Ans: A
Let $w = ku^3\sqrt{v}$, where $k \neq 0$.
Let $w = ku^3\sqrt{v}$, where $k \neq 0$.
When $u = 2$ and $v = 4$, $w=8$. We have
$\begin{array}{rcl}
8 & = & k \times 2^3 \times \sqrt{4} \\
k & = & \dfrac{1}{2}
\end{array}$
When $u=4$ and $v=9$, we have
$\begin{array}{rcl}
w & = & \dfrac{1}{2} \times 4^3 \times \sqrt{9} \\
w & = & 96
\end{array}$
