A particle \( P \) is projected with velocity \( u_{1} \) at angle ...

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A particle \( P \) is projected with velocity \( u_{1} \) at angle of \( 45^{\circ} \) with the horizontal. At the same time another
\( \mathrm{P} \) particle \( Q \) is thrown vertically upwards with the velocity \( u_{2} \) from a point vertically below the highest
WV point of path of \( P \). The necessary condition for the two particles to collide at highest point is
(1) \( u_{1}=\sqrt{2} u_{2} \)
(2) \( u_{2}=\sqrt{2} u_{1} \)
(3) \( u_{2}=2 u_{1} \)
(4) \( u_{1}=2 u_{2} \)
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