From a tower of height \( H \), a particle is thrown \( \mathrm{P} ...

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From a tower of height \( H \), a particle is thrown
\( \mathrm{P} \) vertically upwards with a speed \( u \). The time taken by the particle to hit the ground is \( n \) times that taken by it to reach the highest point of its path. The relation between \( H, u \) and \( n \) is
(1) \( 2 g H=n^{2} u^{2} \)
(2) \( g H=(n-2)^{2} u^{2} \)
(3) \( 2 g H=m u^{2}(n-2) \)
(4) \( g H=(n+2)^{2} u^{2} \)
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