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Statement I: Two forces \( (\vec{P}+\vec{Q}) \) and \( (\vec{P}-\vec{Q}) \) where
\( \mathrm{P} \)
\( a^{2}, \vec{P} \perp \vec{Q} \), when act at an angle \( \theta_{1} \) to each other, the
W 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. \( \theta_{1}=60^{\circ} \) and \( \theta_{2}=90^{\circ} \)
[JEE Main-2021 (August)]
In the light of the above statements, choose the most appropriate answer from the options given below:-
(a) Statement \( \mathrm{I} \) is false but Statement \( \mathrm{II} \) is true
(b) Both Statement I and Statement II are true
(c) Statement \( \mathrm{I} \) is true but Statement \( \mathrm{II} \) is false
(d) Both Statement I and Statement II are false.
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