1Which of these has the same dimensions as coefficient of linear expansion?
Coefficient of linear expansion and coefficient of volume expansion both have the dimensions [K⁻¹].
Heat and thermodynamicsClass 11, Thermal Properties of Matter
Dimensional formula of Coefficient of linear expansion
[K-1]
Fractional change in length per kelvin. The lengths cancel, leaving one over temperature.
How to get the dimensional formula of coefficient of linear expansion
- Start from the definition: coefficient of linear expansion = length / (length × temperature).
- Put in the dimension of each part: [L] / ([L] × [K]).
- Add the powers of each base quantity: [K-1].
Quantities with the dimensions [K⁻¹]
Equal dimensions do not make them the same quantity. Compare coefficient of linear expansion with the others in the full grid.
Three questions on coefficient of linear expansion
2What is the SI unit of coefficient of linear expansion?
The SI unit of coefficient of linear expansion is the per kelvin (K⁻¹).
3Which one has different dimensions from the others?
Solar constant is [M T⁻³]. The other three are all [K⁻¹].
Coefficient of linear expansion: quick answers
What is the dimensional formula of coefficient of linear expansion?
The dimensional formula of coefficient of linear expansion is [K⁻¹]. It comes from coefficient of linear expansion = length / (length × temperature).
What is the SI unit of coefficient of linear expansion?
The SI unit of coefficient of linear expansion is the per kelvin (K⁻¹).
Which quantities have the same dimensions as coefficient of linear expansion?
Coefficient of linear expansion shares [K⁻¹] with coefficient of volume expansion, temperature coefficient of resistance. Equal dimensions do not make them the same quantity.