Question

21) If a is coefficient of Linear
expansion , b coefficient of
areal expansion, c coefficient
of volume expansion. Which of
the following is true :​

Answer 1

Answer:

α = coefficient of linear expansion

β = coefficient of areal expansion

γ = coefficient of volume expansion

Since, coefficient of linear expansion is in one direction and areal in two dimension followed by three dimension in case of volume expansion. So, to compensate that factor the relation between them will be like.

α = β /2= γ /3

Explanation:

Hope this will help you

pls make me the brainiest

Answer 2

Answer:

We have to find a relationship between areal expansion coefficient (β) and volume expansion coefficient (γ).

This is possible only by comparing both the terms with linear expansion coefficient.

We need to remember the following relations:

$\sf\bigstar \: volume \: exp = 3(linear \: exp ) \\ = > \gamma = 3 \alpha$

Again, we can say that :

$\bigstar \sf\: areal \: exp = 2(linear \: exp ) \\ = > \beta = 2 \alpha$

Dividing the above 2 Equations :

$\sf= > \dfrac{ \gamma }{ \beta } = \dfrac{3 \cancel \alpha }{ 2\cancel \alpha }$

$= > \beta = \dfrac{2}{3} \gamma$

So final answer :

$\boxed{ \pink{ \bold{\beta = \dfrac{2}{3} \gamma }}}$

Additional information on expansion coefficients :

Expansion coefficients are material dependent.

• They don't depend on the size of the objects
• They are of the order 10^(-6) units

*Mark as Brainlest*