Duration: 12:39

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A particle is projected with speed \( u \) at an angle \( \theta \) to the horizontal. Select correct alternative(s).
List I
List II
(P) Speed at half of its
(1) \( \frac{u^{2}}{g \cos \theta} \) maximum height is
(Q) Magnitude of average
(2) \( \frac{\mathrm{u}^{2} \cos ^{2} \theta}{\mathrm{g}} \) velocity when its reaches the maximum height is
(R) The radius of curvature (3) \( \mathrm{u} \sqrt{\frac{1+\cos ^{2} \theta}{2}} \) at point of projection is
(S) The radius of curvature (4) \( \frac{\mathrm{u}}{2} \sqrt{1+3 \cos ^{2} \theta} \). at the highest point of its trajectory is
Codes
\( \begin{array}{rlll}\mathbf{P} & \mathbf{Q} & \mathbf{R} & \mathbf{S} \\ \text { (1) } 3 & 4 & 2 & 2 \\ \text { (2) } 3 & 4 & 1 & 2 \\ \text { (3) } 3 & 2 & 1 & 4 \\ \text { (4) } 3 & 4 & 2 & 1\end{array} \)
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