Class 11Physics1 Thermal Properties of Matter: Thermometry, Expansion and CalorimetryThermal Expansion for Solid
MediumWrite the relation between the coefficient of linear expansion $(\alpha_l)$,coefficient of area expansion $(\alpha_A)$,and coefficient of volume expansion $(\alpha_V)$.
(N/A) The coefficient of linear expansion $(\alpha_l)$ is defined as the fractional change in length per unit change in temperature.
The coefficient of area expansion $(\alpha_A)$ is defined as the fractional change in area per unit change in temperature,which is approximately $2\alpha_l$.
The coefficient of volume expansion $(\alpha_V)$ is defined as the fractional change in volume per unit change in temperature,which is approximately $3\alpha_l$.
Therefore,the relationship between them is given by the ratio: $\alpha_l : \alpha_A : \alpha_V = 1 : 2 : 3$.
The coefficient of area expansion $(\alpha_A)$ is defined as the fractional change in area per unit change in temperature,which is approximately $2\alpha_l$.
The coefficient of volume expansion $(\alpha_V)$ is defined as the fractional change in volume per unit change in temperature,which is approximately $3\alpha_l$.
Therefore,the relationship between them is given by the ratio: $\alpha_l : \alpha_A : \alpha_V = 1 : 2 : 3$.
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