Question

What are coefficients of linear, superficial and cubical expansion? How are they related?explain briefly ​

Answer 1

Increase in length per unit of the length, per degree Celsius rise in temperature is called Coefficient of Linear expansion. Increase in area per unit of the original area, per degree Celsius rise in temperature is called Coefficient of Superficial expansion. Increase in volume per unit of the original volume, per degree Celsius rise in temperature is called Coefficient of cubic expansion.

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Answer 2

1. Linear Expansion = Increase in Length with every one degree rise in Temperature.

Co-efficient of Linear Expansion = $\dfrac{Increase \ in \ Length}{Original \ Length}$  

                                                                                        for rise of every 1° C

2. Superficial Expansion = Increase in Area with every one degree rise in Temperature.

Co-efficient of Superficial Expansion = $\dfrac{Increase \ in \ Area}{Original \ Area}$

                                                                                            for rise of every 1° C

Co-efficient of Superficial expansion = 2 × Co-efficient of Linear Expansion

3. Cubical Expansion = Increase in Volume with every one degree rise in Temperature.

Co-efficient of Cubical Expansion = $\dfrac{Increase \ in \ Volume}{Original \ Volume}$  

                                                                                        for rise of every 1° C

Co-efficient of Cubical Expansion = 3 × Co-efficient of Linear expansion