$\begin{aligned}
& \text { rate }=\mathrm{k}_2[\mathrm{A}]\left[\mathrm{B}_2\right] \ldots \ldots \
& \left(\frac{\mathrm{k}1}{\mathrm{k}{-1}}\right)=\left(\frac{[\mathrm{A}]^2}{\left[\mathrm{A}_2\right]}\right) \
& \Rightarrow[\mathrm{A}]=\sqrt{\frac{\mathrm{k}1}{\mathrm{k}{-1}}} \cdot \sqrt{\left[\mathrm{A}_2\right]}
\end{aligned}Substitutingin(1);weget\begin{aligned} & \text { Rate }=\mathrm{k}_2 \sqrt{\frac{\mathrm{k}1}{\mathrm{k}{-1}}} \cdot\left[\mathrm{A}_2\right]^{\frac{1}{2}} \cdot\left[\mathrm{~B}_2\right] \ & \therefore \text { order }=\left(\frac{3}{2}\right)=1.5\end{aligned}$
The overall order of the reaction is :