Lesson 10, Topic 2
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# Linear Expansivity

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### Topic Content:

• Definition of Linear Expansivity
• Calculations on Linear Expansivity

Expansivity is the increase in the length of a substance when its temperature increases by one kelvin or degree Celsius.

Linear expansivity (α) of a substance is defined as the increase in length of a substance, per unit length of the substance, per degree rise in temperature.

Mathematically,

linear expansivity  = α

$$\scriptsize α = \normalsize \frac {Change \: in \: Length}{Original \: Length \: \times \: temperature \: rise}$$

If L1 = the original or initial length

θ1 = Original or initial temperature

L = New Length

θ2 = New temperature

α = Linear expansivity

$$\scriptsize Then \; α = \normalsize \frac {L_2\: – \:L_1}{L_1 \: \times \: (\theta_2\: – \: \theta_1\ ) }$$

The S.I unit is per kelvin $$\scriptsize K^{-1}$$ or per degree Celsius $$\scriptsize ^{०} C^{-1}$$

For a change in length,

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