Statement I: Two forces $\left(\stackrel{\Delta \stackrel{\Delta}{\mathrm{P}}+\stackrel{\Delta}{\mathrm{Q}})}{(\stackrel{\Delta}{\mathrm{P}}-\stackrel{\Delta}{\mathrm{Q}})}\right.$ and where $^{(\stackrel{\Delta}{\mathrm{P}} \perp \stackrel{\Delta}{\mathrm{Q}})}$, when act at an angle $\theta_1$ to each other, the magnitude of their resultant is $\sqrt{3\left(P^2+Q^2\right)}$ when they act at an angle $\theta 2$, the magnitude of their resultant becomes $\sqrt{2\left(P^2+Q^2\right)}$. This is possible only when $\theta_1<\theta_2$. Statement II : In the situation given above. $$ \theta_1=60^{\circ} \text { and } \theta_2=90^{\circ} $$ In the light of the above statements, choose the most appropriate answer from the options given below :-