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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

$(a)\;2gH=n^{2}u^{2} \qquad(b)\; gH= (n-2)^{2}u^{2}\qquad(c)\;2gH=nu^{2}(n-2)\qquad(d)\; gH=(n-2)u^{2}$

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