1. Explain the meaning of the statement “ The coefficient of linear expansion of iron is 1.2 x 10-5°C-1".
Answers
The coefficient of linear expansion of iron is 1.2 x 10⁻⁵ °C⁻¹ means for every one degree Celsius increase there is relative linear increase of 1.2 x 10⁻⁵ in iron.
Step-by-step explanation:
Because of temperature change there is a tendency of matter to change its shape, area, volume, and density.
This process is called thermal expansion.
The relative linear expansion divided by the change in temperature is called the material's coefficient of linear thermal expansion.
relative linear expansion = δL/L
The coefficient of linear expansion of iron is 1.2 x 10⁻⁵ °C⁻¹ means for every one degree Celsius increase there is relative linear increase of 1.2 x 10⁻⁵ in Iron
δL/L = 1.2 x 10⁻⁵ for every on degree increase of temperature in iron
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The coefficient of linear expansion of iron is 1.2 x 10-5°C-1
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Step-by-step explanation:
Coefficient of linear expansion α is defined as the fractional change in length per unit change in temperature.
As per given statement, if coefficient of linear expansion of iron is 1.2 x 10-5°C-1, then it means that there is a change in length of iron of 1.2 x 10-5° for every 1C change in temperature
Consider an element dx of the rod of length L at a distance x from one of its end. We are interested to find what change in length (δ) of this element will take place due to change in temperature ΔT
By definition of temperature coefficient of linear expansion, we have for this element,
α=δdxΔT