Question

write the dimensional formula of coefficient of thermal expansion?

Answer 1

hello friend here's your answer..
dimensional formula for coefficient of linear expansion is M^0L^0T^0K^-1..
i guess it helps you..if you find useful mark me brainliest ...

Answer 2

first of all, Let see formula of thermal expansion.

from linear thermal expansion,
$L=L_0(1+\alpha\Delta{T})$
where $L_0$ is initial length of metal wire, L is the length of wire after changing in temperature of surrounding of wire.
∆T is change in temperature and $\alpha$ is coefficient of thermal expansion.
$\alpha=\frac{L-L_0}{L_0\Delta{T}}$

so, dimension of $\alpha$=dimension of (L-$L_0$/(dimension of $L_0$ × dimension of ∆T)
= [L]/([L] × [K])
= [K^-1]

hence , dimension of coefficient of thermal expansion is $[K^{-1}]$.