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Question
Find the dimensions of the coefficient of linear expansion α and
Sum
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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