is expressed as the per degree Celsius, or change in the length of a 1 unit long material when there is a 10 C rise in temperature.
Coefficient of Linear Expansion Formula
As per the definition, the formula is expressed as
αL1 = ∆L / ∆T, or
αL1 = dL / dT,
Where,
α define coefficient of linear expansion.
L1 is the initial length of the material.
dL indicates a unit change in length.
dT indicates a unit change in temperature.
SI unit & Dimension
The SI unit of coefficient of linear expansion can be expressed as °C-1 or °K-1. Here, C indicates Celsius and K indicate Kelvin.
The dimension of coefficient of linear expansion will be [M^0L^0T^0K^-1].
- Expansion means, change or increase in length. If the change in length is along one dimension (length) over the volume, then it is called linear expansion.
- Alpha is the coefficient of linear expansion. dL is the unit change in length. dT is the unit change in temperature.