# Find the Dimensions of the Coefficient of Linear Expansion α and - Physics

Sum

Find the dimensions of the coefficient of linear expansion α and

#### Solution

Coefficient of linear expansion,
$\left[ Q \right] = {\left[ {ML}^2 T^{- 2} \right]} \text{ and } \left[ T \right] = \left[ K \right]$
$So, \left[ C \right] = \frac{\left[ {ML}^2 T^{- 2} \right]}{\left[ M \right] \left[ K \right]} = \left[ L^2 T^{- 2} K^{- 1} \right]$
So, $\left[ \alpha \right] = \frac{\left[ L \right]}{\left[ LK \right]} = \left[ K^{- 1} \right]$

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