From a tower of height

Question:

From a tower of height $\mathrm{H}$, 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 $\mathrm{H}, u$ and $\mathrm{n}$ is :

  1. $2 \mathrm{~g} \mathrm{H}=\mathrm{nu}^{2}(\mathrm{n}-2)$

  2. $\mathrm{g} \mathrm{H}=(\mathrm{n}-2) \mathrm{u}^{2}$

  3. $2 \mathrm{~g} \mathrm{H}=\mathrm{n}^{2} \mathrm{u}^{2}$

  4. $\mathrm{g} \mathrm{H}=(\mathrm{n}-2)^{2} \mathrm{u}^{2}$

Correct Option: 1

Solution:

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