JEE Physics Practice Question

Statement I : Two forces $$\left( {\overrightarrow P + \overrightarrow Q } \right)$$ and $$\left( {\overrightarrow P - \overrightarrow Q } \right)$$ where $$\overrightarrow P \bot \overrightarrow Q $$, when act at an angle $$\theta$$1 to each other, the magnitude of their resultant is $$\sqrt {3({P^2} + {Q^2})} $$, when they act at an angle $$\theta$$2, the magnitude of their resultant becomes $$\sqrt {2({P^2} + {Q^2})} $$. This is possible only when $${\theta _1} < {\theta _2}$$. Statement II : In the situation given above. $$\theta$$1 = 60$$^\circ$$ and $$\theta$$2 = 90$$^\circ$$ In the light of the above statements, choose the most appropriate answer from the options given below :-

1. A.Statement I is false but Statement II is true
2. B.Both Statement I and Statement II are true
3. C.Statement I is true but Statement II is false
4. D.Both Statement I and Statement II are false.