JEE MAIN - Physics (2024 - 8th April Morning Shift - No. 23)
Three vectors $$\overrightarrow{\mathrm{OP}}, \overrightarrow{\mathrm{OQ}}$$ and $$\overrightarrow{\mathrm{OR}}$$ each of magnitude $$\mathrm{A}$$ are acting as shown in figure. The resultant of the three vectors is $$\mathrm{A} \sqrt{x}$$. The value of $$x$$ is _________.
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Answer
3
Explanation
$$\begin{aligned}
&\begin{aligned}
& (\vec{P}+\vec{Q})=\sqrt{2} A \\
& R=A \\
& \theta=90^{\circ}
\end{aligned}\\
&\text { Resultant }=\sqrt{3} A
\end{aligned}$$
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