Question

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

• A. $2.7$
• B. $2$
• C. $1.5$
• D. $9.5$

Answer 1

The correct option is C $1.5$

Coefficient of cubical expansion $\left(\gamma \right)$ is related to coefficient of superficial expansion $\left(\beta \right)$ as given below
$\frac{\gamma }{3}=\frac{\beta }{2}$
Thus $\gamma =\frac{3}{2}\beta$
But $\gamma =x\beta$ (Given in question)
$\Rightarrow x=\frac{3}{2}=1.5$.