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 :-
Statement I is false but Statement II is true
Both Statement I and Statement II are true
Statement I is true but Statement II is false
Both Statement I and Statement II are false.
Solution
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