# From a tower of height $H$, a particle is thrown vertically upwards with a speed $u$. The time taken by the particles, 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

$\begin{array}{1 1}(A)\;2gH=nu^2(n-2) \\ (B)\;gH=(n-2)u^2\\(C)\;2gH=n^2u^2 \\(D)\;gH=(n-2)^2u^2 \end{array}$

The relation between $H, u\; and\; n$ is $2gH=nu^2(n-2)$
Hence A is the correct answer.