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A projectile is fired with velocity \( u \) at entrance \( A \) of a horizontal tunnel of length \( L \) and height \( H \). The minimum value of \( u \) for which projectile will reach at the other end of the tunnel without touching the top of the tunnel is
(1) \( u=\sqrt{2 g h} \sqrt{1+\frac{L^{2}}{4 H}} \)
(2) \( u=\sqrt{2 g h} \sqrt{1-\frac{L^{2}}{4 H}} \)
(3) \( u=\sqrt{2 g h} \sqrt{1+\frac{L^{2}}{2 H}} \)
(4) \( u=\sqrt{2 g h} \sqrt{1-\frac{L^{2}}{2 H}} \)
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