From a tower of height H, a particle is thrown 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:

Question

( A ) $gH = (n-2) u^2$
( B ) $gH = (n-2)^2 u^2$
( C ) $2gH = n^2u^2$
( D ) $2gH = nu^2 (n-2)$