Solveeit Logo

Question

Question: The symbol used for volumetric expansion is A. \(\gamma \) B. \(\beta \) C. \(L\) D. \(\alph...

The symbol used for volumetric expansion is
A. γ\gamma
B. β\beta
C. LL
D. α\alpha

Explanation

Solution

In order to answer this question, we will be recalling the theory of expansion and their types. We will also be finding the factors due to which the expansions occur and also find the coefficient of volumetric expansion.

Formula used:
Formula for volumetric expansion ΔV=γV0ΔT\Delta V=\gamma {{V}_{0}}\Delta T. Here ΔV\Delta V is the change in volume, γ\gamma is the volumetric expansion coefficient, V0{{V}_{0}} is the original volume and ΔT\Delta T is the change in temperature.

Complete answer:
The term expansion is defined as the action of becoming larger or more extensive. There are many factors affecting materials to expand in nature out of which the most common is temperature. The expansion caused due to increase in temperature is known as thermal expansion.

Now if we talk particularly about the expansion of volume due to the effect of temperature, then we can say that the change in the volume of the material is directly proportional to the change in temperature, i.e., the formulae for a volumetric expansion can be written as
ΔV=γV0ΔT\Delta V=\gamma {{V}_{0}}\Delta T
From the above expression, we can say that the symbol for the volumetric expansion is γ\gamma.

Hence, the correct answer is option A.

Note: Similar to the volumetric expansion, there exist the linear expansion and the area expansion. It can be said that the volume of a gas, solid or liquid can change if the temperature, the pressure or the forces acting on the gas, solid or the liquid changes. We have taken an example of expansion due to the effect of temperature in the above solution.Different books can have different symbols for volumetric expansion.