Question

If the coefficient of cubical expansion is 'x' times of the coefficient of superficial expansion, then value of 'x' is

• A. 1
• B. 1/2
• C. 3/2
• D. 4

Answer 1

The correct option is C 3/2

Relation between coefficient of linear expansion($\alpha$), coefficient of superficial expansion ($\beta$) and coefficient of cubical expansion ($\gamma$) is

$\alpha :\beta :\gamma =1:2:3\Rightarrow \gamma =\frac{3}{2}\beta$

According to question; $\gamma =x\beta x=\frac{3}{2}$